Reproducibility of "Do environmental characteristics predict spatial memory about unfamiliar environments?".ipynb

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   "id": "c743d401",
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   "outputs": [
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     "name": "stderr",
     "output_type": "stream",
     "text": [
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   "source": [
    "#Set working directory\n",
    "\n",
    "#load libraries\n",
    "library(gdata)\n",
    "library(pander)\n",
    "library(dplyr)\n",
    "library(lme4)\n",
    "library(afex)\n",
    "library(lmerTest)\n",
    "library(MuMIn)\n",
    "library(Hmisc)"
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       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 3613 × 16</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>participant</th><th scope=col>start_landmark</th><th scope=col>start_by_route</th><th scope=col>facing_landmark</th><th scope=col>target_landmark</th><th scope=col>target_by_route</th><th scope=col>bearing</th><th scope=col>actual_direction</th><th scope=col>abs_error</th><th scope=col>same_or_different</th><th scope=col>seenunseen</th><th scope=col>trial_type</th><th scope=col>error_start_RouteA</th><th scope=col>error_target_RouteA</th><th scope=col>error_start_RouteB</th><th scope=col>error_target_RouteB</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
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       "\t<tr><td>1</td><td>Batty House  </td><td>1</td><td>Lynch Station</td><td>Harris Hall  </td><td>1</td><td>25</td><td> 37.528637</td><td> 12.528637</td><td>same     </td><td>0</td><td>0</td><td> 12.528637</td><td> 12.528637</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Batty House  </td><td>1</td><td>Lynch Station</td><td>Tobler Museum</td><td>2</td><td>16</td><td> 37.308022</td><td> 21.308022</td><td>different</td><td>1</td><td>2</td><td> 21.308022</td><td>        NA</td><td>      NA</td><td>21.308022</td></tr>\n",
       "\t<tr><td>1</td><td>Batty House  </td><td>1</td><td>Lynch Station</td><td>Snow Church  </td><td>2</td><td> 7</td><td> 48.199476</td><td> 41.199476</td><td>different</td><td>1</td><td>2</td><td> 41.199476</td><td>        NA</td><td>      NA</td><td>41.199476</td></tr>\n",
       "\t<tr><td>1</td><td>Batty House  </td><td>1</td><td>Lynch Station</td><td>Sauer Center </td><td>2</td><td>14</td><td> 30.331695</td><td> 16.331695</td><td>different</td><td>1</td><td>2</td><td> 16.331695</td><td>        NA</td><td>      NA</td><td>16.331695</td></tr>\n",
       "\t<tr><td>1</td><td>Batty House  </td><td>1</td><td>Lynch Station</td><td>Golledge Hall</td><td>2</td><td>25</td><td> 51.767682</td><td> 26.767682</td><td>different</td><td>1</td><td>2</td><td> 26.767682</td><td>        NA</td><td>      NA</td><td>26.767682</td></tr>\n",
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       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Harris Hall  </td><td>1</td><td> 2</td><td>  7.021705</td><td>  5.021705</td><td>same     </td><td>0</td><td>0</td><td>  5.021705</td><td>  5.021705</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Golledge Hall</td><td>2</td><td>23</td><td>  3.323864</td><td> 19.676136</td><td>different</td><td>1</td><td>2</td><td> 19.676136</td><td>        NA</td><td>      NA</td><td>19.676136</td></tr>\n",
       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Batty House  </td><td>1</td><td> 8</td><td>130.654246</td><td>122.654246</td><td>same     </td><td>0</td><td>0</td><td>122.654246</td><td>122.654246</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Tobler Museum</td><td>2</td><td>41</td><td> 17.950764</td><td> 23.049236</td><td>different</td><td>1</td><td>2</td><td> 23.049236</td><td>        NA</td><td>      NA</td><td>23.049236</td></tr>\n",
       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Harvey House </td><td>1</td><td>28</td><td> 48.195938</td><td> 20.195938</td><td>same     </td><td>1</td><td>1</td><td> 20.195938</td><td> 20.195938</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Snow Church  </td><td>2</td><td>11</td><td>  8.968175</td><td>  2.031825</td><td>different</td><td>1</td><td>2</td><td>  2.031825</td><td>        NA</td><td>      NA</td><td> 2.031825</td></tr>\n",
       "\t<tr><td>1</td><td>Lynch Station</td><td>1</td><td>Harris Hall  </td><td>Sauer Center </td><td>2</td><td>35</td><td> 29.209033</td><td>  5.790967</td><td>different</td><td>1</td><td>2</td><td>  5.790967</td><td>        NA</td><td>      NA</td><td> 5.790967</td></tr>\n",
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       "\t<tr><td>1</td><td>Harris Hall  </td><td>1</td><td>Harvey House </td><td>Golledge Hall</td><td>2</td><td>82</td><td> 77.710822</td><td>  4.289178</td><td>different</td><td>1</td><td>2</td><td>  4.289178</td><td>        NA</td><td>      NA</td><td> 4.289178</td></tr>\n",
       "\t<tr><td>1</td><td>Harris Hall  </td><td>1</td><td>Harvey House </td><td>Snow Church  </td><td>2</td><td>76</td><td> 84.728112</td><td>  8.728112</td><td>different</td><td>1</td><td>2</td><td>  8.728112</td><td>        NA</td><td>      NA</td><td> 8.728112</td></tr>\n",
       "\t<tr><td>1</td><td>Harris Hall  </td><td>1</td><td>Harvey House </td><td>Lynch Station</td><td>1</td><td>92</td><td>114.562794</td><td> 22.562794</td><td>same     </td><td>0</td><td>0</td><td> 22.562794</td><td> 22.562794</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Harris Hall  </td><td>1</td><td>Harvey House </td><td>Sauer Center </td><td>2</td><td>76</td><td>110.657434</td><td> 34.657434</td><td>different</td><td>1</td><td>2</td><td> 34.657434</td><td>        NA</td><td>      NA</td><td>34.657434</td></tr>\n",
       "\t<tr><td>1</td><td>Harris Hall  </td><td>1</td><td>Harvey House </td><td>Batty House  </td><td>1</td><td>66</td><td> 83.352166</td><td> 17.352166</td><td>same     </td><td>1</td><td>1</td><td> 17.352166</td><td> 17.352166</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Harris Hall  </td><td>1</td><td>Harvey House </td><td>Harvey House </td><td>1</td><td>28</td><td>  2.146797</td><td> 25.853203</td><td>same     </td><td>1</td><td>1</td><td> 25.853203</td><td> 25.853203</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Lynch Station</td><td>1</td><td>41</td><td> 32.282464</td><td>  8.717536</td><td>same     </td><td>1</td><td>1</td><td>  8.717536</td><td>  8.717536</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Tobler Museum</td><td>2</td><td>61</td><td> 42.146159</td><td> 18.853841</td><td>different</td><td>1</td><td>2</td><td> 18.853841</td><td>        NA</td><td>      NA</td><td>18.853841</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Snow Church  </td><td>2</td><td>69</td><td> 66.191402</td><td>  2.808598</td><td>different</td><td>1</td><td>2</td><td>  2.808598</td><td>        NA</td><td>      NA</td><td> 2.808598</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Harris Hall  </td><td>1</td><td>11</td><td>  4.196895</td><td>  6.803105</td><td>same     </td><td>1</td><td>1</td><td>  6.803105</td><td>  6.803105</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Golledge Hall</td><td>2</td><td>67</td><td> 64.953025</td><td>  2.046975</td><td>different</td><td>1</td><td>2</td><td>  2.046975</td><td>        NA</td><td>      NA</td><td> 2.046975</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Batty House  </td><td>1</td><td>76</td><td> 46.546899</td><td> 29.453101</td><td>same     </td><td>1</td><td>1</td><td> 29.453101</td><td> 29.453101</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Sauer Center </td><td>2</td><td>53</td><td> 46.292054</td><td>  6.707946</td><td>different</td><td>1</td><td>2</td><td>  6.707946</td><td>        NA</td><td>      NA</td><td> 6.707946</td></tr>\n",
       "\t<tr><td>1</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Lynch Station</td><td>1</td><td>60</td><td>173.968314</td><td>113.968314</td><td>different</td><td>1</td><td>2</td><td>        NA</td><td>113.968314</td><td>113.9683</td><td>       NA</td></tr>\n",
       "\t<tr><td>1</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Batty House  </td><td>1</td><td>55</td><td>173.569462</td><td>118.569462</td><td>different</td><td>1</td><td>2</td><td>        NA</td><td>118.569462</td><td>118.5695</td><td>       NA</td></tr>\n",
       "\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><td>9</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Sauer Center </td><td>2</td><td> 49</td><td> 46.292054</td><td>  2.707946</td><td>different</td><td>1</td><td>2</td><td>2.707946</td><td>       NA</td><td>        NA</td><td> 2.707946</td></tr>\n",
       "\t<tr><td>9</td><td>Harvey House </td><td>1</td><td>Harris Hall  </td><td>Golledge Hall</td><td>2</td><td> 73</td><td> 64.953025</td><td>  8.046975</td><td>different</td><td>1</td><td>2</td><td>8.046975</td><td>       NA</td><td>        NA</td><td> 8.046975</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Batty House  </td><td>1</td><td>156</td><td>173.569462</td><td> 17.569462</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 17.56946</td><td> 17.569462</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Harvey House </td><td>1</td><td>156</td><td>139.930937</td><td> 16.069063</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 16.06906</td><td> 16.069063</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Harris Hall  </td><td>1</td><td>154</td><td>176.202281</td><td> 22.202281</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 22.20228</td><td> 22.202281</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Lynch Station</td><td>1</td><td>155</td><td>173.968314</td><td> 18.968314</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 18.96831</td><td> 18.968314</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Sauer Center </td><td>2</td><td> 79</td><td> 76.210883</td><td>  2.789117</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  2.789117</td><td> 2.789117</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Tobler Museum</td><td>2</td><td>132</td><td>147.028447</td><td> 15.028447</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td> 15.028447</td><td>15.028447</td></tr>\n",
       "\t<tr><td>9</td><td>Golledge Hall</td><td>2</td><td>Snow Church  </td><td>Snow Church  </td><td>2</td><td>  2</td><td>  1.204134</td><td>  0.795866</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  0.795866</td><td> 0.795866</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Harris Hall  </td><td>1</td><td> 70</td><td> 88.093462</td><td> 18.093462</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 18.09346</td><td> 18.093462</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Lynch Station</td><td>1</td><td> 63</td><td> 79.448519</td><td> 16.448519</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 16.44852</td><td> 16.448519</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Batty House  </td><td>1</td><td> 58</td><td> 90.647009</td><td> 32.647009</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 32.64701</td><td> 32.647009</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Harvey House </td><td>1</td><td>101</td><td>119.692958</td><td> 18.692958</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 18.69296</td><td> 18.692958</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Sauer Center </td><td>2</td><td>  0</td><td>  0.279262</td><td>  0.279262</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  0.279262</td><td> 0.279262</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Tobler Museum</td><td>2</td><td> 61</td><td> 63.692776</td><td>  2.692776</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  2.692776</td><td> 2.692776</td></tr>\n",
       "\t<tr><td>9</td><td>Snow Church  </td><td>2</td><td>Sauer Center </td><td>Golledge Hall</td><td>2</td><td>114</td><td>125.843115</td><td> 11.843115</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td> 11.843115</td><td>11.843115</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Batty House  </td><td>1</td><td>104</td><td>  6.744509</td><td> 97.255491</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 97.25549</td><td> 97.255491</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Harris Hall  </td><td>1</td><td>100</td><td>  4.240041</td><td> 95.759959</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 95.75996</td><td> 95.759959</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Lynch Station</td><td>1</td><td> 98</td><td> 17.762055</td><td> 80.237945</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 80.23794</td><td> 80.237945</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Tobler Museum</td><td>2</td><td>  6</td><td>  2.713388</td><td>  3.286612</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  3.286612</td><td> 3.286612</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Harvey House </td><td>1</td><td>142</td><td> 23.091344</td><td>118.908656</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>118.90866</td><td>118.908656</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Snow Church  </td><td>2</td><td> 19</td><td> 89.635257</td><td> 70.635257</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td> 70.635257</td><td>70.635257</td></tr>\n",
       "\t<tr><td>9</td><td>Sauer Center </td><td>2</td><td>Tobler Museum</td><td>Golledge Hall</td><td>2</td><td> 57</td><td> 51.856162</td><td>  5.143838</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  5.143838</td><td> 5.143838</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Harvey House </td><td>1</td><td> 32</td><td>147.248191</td><td>115.248191</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>115.24819</td><td>115.248191</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Golledge Hall</td><td>2</td><td> 77</td><td> 67.303531</td><td>  9.696469</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  9.696469</td><td> 9.696469</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Lynch Station</td><td>1</td><td> 38</td><td>156.235563</td><td>118.235563</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>118.23556</td><td>118.235563</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Snow Church  </td><td>2</td><td> 99</td><td> 38.782798</td><td> 60.217202</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td> 60.217202</td><td>60.217202</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Batty House  </td><td>1</td><td> 22</td><td>171.008665</td><td>149.008665</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>149.00867</td><td>149.008665</td><td>       NA</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Sauer Center </td><td>2</td><td> 27</td><td> 20.699814</td><td>  6.300186</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>       NA</td><td>  6.300186</td><td> 6.300186</td></tr>\n",
       "\t<tr><td>9</td><td>Tobler Museum</td><td>2</td><td>Sauer Center </td><td>Harris Hall  </td><td>1</td><td>  4</td><td>173.285264</td><td>169.285264</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>169.28526</td><td>169.285264</td><td>       NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 3613 × 16\n",
       "\\begin{tabular}{llllllllllllllll}\n",
       " participant & start\\_landmark & start\\_by\\_route & facing\\_landmark & target\\_landmark & target\\_by\\_route & bearing & actual\\_direction & abs\\_error & same\\_or\\_different & seenunseen & trial\\_type & error\\_start\\_RouteA & error\\_target\\_RouteA & error\\_start\\_RouteB & error\\_target\\_RouteB\\\\\n",
       " <int> & <chr> & <int> & <chr> & <chr> & <int> & <int> & <dbl> & <dbl> & <chr> & <int> & <int> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Harvey House  & 1 & 65 &  93.194238 &  28.194238 & same      & 1 & 1 &  28.194238 &  28.194238 &       NA &        NA\\\\\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Harris Hall   & 1 & 25 &  37.528637 &  12.528637 & same      & 0 & 0 &  12.528637 &  12.528637 &       NA &        NA\\\\\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Tobler Museum & 2 & 16 &  37.308022 &  21.308022 & different & 1 & 2 &  21.308022 &         NA &       NA & 21.308022\\\\\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Snow Church   & 2 &  7 &  48.199476 &  41.199476 & different & 1 & 2 &  41.199476 &         NA &       NA & 41.199476\\\\\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Sauer Center  & 2 & 14 &  30.331695 &  16.331695 & different & 1 & 2 &  16.331695 &         NA &       NA & 16.331695\\\\\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Golledge Hall & 2 & 25 &  51.767682 &  26.767682 & different & 1 & 2 &  26.767682 &         NA &       NA & 26.767682\\\\\n",
       "\t 1 & Batty House   & 1 & Lynch Station & Lynch Station & 1 & 38 &  47.327984 &   9.327984 & same      & 0 & 0 &   9.327984 &   9.327984 &       NA &        NA\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Harris Hall   & 1 &  2 &   7.021705 &   5.021705 & same      & 0 & 0 &   5.021705 &   5.021705 &       NA &        NA\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Golledge Hall & 2 & 23 &   3.323864 &  19.676136 & different & 1 & 2 &  19.676136 &         NA &       NA & 19.676136\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Batty House   & 1 &  8 & 130.654246 & 122.654246 & same      & 0 & 0 & 122.654246 & 122.654246 &       NA &        NA\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Tobler Museum & 2 & 41 &  17.950764 &  23.049236 & different & 1 & 2 &  23.049236 &         NA &       NA & 23.049236\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Harvey House  & 1 & 28 &  48.195938 &  20.195938 & same      & 1 & 1 &  20.195938 &  20.195938 &       NA &        NA\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Snow Church   & 2 & 11 &   8.968175 &   2.031825 & different & 1 & 2 &   2.031825 &         NA &       NA &  2.031825\\\\\n",
       "\t 1 & Lynch Station & 1 & Harris Hall   & Sauer Center  & 2 & 35 &  29.209033 &   5.790967 & different & 1 & 2 &   5.790967 &         NA &       NA &  5.790967\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Tobler Museum & 2 & 89 &  99.959846 &  10.959846 & different & 1 & 2 &  10.959846 &         NA &       NA & 10.959846\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Golledge Hall & 2 & 82 &  77.710822 &   4.289178 & different & 1 & 2 &   4.289178 &         NA &       NA &  4.289178\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Snow Church   & 2 & 76 &  84.728112 &   8.728112 & different & 1 & 2 &   8.728112 &         NA &       NA &  8.728112\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Lynch Station & 1 & 92 & 114.562794 &  22.562794 & same      & 0 & 0 &  22.562794 &  22.562794 &       NA &        NA\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Sauer Center  & 2 & 76 & 110.657434 &  34.657434 & different & 1 & 2 &  34.657434 &         NA &       NA & 34.657434\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Batty House   & 1 & 66 &  83.352166 &  17.352166 & same      & 1 & 1 &  17.352166 &  17.352166 &       NA &        NA\\\\\n",
       "\t 1 & Harris Hall   & 1 & Harvey House  & Harvey House  & 1 & 28 &   2.146797 &  25.853203 & same      & 1 & 1 &  25.853203 &  25.853203 &       NA &        NA\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Lynch Station & 1 & 41 &  32.282464 &   8.717536 & same      & 1 & 1 &   8.717536 &   8.717536 &       NA &        NA\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Tobler Museum & 2 & 61 &  42.146159 &  18.853841 & different & 1 & 2 &  18.853841 &         NA &       NA & 18.853841\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Snow Church   & 2 & 69 &  66.191402 &   2.808598 & different & 1 & 2 &   2.808598 &         NA &       NA &  2.808598\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Harris Hall   & 1 & 11 &   4.196895 &   6.803105 & same      & 1 & 1 &   6.803105 &   6.803105 &       NA &        NA\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Golledge Hall & 2 & 67 &  64.953025 &   2.046975 & different & 1 & 2 &   2.046975 &         NA &       NA &  2.046975\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Batty House   & 1 & 76 &  46.546899 &  29.453101 & same      & 1 & 1 &  29.453101 &  29.453101 &       NA &        NA\\\\\n",
       "\t 1 & Harvey House  & 1 & Harris Hall   & Sauer Center  & 2 & 53 &  46.292054 &   6.707946 & different & 1 & 2 &   6.707946 &         NA &       NA &  6.707946\\\\\n",
       "\t 1 & Golledge Hall & 2 & Snow Church   & Lynch Station & 1 & 60 & 173.968314 & 113.968314 & different & 1 & 2 &         NA & 113.968314 & 113.9683 &        NA\\\\\n",
       "\t 1 & Golledge Hall & 2 & Snow Church   & Batty House   & 1 & 55 & 173.569462 & 118.569462 & different & 1 & 2 &         NA & 118.569462 & 118.5695 &        NA\\\\\n",
       "\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t 9 & Harvey House  & 1 & Harris Hall   & Sauer Center  & 2 &  49 &  46.292054 &   2.707946 & different & 1 & 2 & 2.707946 &        NA &         NA &  2.707946\\\\\n",
       "\t 9 & Harvey House  & 1 & Harris Hall   & Golledge Hall & 2 &  73 &  64.953025 &   8.046975 & different & 1 & 2 & 8.046975 &        NA &         NA &  8.046975\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Batty House   & 1 & 156 & 173.569462 &  17.569462 & different & 1 & 2 &       NA &  17.56946 &  17.569462 &        NA\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Harvey House  & 1 & 156 & 139.930937 &  16.069063 & different & 1 & 2 &       NA &  16.06906 &  16.069063 &        NA\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Harris Hall   & 1 & 154 & 176.202281 &  22.202281 & different & 1 & 2 &       NA &  22.20228 &  22.202281 &        NA\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Lynch Station & 1 & 155 & 173.968314 &  18.968314 & different & 1 & 2 &       NA &  18.96831 &  18.968314 &        NA\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Sauer Center  & 2 &  79 &  76.210883 &   2.789117 & same      & 0 & 0 &       NA &        NA &   2.789117 &  2.789117\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Tobler Museum & 2 & 132 & 147.028447 &  15.028447 & same      & 0 & 0 &       NA &        NA &  15.028447 & 15.028447\\\\\n",
       "\t 9 & Golledge Hall & 2 & Snow Church   & Snow Church   & 2 &   2 &   1.204134 &   0.795866 & same      & 0 & 0 &       NA &        NA &   0.795866 &  0.795866\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Harris Hall   & 1 &  70 &  88.093462 &  18.093462 & different & 1 & 2 &       NA &  18.09346 &  18.093462 &        NA\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Lynch Station & 1 &  63 &  79.448519 &  16.448519 & different & 1 & 2 &       NA &  16.44852 &  16.448519 &        NA\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Batty House   & 1 &  58 &  90.647009 &  32.647009 & different & 1 & 2 &       NA &  32.64701 &  32.647009 &        NA\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Harvey House  & 1 & 101 & 119.692958 &  18.692958 & different & 1 & 2 &       NA &  18.69296 &  18.692958 &        NA\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Sauer Center  & 2 &   0 &   0.279262 &   0.279262 & same      & 0 & 0 &       NA &        NA &   0.279262 &  0.279262\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Tobler Museum & 2 &  61 &  63.692776 &   2.692776 & same      & 0 & 0 &       NA &        NA &   2.692776 &  2.692776\\\\\n",
       "\t 9 & Snow Church   & 2 & Sauer Center  & Golledge Hall & 2 & 114 & 125.843115 &  11.843115 & same      & 0 & 0 &       NA &        NA &  11.843115 & 11.843115\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Batty House   & 1 & 104 &   6.744509 &  97.255491 & different & 1 & 2 &       NA &  97.25549 &  97.255491 &        NA\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Harris Hall   & 1 & 100 &   4.240041 &  95.759959 & different & 1 & 2 &       NA &  95.75996 &  95.759959 &        NA\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Lynch Station & 1 &  98 &  17.762055 &  80.237945 & different & 1 & 2 &       NA &  80.23794 &  80.237945 &        NA\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Tobler Museum & 2 &   6 &   2.713388 &   3.286612 & same      & 0 & 0 &       NA &        NA &   3.286612 &  3.286612\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Harvey House  & 1 & 142 &  23.091344 & 118.908656 & different & 1 & 2 &       NA & 118.90866 & 118.908656 &        NA\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Snow Church   & 2 &  19 &  89.635257 &  70.635257 & same      & 0 & 0 &       NA &        NA &  70.635257 & 70.635257\\\\\n",
       "\t 9 & Sauer Center  & 2 & Tobler Museum & Golledge Hall & 2 &  57 &  51.856162 &   5.143838 & same      & 0 & 0 &       NA &        NA &   5.143838 &  5.143838\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Harvey House  & 1 &  32 & 147.248191 & 115.248191 & different & 1 & 2 &       NA & 115.24819 & 115.248191 &        NA\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Golledge Hall & 2 &  77 &  67.303531 &   9.696469 & same      & 0 & 0 &       NA &        NA &   9.696469 &  9.696469\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Lynch Station & 1 &  38 & 156.235563 & 118.235563 & different & 1 & 2 &       NA & 118.23556 & 118.235563 &        NA\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Snow Church   & 2 &  99 &  38.782798 &  60.217202 & same      & 0 & 0 &       NA &        NA &  60.217202 & 60.217202\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Batty House   & 1 &  22 & 171.008665 & 149.008665 & different & 1 & 2 &       NA & 149.00867 & 149.008665 &        NA\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Sauer Center  & 2 &  27 &  20.699814 &   6.300186 & same      & 0 & 0 &       NA &        NA &   6.300186 &  6.300186\\\\\n",
       "\t 9 & Tobler Museum & 2 & Sauer Center  & Harris Hall   & 1 &   4 & 173.285264 & 169.285264 & different & 1 & 2 &       NA & 169.28526 & 169.285264 &        NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 3613 × 16\n",
       "\n",
       "| participant &lt;int&gt; | start_landmark &lt;chr&gt; | start_by_route &lt;int&gt; | facing_landmark &lt;chr&gt; | target_landmark &lt;chr&gt; | target_by_route &lt;int&gt; | bearing &lt;int&gt; | actual_direction &lt;dbl&gt; | abs_error &lt;dbl&gt; | same_or_different &lt;chr&gt; | seenunseen &lt;int&gt; | trial_type &lt;int&gt; | error_start_RouteA &lt;dbl&gt; | error_target_RouteA &lt;dbl&gt; | error_start_RouteB &lt;dbl&gt; | error_target_RouteB &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | Batty House   | 1 | Lynch Station | Harvey House  | 1 | 65 |  93.194238 |  28.194238 | same      | 1 | 1 |  28.194238 |  28.194238 |       NA |        NA |\n",
       "| 1 | Batty House   | 1 | Lynch Station | Harris Hall   | 1 | 25 |  37.528637 |  12.528637 | same      | 0 | 0 |  12.528637 |  12.528637 |       NA |        NA |\n",
       "| 1 | Batty House   | 1 | Lynch Station | Tobler Museum | 2 | 16 |  37.308022 |  21.308022 | different | 1 | 2 |  21.308022 |         NA |       NA | 21.308022 |\n",
       "| 1 | Batty House   | 1 | Lynch Station | Snow Church   | 2 |  7 |  48.199476 |  41.199476 | different | 1 | 2 |  41.199476 |         NA |       NA | 41.199476 |\n",
       "| 1 | Batty House   | 1 | Lynch Station | Sauer Center  | 2 | 14 |  30.331695 |  16.331695 | different | 1 | 2 |  16.331695 |         NA |       NA | 16.331695 |\n",
       "| 1 | Batty House   | 1 | Lynch Station | Golledge Hall | 2 | 25 |  51.767682 |  26.767682 | different | 1 | 2 |  26.767682 |         NA |       NA | 26.767682 |\n",
       "| 1 | Batty House   | 1 | Lynch Station | Lynch Station | 1 | 38 |  47.327984 |   9.327984 | same      | 0 | 0 |   9.327984 |   9.327984 |       NA |        NA |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Harris Hall   | 1 |  2 |   7.021705 |   5.021705 | same      | 0 | 0 |   5.021705 |   5.021705 |       NA |        NA |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Golledge Hall | 2 | 23 |   3.323864 |  19.676136 | different | 1 | 2 |  19.676136 |         NA |       NA | 19.676136 |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Batty House   | 1 |  8 | 130.654246 | 122.654246 | same      | 0 | 0 | 122.654246 | 122.654246 |       NA |        NA |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Tobler Museum | 2 | 41 |  17.950764 |  23.049236 | different | 1 | 2 |  23.049236 |         NA |       NA | 23.049236 |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Harvey House  | 1 | 28 |  48.195938 |  20.195938 | same      | 1 | 1 |  20.195938 |  20.195938 |       NA |        NA |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Snow Church   | 2 | 11 |   8.968175 |   2.031825 | different | 1 | 2 |   2.031825 |         NA |       NA |  2.031825 |\n",
       "| 1 | Lynch Station | 1 | Harris Hall   | Sauer Center  | 2 | 35 |  29.209033 |   5.790967 | different | 1 | 2 |   5.790967 |         NA |       NA |  5.790967 |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Tobler Museum | 2 | 89 |  99.959846 |  10.959846 | different | 1 | 2 |  10.959846 |         NA |       NA | 10.959846 |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Golledge Hall | 2 | 82 |  77.710822 |   4.289178 | different | 1 | 2 |   4.289178 |         NA |       NA |  4.289178 |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Snow Church   | 2 | 76 |  84.728112 |   8.728112 | different | 1 | 2 |   8.728112 |         NA |       NA |  8.728112 |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Lynch Station | 1 | 92 | 114.562794 |  22.562794 | same      | 0 | 0 |  22.562794 |  22.562794 |       NA |        NA |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Sauer Center  | 2 | 76 | 110.657434 |  34.657434 | different | 1 | 2 |  34.657434 |         NA |       NA | 34.657434 |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Batty House   | 1 | 66 |  83.352166 |  17.352166 | same      | 1 | 1 |  17.352166 |  17.352166 |       NA |        NA |\n",
       "| 1 | Harris Hall   | 1 | Harvey House  | Harvey House  | 1 | 28 |   2.146797 |  25.853203 | same      | 1 | 1 |  25.853203 |  25.853203 |       NA |        NA |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Lynch Station | 1 | 41 |  32.282464 |   8.717536 | same      | 1 | 1 |   8.717536 |   8.717536 |       NA |        NA |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Tobler Museum | 2 | 61 |  42.146159 |  18.853841 | different | 1 | 2 |  18.853841 |         NA |       NA | 18.853841 |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Snow Church   | 2 | 69 |  66.191402 |   2.808598 | different | 1 | 2 |   2.808598 |         NA |       NA |  2.808598 |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Harris Hall   | 1 | 11 |   4.196895 |   6.803105 | same      | 1 | 1 |   6.803105 |   6.803105 |       NA |        NA |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Golledge Hall | 2 | 67 |  64.953025 |   2.046975 | different | 1 | 2 |   2.046975 |         NA |       NA |  2.046975 |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Batty House   | 1 | 76 |  46.546899 |  29.453101 | same      | 1 | 1 |  29.453101 |  29.453101 |       NA |        NA |\n",
       "| 1 | Harvey House  | 1 | Harris Hall   | Sauer Center  | 2 | 53 |  46.292054 |   6.707946 | different | 1 | 2 |   6.707946 |         NA |       NA |  6.707946 |\n",
       "| 1 | Golledge Hall | 2 | Snow Church   | Lynch Station | 1 | 60 | 173.968314 | 113.968314 | different | 1 | 2 |         NA | 113.968314 | 113.9683 |        NA |\n",
       "| 1 | Golledge Hall | 2 | Snow Church   | Batty House   | 1 | 55 | 173.569462 | 118.569462 | different | 1 | 2 |         NA | 118.569462 | 118.5695 |        NA |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| 9 | Harvey House  | 1 | Harris Hall   | Sauer Center  | 2 |  49 |  46.292054 |   2.707946 | different | 1 | 2 | 2.707946 |        NA |         NA |  2.707946 |\n",
       "| 9 | Harvey House  | 1 | Harris Hall   | Golledge Hall | 2 |  73 |  64.953025 |   8.046975 | different | 1 | 2 | 8.046975 |        NA |         NA |  8.046975 |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Batty House   | 1 | 156 | 173.569462 |  17.569462 | different | 1 | 2 |       NA |  17.56946 |  17.569462 |        NA |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Harvey House  | 1 | 156 | 139.930937 |  16.069063 | different | 1 | 2 |       NA |  16.06906 |  16.069063 |        NA |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Harris Hall   | 1 | 154 | 176.202281 |  22.202281 | different | 1 | 2 |       NA |  22.20228 |  22.202281 |        NA |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Lynch Station | 1 | 155 | 173.968314 |  18.968314 | different | 1 | 2 |       NA |  18.96831 |  18.968314 |        NA |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Sauer Center  | 2 |  79 |  76.210883 |   2.789117 | same      | 0 | 0 |       NA |        NA |   2.789117 |  2.789117 |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Tobler Museum | 2 | 132 | 147.028447 |  15.028447 | same      | 0 | 0 |       NA |        NA |  15.028447 | 15.028447 |\n",
       "| 9 | Golledge Hall | 2 | Snow Church   | Snow Church   | 2 |   2 |   1.204134 |   0.795866 | same      | 0 | 0 |       NA |        NA |   0.795866 |  0.795866 |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Harris Hall   | 1 |  70 |  88.093462 |  18.093462 | different | 1 | 2 |       NA |  18.09346 |  18.093462 |        NA |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Lynch Station | 1 |  63 |  79.448519 |  16.448519 | different | 1 | 2 |       NA |  16.44852 |  16.448519 |        NA |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Batty House   | 1 |  58 |  90.647009 |  32.647009 | different | 1 | 2 |       NA |  32.64701 |  32.647009 |        NA |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Harvey House  | 1 | 101 | 119.692958 |  18.692958 | different | 1 | 2 |       NA |  18.69296 |  18.692958 |        NA |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Sauer Center  | 2 |   0 |   0.279262 |   0.279262 | same      | 0 | 0 |       NA |        NA |   0.279262 |  0.279262 |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Tobler Museum | 2 |  61 |  63.692776 |   2.692776 | same      | 0 | 0 |       NA |        NA |   2.692776 |  2.692776 |\n",
       "| 9 | Snow Church   | 2 | Sauer Center  | Golledge Hall | 2 | 114 | 125.843115 |  11.843115 | same      | 0 | 0 |       NA |        NA |  11.843115 | 11.843115 |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Batty House   | 1 | 104 |   6.744509 |  97.255491 | different | 1 | 2 |       NA |  97.25549 |  97.255491 |        NA |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Harris Hall   | 1 | 100 |   4.240041 |  95.759959 | different | 1 | 2 |       NA |  95.75996 |  95.759959 |        NA |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Lynch Station | 1 |  98 |  17.762055 |  80.237945 | different | 1 | 2 |       NA |  80.23794 |  80.237945 |        NA |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Tobler Museum | 2 |   6 |   2.713388 |   3.286612 | same      | 0 | 0 |       NA |        NA |   3.286612 |  3.286612 |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Harvey House  | 1 | 142 |  23.091344 | 118.908656 | different | 1 | 2 |       NA | 118.90866 | 118.908656 |        NA |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Snow Church   | 2 |  19 |  89.635257 |  70.635257 | same      | 0 | 0 |       NA |        NA |  70.635257 | 70.635257 |\n",
       "| 9 | Sauer Center  | 2 | Tobler Museum | Golledge Hall | 2 |  57 |  51.856162 |   5.143838 | same      | 0 | 0 |       NA |        NA |   5.143838 |  5.143838 |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Harvey House  | 1 |  32 | 147.248191 | 115.248191 | different | 1 | 2 |       NA | 115.24819 | 115.248191 |        NA |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Golledge Hall | 2 |  77 |  67.303531 |   9.696469 | same      | 0 | 0 |       NA |        NA |   9.696469 |  9.696469 |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Lynch Station | 1 |  38 | 156.235563 | 118.235563 | different | 1 | 2 |       NA | 118.23556 | 118.235563 |        NA |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Snow Church   | 2 |  99 |  38.782798 |  60.217202 | same      | 0 | 0 |       NA |        NA |  60.217202 | 60.217202 |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Batty House   | 1 |  22 | 171.008665 | 149.008665 | different | 1 | 2 |       NA | 149.00867 | 149.008665 |        NA |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Sauer Center  | 2 |  27 |  20.699814 |   6.300186 | same      | 0 | 0 |       NA |        NA |   6.300186 |  6.300186 |\n",
       "| 9 | Tobler Museum | 2 | Sauer Center  | Harris Hall   | 1 |   4 | 173.285264 | 169.285264 | different | 1 | 2 |       NA | 169.28526 | 169.285264 |        NA |\n",
       "\n"
      ],
      "text/plain": [
       "     participant start_landmark start_by_route facing_landmark target_landmark\n",
       "1    1           Batty House    1              Lynch Station   Harvey House   \n",
       "2    1           Batty House    1              Lynch Station   Harris Hall    \n",
       "3    1           Batty House    1              Lynch Station   Tobler Museum  \n",
       "4    1           Batty House    1              Lynch Station   Snow Church    \n",
       "5    1           Batty House    1              Lynch Station   Sauer Center   \n",
       "6    1           Batty House    1              Lynch Station   Golledge Hall  \n",
       "7    1           Batty House    1              Lynch Station   Lynch Station  \n",
       "8    1           Lynch Station  1              Harris Hall     Harris Hall    \n",
       "9    1           Lynch Station  1              Harris Hall     Golledge Hall  \n",
       "10   1           Lynch Station  1              Harris Hall     Batty House    \n",
       "11   1           Lynch Station  1              Harris Hall     Tobler Museum  \n",
       "12   1           Lynch Station  1              Harris Hall     Harvey House   \n",
       "13   1           Lynch Station  1              Harris Hall     Snow Church    \n",
       "14   1           Lynch Station  1              Harris Hall     Sauer Center   \n",
       "15   1           Harris Hall    1              Harvey House    Tobler Museum  \n",
       "16   1           Harris Hall    1              Harvey House    Golledge Hall  \n",
       "17   1           Harris Hall    1              Harvey House    Snow Church    \n",
       "18   1           Harris Hall    1              Harvey House    Lynch Station  \n",
       "19   1           Harris Hall    1              Harvey House    Sauer Center   \n",
       "20   1           Harris Hall    1              Harvey House    Batty House    \n",
       "21   1           Harris Hall    1              Harvey House    Harvey House   \n",
       "22   1           Harvey House   1              Harris Hall     Lynch Station  \n",
       "23   1           Harvey House   1              Harris Hall     Tobler Museum  \n",
       "24   1           Harvey House   1              Harris Hall     Snow Church    \n",
       "25   1           Harvey House   1              Harris Hall     Harris Hall    \n",
       "26   1           Harvey House   1              Harris Hall     Golledge Hall  \n",
       "27   1           Harvey House   1              Harris Hall     Batty House    \n",
       "28   1           Harvey House   1              Harris Hall     Sauer Center   \n",
       "29   1           Golledge Hall  2              Snow Church     Lynch Station  \n",
       "30   1           Golledge Hall  2              Snow Church     Batty House    \n",
       "⋮    ⋮           ⋮              ⋮              ⋮               ⋮              \n",
       "3584 9           Harvey House   1              Harris Hall     Sauer Center   \n",
       "3585 9           Harvey House   1              Harris Hall     Golledge Hall  \n",
       "3586 9           Golledge Hall  2              Snow Church     Batty House    \n",
       "3587 9           Golledge Hall  2              Snow Church     Harvey House   \n",
       "3588 9           Golledge Hall  2              Snow Church     Harris Hall    \n",
       "3589 9           Golledge Hall  2              Snow Church     Lynch Station  \n",
       "3590 9           Golledge Hall  2              Snow Church     Sauer Center   \n",
       "3591 9           Golledge Hall  2              Snow Church     Tobler Museum  \n",
       "3592 9           Golledge Hall  2              Snow Church     Snow Church    \n",
       "3593 9           Snow Church    2              Sauer Center    Harris Hall    \n",
       "3594 9           Snow Church    2              Sauer Center    Lynch Station  \n",
       "3595 9           Snow Church    2              Sauer Center    Batty House    \n",
       "3596 9           Snow Church    2              Sauer Center    Harvey House   \n",
       "3597 9           Snow Church    2              Sauer Center    Sauer Center   \n",
       "3598 9           Snow Church    2              Sauer Center    Tobler Museum  \n",
       "3599 9           Snow Church    2              Sauer Center    Golledge Hall  \n",
       "3600 9           Sauer Center   2              Tobler Museum   Batty House    \n",
       "3601 9           Sauer Center   2              Tobler Museum   Harris Hall    \n",
       "3602 9           Sauer Center   2              Tobler Museum   Lynch Station  \n",
       "3603 9           Sauer Center   2              Tobler Museum   Tobler Museum  \n",
       "3604 9           Sauer Center   2              Tobler Museum   Harvey House   \n",
       "3605 9           Sauer Center   2              Tobler Museum   Snow Church    \n",
       "3606 9           Sauer Center   2              Tobler Museum   Golledge Hall  \n",
       "3607 9           Tobler Museum  2              Sauer Center    Harvey House   \n",
       "3608 9           Tobler Museum  2              Sauer Center    Golledge Hall  \n",
       "3609 9           Tobler Museum  2              Sauer Center    Lynch Station  \n",
       "3610 9           Tobler Museum  2              Sauer Center    Snow Church    \n",
       "3611 9           Tobler Museum  2              Sauer Center    Batty House    \n",
       "3612 9           Tobler Museum  2              Sauer Center    Sauer Center   \n",
       "3613 9           Tobler Museum  2              Sauer Center    Harris Hall    \n",
       "     target_by_route bearing actual_direction abs_error  same_or_different\n",
       "1    1               65       93.194238        28.194238 same             \n",
       "2    1               25       37.528637        12.528637 same             \n",
       "3    2               16       37.308022        21.308022 different        \n",
       "4    2                7       48.199476        41.199476 different        \n",
       "5    2               14       30.331695        16.331695 different        \n",
       "6    2               25       51.767682        26.767682 different        \n",
       "7    1               38       47.327984         9.327984 same             \n",
       "8    1                2        7.021705         5.021705 same             \n",
       "9    2               23        3.323864        19.676136 different        \n",
       "10   1                8      130.654246       122.654246 same             \n",
       "11   2               41       17.950764        23.049236 different        \n",
       "12   1               28       48.195938        20.195938 same             \n",
       "13   2               11        8.968175         2.031825 different        \n",
       "14   2               35       29.209033         5.790967 different        \n",
       "15   2               89       99.959846        10.959846 different        \n",
       "16   2               82       77.710822         4.289178 different        \n",
       "17   2               76       84.728112         8.728112 different        \n",
       "18   1               92      114.562794        22.562794 same             \n",
       "19   2               76      110.657434        34.657434 different        \n",
       "20   1               66       83.352166        17.352166 same             \n",
       "21   1               28        2.146797        25.853203 same             \n",
       "22   1               41       32.282464         8.717536 same             \n",
       "23   2               61       42.146159        18.853841 different        \n",
       "24   2               69       66.191402         2.808598 different        \n",
       "25   1               11        4.196895         6.803105 same             \n",
       "26   2               67       64.953025         2.046975 different        \n",
       "27   1               76       46.546899        29.453101 same             \n",
       "28   2               53       46.292054         6.707946 different        \n",
       "29   1               60      173.968314       113.968314 different        \n",
       "30   1               55      173.569462       118.569462 different        \n",
       "⋮    ⋮               ⋮       ⋮                ⋮          ⋮                \n",
       "3584 2                49      46.292054         2.707946 different        \n",
       "3585 2                73      64.953025         8.046975 different        \n",
       "3586 1               156     173.569462        17.569462 different        \n",
       "3587 1               156     139.930937        16.069063 different        \n",
       "3588 1               154     176.202281        22.202281 different        \n",
       "3589 1               155     173.968314        18.968314 different        \n",
       "3590 2                79      76.210883         2.789117 same             \n",
       "3591 2               132     147.028447        15.028447 same             \n",
       "3592 2                 2       1.204134         0.795866 same             \n",
       "3593 1                70      88.093462        18.093462 different        \n",
       "3594 1                63      79.448519        16.448519 different        \n",
       "3595 1                58      90.647009        32.647009 different        \n",
       "3596 1               101     119.692958        18.692958 different        \n",
       "3597 2                 0       0.279262         0.279262 same             \n",
       "3598 2                61      63.692776         2.692776 same             \n",
       "3599 2               114     125.843115        11.843115 same             \n",
       "3600 1               104       6.744509        97.255491 different        \n",
       "3601 1               100       4.240041        95.759959 different        \n",
       "3602 1                98      17.762055        80.237945 different        \n",
       "3603 2                 6       2.713388         3.286612 same             \n",
       "3604 1               142      23.091344       118.908656 different        \n",
       "3605 2                19      89.635257        70.635257 same             \n",
       "3606 2                57      51.856162         5.143838 same             \n",
       "3607 1                32     147.248191       115.248191 different        \n",
       "3608 2                77      67.303531         9.696469 same             \n",
       "3609 1                38     156.235563       118.235563 different        \n",
       "3610 2                99      38.782798        60.217202 same             \n",
       "3611 1                22     171.008665       149.008665 different        \n",
       "3612 2                27      20.699814         6.300186 same             \n",
       "3613 1                 4     173.285264       169.285264 different        \n",
       "     seenunseen trial_type error_start_RouteA error_target_RouteA\n",
       "1    1          1           28.194238          28.194238         \n",
       "2    0          0           12.528637          12.528637         \n",
       "3    1          2           21.308022                 NA         \n",
       "4    1          2           41.199476                 NA         \n",
       "5    1          2           16.331695                 NA         \n",
       "6    1          2           26.767682                 NA         \n",
       "7    0          0            9.327984           9.327984         \n",
       "8    0          0            5.021705           5.021705         \n",
       "9    1          2           19.676136                 NA         \n",
       "10   0          0          122.654246         122.654246         \n",
       "11   1          2           23.049236                 NA         \n",
       "12   1          1           20.195938          20.195938         \n",
       "13   1          2            2.031825                 NA         \n",
       "14   1          2            5.790967                 NA         \n",
       "15   1          2           10.959846                 NA         \n",
       "16   1          2            4.289178                 NA         \n",
       "17   1          2            8.728112                 NA         \n",
       "18   0          0           22.562794          22.562794         \n",
       "19   1          2           34.657434                 NA         \n",
       "20   1          1           17.352166          17.352166         \n",
       "21   1          1           25.853203          25.853203         \n",
       "22   1          1            8.717536           8.717536         \n",
       "23   1          2           18.853841                 NA         \n",
       "24   1          2            2.808598                 NA         \n",
       "25   1          1            6.803105           6.803105         \n",
       "26   1          2            2.046975                 NA         \n",
       "27   1          1           29.453101          29.453101         \n",
       "28   1          2            6.707946                 NA         \n",
       "29   1          2                  NA         113.968314         \n",
       "30   1          2                  NA         118.569462         \n",
       "⋮    ⋮          ⋮          ⋮                  ⋮                  \n",
       "3584 1          2          2.707946                  NA          \n",
       "3585 1          2          8.046975                  NA          \n",
       "3586 1          2                NA            17.56946          \n",
       "3587 1          2                NA            16.06906          \n",
       "3588 1          2                NA            22.20228          \n",
       "3589 1          2                NA            18.96831          \n",
       "3590 0          0                NA                  NA          \n",
       "3591 0          0                NA                  NA          \n",
       "3592 0          0                NA                  NA          \n",
       "3593 1          2                NA            18.09346          \n",
       "3594 1          2                NA            16.44852          \n",
       "3595 1          2                NA            32.64701          \n",
       "3596 1          2                NA            18.69296          \n",
       "3597 0          0                NA                  NA          \n",
       "3598 0          0                NA                  NA          \n",
       "3599 0          0                NA                  NA          \n",
       "3600 1          2                NA            97.25549          \n",
       "3601 1          2                NA            95.75996          \n",
       "3602 1          2                NA            80.23794          \n",
       "3603 0          0                NA                  NA          \n",
       "3604 1          2                NA           118.90866          \n",
       "3605 0          0                NA                  NA          \n",
       "3606 0          0                NA                  NA          \n",
       "3607 1          2                NA           115.24819          \n",
       "3608 0          0                NA                  NA          \n",
       "3609 1          2                NA           118.23556          \n",
       "3610 0          0                NA                  NA          \n",
       "3611 1          2                NA           149.00867          \n",
       "3612 0          0                NA                  NA          \n",
       "3613 1          2                NA           169.28526          \n",
       "     error_start_RouteB error_target_RouteB\n",
       "1          NA                  NA          \n",
       "2          NA                  NA          \n",
       "3          NA           21.308022          \n",
       "4          NA           41.199476          \n",
       "5          NA           16.331695          \n",
       "6          NA           26.767682          \n",
       "7          NA                  NA          \n",
       "8          NA                  NA          \n",
       "9          NA           19.676136          \n",
       "10         NA                  NA          \n",
       "11         NA           23.049236          \n",
       "12         NA                  NA          \n",
       "13         NA            2.031825          \n",
       "14         NA            5.790967          \n",
       "15         NA           10.959846          \n",
       "16         NA            4.289178          \n",
       "17         NA            8.728112          \n",
       "18         NA                  NA          \n",
       "19         NA           34.657434          \n",
       "20         NA                  NA          \n",
       "21         NA                  NA          \n",
       "22         NA                  NA          \n",
       "23         NA           18.853841          \n",
       "24         NA            2.808598          \n",
       "25         NA                  NA          \n",
       "26         NA            2.046975          \n",
       "27         NA                  NA          \n",
       "28         NA            6.707946          \n",
       "29   113.9683                  NA          \n",
       "30   118.5695                  NA          \n",
       "⋮    ⋮                  ⋮                  \n",
       "3584         NA          2.707946          \n",
       "3585         NA          8.046975          \n",
       "3586  17.569462                NA          \n",
       "3587  16.069063                NA          \n",
       "3588  22.202281                NA          \n",
       "3589  18.968314                NA          \n",
       "3590   2.789117          2.789117          \n",
       "3591  15.028447         15.028447          \n",
       "3592   0.795866          0.795866          \n",
       "3593  18.093462                NA          \n",
       "3594  16.448519                NA          \n",
       "3595  32.647009                NA          \n",
       "3596  18.692958                NA          \n",
       "3597   0.279262          0.279262          \n",
       "3598   2.692776          2.692776          \n",
       "3599  11.843115         11.843115          \n",
       "3600  97.255491                NA          \n",
       "3601  95.759959                NA          \n",
       "3602  80.237945                NA          \n",
       "3603   3.286612          3.286612          \n",
       "3604 118.908656                NA          \n",
       "3605  70.635257         70.635257          \n",
       "3606   5.143838          5.143838          \n",
       "3607 115.248191                NA          \n",
       "3608   9.696469          9.696469          \n",
       "3609 118.235563                NA          \n",
       "3610  60.217202         60.217202          \n",
       "3611 149.008665                NA          \n",
       "3612   6.300186          6.300186          \n",
       "3613 169.285264                NA          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "AllPointingData = read.xls('Masterfile_Pointing_cleaned_noPilot.xlsx', na.strings=c(\"NA\", \"#NULL!\")) \n",
    "#View(AllPointingData)\n",
    "AllPointingData"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c9ec1aac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>3613</li><li>16</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 3613\n",
       "\\item 16\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 3613\n",
       "2. 16\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 3613   16"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(AllPointingData)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d863f8e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "65"
      ],
      "text/latex": [
       "65"
      ],
      "text/markdown": [
       "65"
      ],
      "text/plain": [
       "[1] 65"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "length(unique(AllPointingData$participant)) #65 subs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "019ff490",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 65 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>participant</th><th scope=col>n</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 1</td><td>56</td></tr>\n",
       "\t<tr><td> 2</td><td>56</td></tr>\n",
       "\t<tr><td> 3</td><td>56</td></tr>\n",
       "\t<tr><td> 4</td><td>56</td></tr>\n",
       "\t<tr><td> 5</td><td>56</td></tr>\n",
       "\t<tr><td> 6</td><td>56</td></tr>\n",
       "\t<tr><td> 7</td><td>56</td></tr>\n",
       "\t<tr><td> 8</td><td>56</td></tr>\n",
       "\t<tr><td> 9</td><td>56</td></tr>\n",
       "\t<tr><td>10</td><td>56</td></tr>\n",
       "\t<tr><td>11</td><td>56</td></tr>\n",
       "\t<tr><td>12</td><td>56</td></tr>\n",
       "\t<tr><td>13</td><td>56</td></tr>\n",
       "\t<tr><td>14</td><td>56</td></tr>\n",
       "\t<tr><td>15</td><td>56</td></tr>\n",
       "\t<tr><td>16</td><td>56</td></tr>\n",
       "\t<tr><td>17</td><td>56</td></tr>\n",
       "\t<tr><td>18</td><td>56</td></tr>\n",
       "\t<tr><td>19</td><td>56</td></tr>\n",
       "\t<tr><td>20</td><td>56</td></tr>\n",
       "\t<tr><td>21</td><td>56</td></tr>\n",
       "\t<tr><td>22</td><td>56</td></tr>\n",
       "\t<tr><td>23</td><td>56</td></tr>\n",
       "\t<tr><td>24</td><td>56</td></tr>\n",
       "\t<tr><td>25</td><td>56</td></tr>\n",
       "\t<tr><td>26</td><td>56</td></tr>\n",
       "\t<tr><td>27</td><td>56</td></tr>\n",
       "\t<tr><td>28</td><td>56</td></tr>\n",
       "\t<tr><td>29</td><td>56</td></tr>\n",
       "\t<tr><td>30</td><td>56</td></tr>\n",
       "\t<tr><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><td>36</td><td>56</td></tr>\n",
       "\t<tr><td>37</td><td>56</td></tr>\n",
       "\t<tr><td>38</td><td>56</td></tr>\n",
       "\t<tr><td>39</td><td>56</td></tr>\n",
       "\t<tr><td>40</td><td>56</td></tr>\n",
       "\t<tr><td>41</td><td>56</td></tr>\n",
       "\t<tr><td>42</td><td>56</td></tr>\n",
       "\t<tr><td>43</td><td>56</td></tr>\n",
       "\t<tr><td>44</td><td>56</td></tr>\n",
       "\t<tr><td>45</td><td>56</td></tr>\n",
       "\t<tr><td>46</td><td>56</td></tr>\n",
       "\t<tr><td>47</td><td>56</td></tr>\n",
       "\t<tr><td>48</td><td>56</td></tr>\n",
       "\t<tr><td>49</td><td>56</td></tr>\n",
       "\t<tr><td>50</td><td>56</td></tr>\n",
       "\t<tr><td>51</td><td>56</td></tr>\n",
       "\t<tr><td>52</td><td>55</td></tr>\n",
       "\t<tr><td>53</td><td>55</td></tr>\n",
       "\t<tr><td>54</td><td>55</td></tr>\n",
       "\t<tr><td>55</td><td>54</td></tr>\n",
       "\t<tr><td>56</td><td>51</td></tr>\n",
       "\t<tr><td>57</td><td>56</td></tr>\n",
       "\t<tr><td>58</td><td>54</td></tr>\n",
       "\t<tr><td>59</td><td>55</td></tr>\n",
       "\t<tr><td>60</td><td>54</td></tr>\n",
       "\t<tr><td>61</td><td>55</td></tr>\n",
       "\t<tr><td>62</td><td>53</td></tr>\n",
       "\t<tr><td>63</td><td>54</td></tr>\n",
       "\t<tr><td>64</td><td>51</td></tr>\n",
       "\t<tr><td>65</td><td>55</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 65 × 2\n",
       "\\begin{tabular}{ll}\n",
       " participant & n\\\\\n",
       " <int> & <int>\\\\\n",
       "\\hline\n",
       "\t  1 & 56\\\\\n",
       "\t  2 & 56\\\\\n",
       "\t  3 & 56\\\\\n",
       "\t  4 & 56\\\\\n",
       "\t  5 & 56\\\\\n",
       "\t  6 & 56\\\\\n",
       "\t  7 & 56\\\\\n",
       "\t  8 & 56\\\\\n",
       "\t  9 & 56\\\\\n",
       "\t 10 & 56\\\\\n",
       "\t 11 & 56\\\\\n",
       "\t 12 & 56\\\\\n",
       "\t 13 & 56\\\\\n",
       "\t 14 & 56\\\\\n",
       "\t 15 & 56\\\\\n",
       "\t 16 & 56\\\\\n",
       "\t 17 & 56\\\\\n",
       "\t 18 & 56\\\\\n",
       "\t 19 & 56\\\\\n",
       "\t 20 & 56\\\\\n",
       "\t 21 & 56\\\\\n",
       "\t 22 & 56\\\\\n",
       "\t 23 & 56\\\\\n",
       "\t 24 & 56\\\\\n",
       "\t 25 & 56\\\\\n",
       "\t 26 & 56\\\\\n",
       "\t 27 & 56\\\\\n",
       "\t 28 & 56\\\\\n",
       "\t 29 & 56\\\\\n",
       "\t 30 & 56\\\\\n",
       "\t ⋮ & ⋮\\\\\n",
       "\t 36 & 56\\\\\n",
       "\t 37 & 56\\\\\n",
       "\t 38 & 56\\\\\n",
       "\t 39 & 56\\\\\n",
       "\t 40 & 56\\\\\n",
       "\t 41 & 56\\\\\n",
       "\t 42 & 56\\\\\n",
       "\t 43 & 56\\\\\n",
       "\t 44 & 56\\\\\n",
       "\t 45 & 56\\\\\n",
       "\t 46 & 56\\\\\n",
       "\t 47 & 56\\\\\n",
       "\t 48 & 56\\\\\n",
       "\t 49 & 56\\\\\n",
       "\t 50 & 56\\\\\n",
       "\t 51 & 56\\\\\n",
       "\t 52 & 55\\\\\n",
       "\t 53 & 55\\\\\n",
       "\t 54 & 55\\\\\n",
       "\t 55 & 54\\\\\n",
       "\t 56 & 51\\\\\n",
       "\t 57 & 56\\\\\n",
       "\t 58 & 54\\\\\n",
       "\t 59 & 55\\\\\n",
       "\t 60 & 54\\\\\n",
       "\t 61 & 55\\\\\n",
       "\t 62 & 53\\\\\n",
       "\t 63 & 54\\\\\n",
       "\t 64 & 51\\\\\n",
       "\t 65 & 55\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 65 × 2\n",
       "\n",
       "| participant &lt;int&gt; | n &lt;int&gt; |\n",
       "|---|---|\n",
       "|  1 | 56 |\n",
       "|  2 | 56 |\n",
       "|  3 | 56 |\n",
       "|  4 | 56 |\n",
       "|  5 | 56 |\n",
       "|  6 | 56 |\n",
       "|  7 | 56 |\n",
       "|  8 | 56 |\n",
       "|  9 | 56 |\n",
       "| 10 | 56 |\n",
       "| 11 | 56 |\n",
       "| 12 | 56 |\n",
       "| 13 | 56 |\n",
       "| 14 | 56 |\n",
       "| 15 | 56 |\n",
       "| 16 | 56 |\n",
       "| 17 | 56 |\n",
       "| 18 | 56 |\n",
       "| 19 | 56 |\n",
       "| 20 | 56 |\n",
       "| 21 | 56 |\n",
       "| 22 | 56 |\n",
       "| 23 | 56 |\n",
       "| 24 | 56 |\n",
       "| 25 | 56 |\n",
       "| 26 | 56 |\n",
       "| 27 | 56 |\n",
       "| 28 | 56 |\n",
       "| 29 | 56 |\n",
       "| 30 | 56 |\n",
       "| ⋮ | ⋮ |\n",
       "| 36 | 56 |\n",
       "| 37 | 56 |\n",
       "| 38 | 56 |\n",
       "| 39 | 56 |\n",
       "| 40 | 56 |\n",
       "| 41 | 56 |\n",
       "| 42 | 56 |\n",
       "| 43 | 56 |\n",
       "| 44 | 56 |\n",
       "| 45 | 56 |\n",
       "| 46 | 56 |\n",
       "| 47 | 56 |\n",
       "| 48 | 56 |\n",
       "| 49 | 56 |\n",
       "| 50 | 56 |\n",
       "| 51 | 56 |\n",
       "| 52 | 55 |\n",
       "| 53 | 55 |\n",
       "| 54 | 55 |\n",
       "| 55 | 54 |\n",
       "| 56 | 51 |\n",
       "| 57 | 56 |\n",
       "| 58 | 54 |\n",
       "| 59 | 55 |\n",
       "| 60 | 54 |\n",
       "| 61 | 55 |\n",
       "| 62 | 53 |\n",
       "| 63 | 54 |\n",
       "| 64 | 51 |\n",
       "| 65 | 55 |\n",
       "\n"
      ],
      "text/plain": [
       "   participant n \n",
       "1   1          56\n",
       "2   2          56\n",
       "3   3          56\n",
       "4   4          56\n",
       "5   5          56\n",
       "6   6          56\n",
       "7   7          56\n",
       "8   8          56\n",
       "9   9          56\n",
       "10 10          56\n",
       "11 11          56\n",
       "12 12          56\n",
       "13 13          56\n",
       "14 14          56\n",
       "15 15          56\n",
       "16 16          56\n",
       "17 17          56\n",
       "18 18          56\n",
       "19 19          56\n",
       "20 20          56\n",
       "21 21          56\n",
       "22 22          56\n",
       "23 23          56\n",
       "24 24          56\n",
       "25 25          56\n",
       "26 26          56\n",
       "27 27          56\n",
       "28 28          56\n",
       "29 29          56\n",
       "30 30          56\n",
       "⋮  ⋮           ⋮ \n",
       "36 36          56\n",
       "37 37          56\n",
       "38 38          56\n",
       "39 39          56\n",
       "40 40          56\n",
       "41 41          56\n",
       "42 42          56\n",
       "43 43          56\n",
       "44 44          56\n",
       "45 45          56\n",
       "46 46          56\n",
       "47 47          56\n",
       "48 48          56\n",
       "49 49          56\n",
       "50 50          56\n",
       "51 51          56\n",
       "52 52          55\n",
       "53 53          55\n",
       "54 54          55\n",
       "55 55          54\n",
       "56 56          51\n",
       "57 57          56\n",
       "58 58          54\n",
       "59 59          55\n",
       "60 60          54\n",
       "61 61          55\n",
       "62 62          53\n",
       "63 63          54\n",
       "64 64          51\n",
       "65 65          55"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###############################\n",
    "#### Data processing #########\n",
    "##############################\n",
    "\n",
    "# In earlier submissions, for the pointing task, we do an ANOVA \n",
    "# with trial type (same vs. different route) as a within-participants factor, \n",
    "# and gender and route order as between-participants factors\n",
    "\n",
    "# We want to construct the equivalent LMEMs with these factors\n",
    "# But to do that that we need to bring over the gender and route order factors from some other file\n",
    "# This information seems to be included in AllData_bysubs\n",
    "\n",
    "# But first we need to figure out how many observations there are per participant\n",
    "# There seem to be 56 trials per partcipant, with some trials missing\n",
    "\n",
    "# Let's create a dataframe that shows the number of observations by participant\n",
    "ParticipantTrials <- count(AllPointingData, participant)\n",
    "#View(ParticipantTrials)\n",
    "ParticipantTrials"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "04807b63",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's hold onto that column\n",
    "\n",
    "# ParticipantTrials  <- ParticipantTrials[,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b11d34d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 48</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Subject</th><th scope=col>sex</th><th scope=col>age</th><th scope=col>SBSOD_average</th><th scope=col>SBSOD_CY_average</th><th scope=col>Route_Order</th><th scope=col>RouteOrder_4</th><th scope=col>r2_Overall</th><th scope=col>r2_RouteA</th><th scope=col>r2_RouteB</th><th scope=col>⋯</th><th scope=col>error_start_routeA_SAME</th><th scope=col>error_start_routeB_SAME</th><th scope=col>error_target_routeA_SAME</th><th scope=col>error_target_routeB_SAME</th><th scope=col>error_start_RouteA_Different</th><th scope=col>error_target_RouteA_Different</th><th scope=col>error_start_RouteB_Different</th><th scope=col>error_target_RouteB_Different</th><th scope=col>low_SBSOD</th><th scope=col>high_SBSOD</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>⋯</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td> 1</td><td>1</td><td>21</td><td>3.000000</td><td>2.5</td><td>1</td><td>1</td><td>0.945822</td><td>0.826816</td><td>0.956720</td><td>⋯</td><td>25.72205</td><td> 6.191736</td><td>25.72205</td><td> 6.191736</td><td>19.78113</td><td>28.67941</td><td>20.30927</td><td>11.41099</td><td>1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>2</th><td> 5</td><td>1</td><td>22</td><td>4.066667</td><td>4.2</td><td>1</td><td>1</td><td>0.505958</td><td>0.418005</td><td>0.956754</td><td>⋯</td><td>25.85940</td><td>13.154199</td><td>25.85940</td><td>13.154199</td><td>27.21885</td><td>49.21212</td><td>43.76703</td><td>21.77377</td><td>1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>3</th><td> 8</td><td>1</td><td>21</td><td>3.533333</td><td>4.4</td><td>2</td><td>4</td><td>0.941772</td><td>0.597372</td><td>0.390829</td><td>⋯</td><td>45.90709</td><td>14.594749</td><td>45.90709</td><td>14.594749</td><td>44.21325</td><td>63.79064</td><td>50.37107</td><td>30.79368</td><td>1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>4</th><td> 9</td><td>1</td><td>31</td><td>4.733333</td><td>4.5</td><td>1</td><td>1</td><td>0.169934</td><td>0.431045</td><td>0.250685</td><td>⋯</td><td>38.37047</td><td>15.725679</td><td>38.37047</td><td>15.725679</td><td>37.61004</td><td>55.89559</td><td>46.19068</td><td>27.90513</td><td>1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>10</td><td>1</td><td>19</td><td>3.933333</td><td>4.1</td><td>1</td><td>2</td><td>0.170237</td><td>0.662662</td><td>0.104487</td><td>⋯</td><td>44.82641</td><td>32.505434</td><td>44.82641</td><td>32.505434</td><td>46.35503</td><td>62.59099</td><td>57.31057</td><td>41.07461</td><td>1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>11</td><td>1</td><td>22</td><td>3.400000</td><td>3.7</td><td>2</td><td>3</td><td>0.670268</td><td>0.265635</td><td>0.248272</td><td>⋯</td><td>35.64581</td><td>42.896540</td><td>35.64581</td><td>42.896540</td><td>39.89112</td><td>50.86219</td><td>53.96964</td><td>42.99858</td><td>1</td><td>NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 48\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & Subject & sex & age & SBSOD\\_average & SBSOD\\_CY\\_average & Route\\_Order & RouteOrder\\_4 & r2\\_Overall & r2\\_RouteA & r2\\_RouteB & ⋯ & error\\_start\\_routeA\\_SAME & error\\_start\\_routeB\\_SAME & error\\_target\\_routeA\\_SAME & error\\_target\\_routeB\\_SAME & error\\_start\\_RouteA\\_Different & error\\_target\\_RouteA\\_Different & error\\_start\\_RouteB\\_Different & error\\_target\\_RouteB\\_Different & low\\_SBSOD & high\\_SBSOD\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <dbl> & <int> & <int> & <dbl> & <dbl> & <dbl> & ⋯ & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t1 &  1 & 1 & 21 & 3.000000 & 2.5 & 1 & 1 & 0.945822 & 0.826816 & 0.956720 & ⋯ & 25.72205 &  6.191736 & 25.72205 &  6.191736 & 19.78113 & 28.67941 & 20.30927 & 11.41099 & 1 & NA\\\\\n",
       "\t2 &  5 & 1 & 22 & 4.066667 & 4.2 & 1 & 1 & 0.505958 & 0.418005 & 0.956754 & ⋯ & 25.85940 & 13.154199 & 25.85940 & 13.154199 & 27.21885 & 49.21212 & 43.76703 & 21.77377 & 1 & NA\\\\\n",
       "\t3 &  8 & 1 & 21 & 3.533333 & 4.4 & 2 & 4 & 0.941772 & 0.597372 & 0.390829 & ⋯ & 45.90709 & 14.594749 & 45.90709 & 14.594749 & 44.21325 & 63.79064 & 50.37107 & 30.79368 & 1 & NA\\\\\n",
       "\t4 &  9 & 1 & 31 & 4.733333 & 4.5 & 1 & 1 & 0.169934 & 0.431045 & 0.250685 & ⋯ & 38.37047 & 15.725679 & 38.37047 & 15.725679 & 37.61004 & 55.89559 & 46.19068 & 27.90513 & 1 & NA\\\\\n",
       "\t5 & 10 & 1 & 19 & 3.933333 & 4.1 & 1 & 2 & 0.170237 & 0.662662 & 0.104487 & ⋯ & 44.82641 & 32.505434 & 44.82641 & 32.505434 & 46.35503 & 62.59099 & 57.31057 & 41.07461 & 1 & NA\\\\\n",
       "\t6 & 11 & 1 & 22 & 3.400000 & 3.7 & 2 & 3 & 0.670268 & 0.265635 & 0.248272 & ⋯ & 35.64581 & 42.896540 & 35.64581 & 42.896540 & 39.89112 & 50.86219 & 53.96964 & 42.99858 & 1 & NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 48\n",
       "\n",
       "| <!--/--> | Subject &lt;int&gt; | sex &lt;int&gt; | age &lt;int&gt; | SBSOD_average &lt;dbl&gt; | SBSOD_CY_average &lt;dbl&gt; | Route_Order &lt;int&gt; | RouteOrder_4 &lt;int&gt; | r2_Overall &lt;dbl&gt; | r2_RouteA &lt;dbl&gt; | r2_RouteB &lt;dbl&gt; | ⋯ ⋯ | error_start_routeA_SAME &lt;dbl&gt; | error_start_routeB_SAME &lt;dbl&gt; | error_target_routeA_SAME &lt;dbl&gt; | error_target_routeB_SAME &lt;dbl&gt; | error_start_RouteA_Different &lt;dbl&gt; | error_target_RouteA_Different &lt;dbl&gt; | error_start_RouteB_Different &lt;dbl&gt; | error_target_RouteB_Different &lt;dbl&gt; | low_SBSOD &lt;int&gt; | high_SBSOD &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 |  1 | 1 | 21 | 3.000000 | 2.5 | 1 | 1 | 0.945822 | 0.826816 | 0.956720 | ⋯ | 25.72205 |  6.191736 | 25.72205 |  6.191736 | 19.78113 | 28.67941 | 20.30927 | 11.41099 | 1 | NA |\n",
       "| 2 |  5 | 1 | 22 | 4.066667 | 4.2 | 1 | 1 | 0.505958 | 0.418005 | 0.956754 | ⋯ | 25.85940 | 13.154199 | 25.85940 | 13.154199 | 27.21885 | 49.21212 | 43.76703 | 21.77377 | 1 | NA |\n",
       "| 3 |  8 | 1 | 21 | 3.533333 | 4.4 | 2 | 4 | 0.941772 | 0.597372 | 0.390829 | ⋯ | 45.90709 | 14.594749 | 45.90709 | 14.594749 | 44.21325 | 63.79064 | 50.37107 | 30.79368 | 1 | NA |\n",
       "| 4 |  9 | 1 | 31 | 4.733333 | 4.5 | 1 | 1 | 0.169934 | 0.431045 | 0.250685 | ⋯ | 38.37047 | 15.725679 | 38.37047 | 15.725679 | 37.61004 | 55.89559 | 46.19068 | 27.90513 | 1 | NA |\n",
       "| 5 | 10 | 1 | 19 | 3.933333 | 4.1 | 1 | 2 | 0.170237 | 0.662662 | 0.104487 | ⋯ | 44.82641 | 32.505434 | 44.82641 | 32.505434 | 46.35503 | 62.59099 | 57.31057 | 41.07461 | 1 | NA |\n",
       "| 6 | 11 | 1 | 22 | 3.400000 | 3.7 | 2 | 3 | 0.670268 | 0.265635 | 0.248272 | ⋯ | 35.64581 | 42.896540 | 35.64581 | 42.896540 | 39.89112 | 50.86219 | 53.96964 | 42.99858 | 1 | NA |\n",
       "\n"
      ],
      "text/plain": [
       "  Subject sex age SBSOD_average SBSOD_CY_average Route_Order RouteOrder_4\n",
       "1  1      1   21  3.000000      2.5              1           1           \n",
       "2  5      1   22  4.066667      4.2              1           1           \n",
       "3  8      1   21  3.533333      4.4              2           4           \n",
       "4  9      1   31  4.733333      4.5              1           1           \n",
       "5 10      1   19  3.933333      4.1              1           2           \n",
       "6 11      1   22  3.400000      3.7              2           3           \n",
       "  r2_Overall r2_RouteA r2_RouteB ⋯ error_start_routeA_SAME\n",
       "1 0.945822   0.826816  0.956720  ⋯ 25.72205               \n",
       "2 0.505958   0.418005  0.956754  ⋯ 25.85940               \n",
       "3 0.941772   0.597372  0.390829  ⋯ 45.90709               \n",
       "4 0.169934   0.431045  0.250685  ⋯ 38.37047               \n",
       "5 0.170237   0.662662  0.104487  ⋯ 44.82641               \n",
       "6 0.670268   0.265635  0.248272  ⋯ 35.64581               \n",
       "  error_start_routeB_SAME error_target_routeA_SAME error_target_routeB_SAME\n",
       "1  6.191736               25.72205                  6.191736               \n",
       "2 13.154199               25.85940                 13.154199               \n",
       "3 14.594749               45.90709                 14.594749               \n",
       "4 15.725679               38.37047                 15.725679               \n",
       "5 32.505434               44.82641                 32.505434               \n",
       "6 42.896540               35.64581                 42.896540               \n",
       "  error_start_RouteA_Different error_target_RouteA_Different\n",
       "1 19.78113                     28.67941                     \n",
       "2 27.21885                     49.21212                     \n",
       "3 44.21325                     63.79064                     \n",
       "4 37.61004                     55.89559                     \n",
       "5 46.35503                     62.59099                     \n",
       "6 39.89112                     50.86219                     \n",
       "  error_start_RouteB_Different error_target_RouteB_Different low_SBSOD\n",
       "1 20.30927                     11.41099                      1        \n",
       "2 43.76703                     21.77377                      1        \n",
       "3 50.37107                     30.79368                      1        \n",
       "4 46.19068                     27.90513                      1        \n",
       "5 57.31057                     41.07461                      1        \n",
       "6 53.96964                     42.99858                      1        \n",
       "  high_SBSOD\n",
       "1 NA        \n",
       "2 NA        \n",
       "3 NA        \n",
       "4 NA        \n",
       "5 NA        \n",
       "6 NA        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# OK, now let's grab the relevant demographic and design info from this file\n",
    "# and repeat it according to the number of trials for each participant\n",
    "# and finally combine this data structure with the AllPointingData df\n",
    "BySubsData <- read.xls('AllData_bysubs.xlsx', na.strings=c(\"NA\", \"#NULL!\")) \n",
    "#View(BySubsData)\n",
    "head(BySubsData)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4d721058",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's change \"Subject\" into \"participant\" for consistency\n",
    "names(BySubsData)[1]<-\"participant\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1345df02",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's sort this in ascending order to match ParticipantTrials\n",
    "BySubsData <- BySubsData[order(BySubsData[,1]), ] #sort according to first column (Participant)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "72511f40",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 65 × 7</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>participant</th><th scope=col>sex</th><th scope=col>age</th><th scope=col>SBSOD_average</th><th scope=col>SBSOD_CY_average</th><th scope=col>Route_Order</th><th scope=col>RouteOrder_4</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td> 1</td><td>1</td><td>21</td><td>3.000000</td><td>2.5</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>35</th><td> 2</td><td>2</td><td>23</td><td>5.533333</td><td>5.2</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>36</th><td> 3</td><td>1</td><td>21</td><td>4.533333</td><td>4.6</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>37</th><td> 4</td><td>1</td><td>18</td><td>4.400000</td><td>4.8</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>2</th><td> 5</td><td>1</td><td>22</td><td>4.066667</td><td>4.2</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>38</th><td> 6</td><td>1</td><td>21</td><td>4.533333</td><td>5.3</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>39</th><td> 7</td><td>1</td><td>23</td><td>5.000000</td><td>5.1</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>3</th><td> 8</td><td>1</td><td>21</td><td>3.533333</td><td>4.4</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>4</th><td> 9</td><td>1</td><td>31</td><td>4.733333</td><td>4.5</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>10</td><td>1</td><td>19</td><td>3.933333</td><td>4.1</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>11</td><td>1</td><td>22</td><td>3.400000</td><td>3.7</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>40</th><td>12</td><td>2</td><td>25</td><td>5.000000</td><td>5.1</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>13</td><td>1</td><td>21</td><td>3.400000</td><td>3.7</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>41</th><td>14</td><td>1</td><td>20</td><td>5.000000</td><td>5.1</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>42</th><td>15</td><td>1</td><td>20</td><td>5.400000</td><td>5.4</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>16</td><td>2</td><td>24</td><td>4.266667</td><td>4.2</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>43</th><td>17</td><td>1</td><td>19</td><td>4.733333</td><td>4.6</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>44</th><td>18</td><td>2</td><td>22</td><td>6.066667</td><td>6.4</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>19</td><td>1</td><td>20</td><td>3.733333</td><td>3.5</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>45</th><td>20</td><td>2</td><td>22</td><td>5.066667</td><td>5.1</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>46</th><td>21</td><td>1</td><td>19</td><td>4.466667</td><td>4.8</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>22</td><td>1</td><td>18</td><td>4.533333</td><td>4.4</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>47</th><td>23</td><td>1</td><td>18</td><td>4.200000</td><td>5.0</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>24</td><td>1</td><td>19</td><td>4.200000</td><td>4.3</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>25</td><td>1</td><td>18</td><td>4.533333</td><td>4.4</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>26</td><td>2</td><td>24</td><td>5.400000</td><td>5.5</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>27</td><td>2</td><td>21</td><td>4.200000</td><td>4.4</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>28</td><td>2</td><td>19</td><td>3.333333</td><td>3.2</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>49</th><td>29</td><td>1</td><td>19</td><td>5.000000</td><td>5.1</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>30</td><td>1</td><td>18</td><td>4.133333</td><td>4.4</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>⋮</th><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>36</td><td>1</td><td>23</td><td>4.933333</td><td>5.2</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>51</th><td>37</td><td>2</td><td>21</td><td>5.333333</td><td>5.4</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>38</td><td>1</td><td>24</td><td>2.800000</td><td>2.6</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>52</th><td>39</td><td>1</td><td>19</td><td>5.066667</td><td>5.6</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>53</th><td>40</td><td>2</td><td>20</td><td>4.533333</td><td>4.6</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>41</td><td>1</td><td>18</td><td>3.800000</td><td>3.9</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>42</td><td>1</td><td>19</td><td>1.533333</td><td>1.1</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>54</th><td>43</td><td>2</td><td>23</td><td>5.800000</td><td>5.4</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>44</td><td>1</td><td>19</td><td>3.333333</td><td>3.6</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>45</td><td>1</td><td>18</td><td>3.533333</td><td>3.4</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>26</th><td>46</td><td>1</td><td>18</td><td>3.733333</td><td>3.9</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>55</th><td>47</td><td>1</td><td>21</td><td>4.533333</td><td>4.6</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>56</th><td>48</td><td>1</td><td>21</td><td>6.266667</td><td>6.4</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>49</td><td>1</td><td>18</td><td>4.066667</td><td>3.9</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>50</td><td>1</td><td>22</td><td>3.533333</td><td>4.0</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>57</th><td>51</td><td>1</td><td>32</td><td>5.400000</td><td>5.2</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>58</th><td>52</td><td>1</td><td>25</td><td>4.600000</td><td>4.6</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>59</th><td>53</td><td>1</td><td>25</td><td>4.800000</td><td>4.7</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>54</td><td>2</td><td>25</td><td>3.466667</td><td>3.5</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>60</th><td>55</td><td>1</td><td>22</td><td>4.866667</td><td>4.8</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>61</th><td>56</td><td>2</td><td>23</td><td>5.200000</td><td>5.5</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>30</th><td>57</td><td>2</td><td>28</td><td>3.200000</td><td>4.0</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>62</th><td>58</td><td>2</td><td>21</td><td>5.800000</td><td>5.8</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>59</td><td>1</td><td>23</td><td>4.400000</td><td>4.3</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>63</th><td>60</td><td>2</td><td>22</td><td>4.666667</td><td>5.3</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>61</td><td>1</td><td>22</td><td>4.666667</td><td>4.5</td><td>2</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>33</th><td>62</td><td>1</td><td>21</td><td>4.066667</td><td>3.8</td><td>2</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>64</th><td>63</td><td>1</td><td>22</td><td>5.666667</td><td>5.5</td><td>1</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>64</td><td>1</td><td>29</td><td>4.266667</td><td>4.5</td><td>1</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>65</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 65 × 7\n",
       "\\begin{tabular}{r|lllllll}\n",
       "  & participant & sex & age & SBSOD\\_average & SBSOD\\_CY\\_average & Route\\_Order & RouteOrder\\_4\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <dbl> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t1 &  1 & 1 & 21 & 3.000000 & 2.5 & 1 & 1\\\\\n",
       "\t35 &  2 & 2 & 23 & 5.533333 & 5.2 & 1 & 2\\\\\n",
       "\t36 &  3 & 1 & 21 & 4.533333 & 4.6 & 2 & 3\\\\\n",
       "\t37 &  4 & 1 & 18 & 4.400000 & 4.8 & 2 & 4\\\\\n",
       "\t2 &  5 & 1 & 22 & 4.066667 & 4.2 & 1 & 1\\\\\n",
       "\t38 &  6 & 1 & 21 & 4.533333 & 5.3 & 1 & 2\\\\\n",
       "\t39 &  7 & 1 & 23 & 5.000000 & 5.1 & 2 & 3\\\\\n",
       "\t3 &  8 & 1 & 21 & 3.533333 & 4.4 & 2 & 4\\\\\n",
       "\t4 &  9 & 1 & 31 & 4.733333 & 4.5 & 1 & 1\\\\\n",
       "\t5 & 10 & 1 & 19 & 3.933333 & 4.1 & 1 & 2\\\\\n",
       "\t6 & 11 & 1 & 22 & 3.400000 & 3.7 & 2 & 3\\\\\n",
       "\t40 & 12 & 2 & 25 & 5.000000 & 5.1 & 2 & 4\\\\\n",
       "\t7 & 13 & 1 & 21 & 3.400000 & 3.7 & 1 & 1\\\\\n",
       "\t41 & 14 & 1 & 20 & 5.000000 & 5.1 & 1 & 2\\\\\n",
       "\t42 & 15 & 1 & 20 & 5.400000 & 5.4 & 2 & 3\\\\\n",
       "\t8 & 16 & 2 & 24 & 4.266667 & 4.2 & 2 & 4\\\\\n",
       "\t43 & 17 & 1 & 19 & 4.733333 & 4.6 & 1 & 1\\\\\n",
       "\t44 & 18 & 2 & 22 & 6.066667 & 6.4 & 1 & 2\\\\\n",
       "\t9 & 19 & 1 & 20 & 3.733333 & 3.5 & 2 & 3\\\\\n",
       "\t45 & 20 & 2 & 22 & 5.066667 & 5.1 & 2 & 4\\\\\n",
       "\t46 & 21 & 1 & 19 & 4.466667 & 4.8 & 1 & 1\\\\\n",
       "\t10 & 22 & 1 & 18 & 4.533333 & 4.4 & 1 & 2\\\\\n",
       "\t47 & 23 & 1 & 18 & 4.200000 & 5.0 & 2 & 3\\\\\n",
       "\t11 & 24 & 1 & 19 & 4.200000 & 4.3 & 2 & 4\\\\\n",
       "\t12 & 25 & 1 & 18 & 4.533333 & 4.4 & 1 & 1\\\\\n",
       "\t48 & 26 & 2 & 24 & 5.400000 & 5.5 & 1 & 2\\\\\n",
       "\t13 & 27 & 2 & 21 & 4.200000 & 4.4 & 2 & 3\\\\\n",
       "\t14 & 28 & 2 & 19 & 3.333333 & 3.2 & 2 & 4\\\\\n",
       "\t49 & 29 & 1 & 19 & 5.000000 & 5.1 & 1 & 1\\\\\n",
       "\t15 & 30 & 1 & 18 & 4.133333 & 4.4 & 1 & 2\\\\\n",
       "\t⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t50 & 36 & 1 & 23 & 4.933333 & 5.2 & 2 & 4\\\\\n",
       "\t51 & 37 & 2 & 21 & 5.333333 & 5.4 & 1 & 1\\\\\n",
       "\t21 & 38 & 1 & 24 & 2.800000 & 2.6 & 1 & 2\\\\\n",
       "\t52 & 39 & 1 & 19 & 5.066667 & 5.6 & 2 & 3\\\\\n",
       "\t53 & 40 & 2 & 20 & 4.533333 & 4.6 & 2 & 4\\\\\n",
       "\t22 & 41 & 1 & 18 & 3.800000 & 3.9 & 1 & 1\\\\\n",
       "\t23 & 42 & 1 & 19 & 1.533333 & 1.1 & 1 & 2\\\\\n",
       "\t54 & 43 & 2 & 23 & 5.800000 & 5.4 & 2 & 3\\\\\n",
       "\t24 & 44 & 1 & 19 & 3.333333 & 3.6 & 2 & 4\\\\\n",
       "\t25 & 45 & 1 & 18 & 3.533333 & 3.4 & 1 & 1\\\\\n",
       "\t26 & 46 & 1 & 18 & 3.733333 & 3.9 & 1 & 2\\\\\n",
       "\t55 & 47 & 1 & 21 & 4.533333 & 4.6 & 2 & 3\\\\\n",
       "\t56 & 48 & 1 & 21 & 6.266667 & 6.4 & 2 & 4\\\\\n",
       "\t27 & 49 & 1 & 18 & 4.066667 & 3.9 & 1 & 1\\\\\n",
       "\t28 & 50 & 1 & 22 & 3.533333 & 4.0 & 1 & 2\\\\\n",
       "\t57 & 51 & 1 & 32 & 5.400000 & 5.2 & 1 & 1\\\\\n",
       "\t58 & 52 & 1 & 25 & 4.600000 & 4.6 & 1 & 2\\\\\n",
       "\t59 & 53 & 1 & 25 & 4.800000 & 4.7 & 2 & 3\\\\\n",
       "\t29 & 54 & 2 & 25 & 3.466667 & 3.5 & 2 & 4\\\\\n",
       "\t60 & 55 & 1 & 22 & 4.866667 & 4.8 & 1 & 1\\\\\n",
       "\t61 & 56 & 2 & 23 & 5.200000 & 5.5 & 1 & 2\\\\\n",
       "\t30 & 57 & 2 & 28 & 3.200000 & 4.0 & 2 & 3\\\\\n",
       "\t62 & 58 & 2 & 21 & 5.800000 & 5.8 & 2 & 4\\\\\n",
       "\t31 & 59 & 1 & 23 & 4.400000 & 4.3 & 1 & 1\\\\\n",
       "\t63 & 60 & 2 & 22 & 4.666667 & 5.3 & 1 & 2\\\\\n",
       "\t32 & 61 & 1 & 22 & 4.666667 & 4.5 & 2 & 3\\\\\n",
       "\t33 & 62 & 1 & 21 & 4.066667 & 3.8 & 2 & 4\\\\\n",
       "\t64 & 63 & 1 & 22 & 5.666667 & 5.5 & 1 & 1\\\\\n",
       "\t34 & 64 & 1 & 29 & 4.266667 & 4.5 & 1 & 2\\\\\n",
       "\t65 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 65 × 7\n",
       "\n",
       "| <!--/--> | participant &lt;int&gt; | sex &lt;int&gt; | age &lt;int&gt; | SBSOD_average &lt;dbl&gt; | SBSOD_CY_average &lt;dbl&gt; | Route_Order &lt;int&gt; | RouteOrder_4 &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|---|\n",
       "| 1 |  1 | 1 | 21 | 3.000000 | 2.5 | 1 | 1 |\n",
       "| 35 |  2 | 2 | 23 | 5.533333 | 5.2 | 1 | 2 |\n",
       "| 36 |  3 | 1 | 21 | 4.533333 | 4.6 | 2 | 3 |\n",
       "| 37 |  4 | 1 | 18 | 4.400000 | 4.8 | 2 | 4 |\n",
       "| 2 |  5 | 1 | 22 | 4.066667 | 4.2 | 1 | 1 |\n",
       "| 38 |  6 | 1 | 21 | 4.533333 | 5.3 | 1 | 2 |\n",
       "| 39 |  7 | 1 | 23 | 5.000000 | 5.1 | 2 | 3 |\n",
       "| 3 |  8 | 1 | 21 | 3.533333 | 4.4 | 2 | 4 |\n",
       "| 4 |  9 | 1 | 31 | 4.733333 | 4.5 | 1 | 1 |\n",
       "| 5 | 10 | 1 | 19 | 3.933333 | 4.1 | 1 | 2 |\n",
       "| 6 | 11 | 1 | 22 | 3.400000 | 3.7 | 2 | 3 |\n",
       "| 40 | 12 | 2 | 25 | 5.000000 | 5.1 | 2 | 4 |\n",
       "| 7 | 13 | 1 | 21 | 3.400000 | 3.7 | 1 | 1 |\n",
       "| 41 | 14 | 1 | 20 | 5.000000 | 5.1 | 1 | 2 |\n",
       "| 42 | 15 | 1 | 20 | 5.400000 | 5.4 | 2 | 3 |\n",
       "| 8 | 16 | 2 | 24 | 4.266667 | 4.2 | 2 | 4 |\n",
       "| 43 | 17 | 1 | 19 | 4.733333 | 4.6 | 1 | 1 |\n",
       "| 44 | 18 | 2 | 22 | 6.066667 | 6.4 | 1 | 2 |\n",
       "| 9 | 19 | 1 | 20 | 3.733333 | 3.5 | 2 | 3 |\n",
       "| 45 | 20 | 2 | 22 | 5.066667 | 5.1 | 2 | 4 |\n",
       "| 46 | 21 | 1 | 19 | 4.466667 | 4.8 | 1 | 1 |\n",
       "| 10 | 22 | 1 | 18 | 4.533333 | 4.4 | 1 | 2 |\n",
       "| 47 | 23 | 1 | 18 | 4.200000 | 5.0 | 2 | 3 |\n",
       "| 11 | 24 | 1 | 19 | 4.200000 | 4.3 | 2 | 4 |\n",
       "| 12 | 25 | 1 | 18 | 4.533333 | 4.4 | 1 | 1 |\n",
       "| 48 | 26 | 2 | 24 | 5.400000 | 5.5 | 1 | 2 |\n",
       "| 13 | 27 | 2 | 21 | 4.200000 | 4.4 | 2 | 3 |\n",
       "| 14 | 28 | 2 | 19 | 3.333333 | 3.2 | 2 | 4 |\n",
       "| 49 | 29 | 1 | 19 | 5.000000 | 5.1 | 1 | 1 |\n",
       "| 15 | 30 | 1 | 18 | 4.133333 | 4.4 | 1 | 2 |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| 50 | 36 | 1 | 23 | 4.933333 | 5.2 | 2 | 4 |\n",
       "| 51 | 37 | 2 | 21 | 5.333333 | 5.4 | 1 | 1 |\n",
       "| 21 | 38 | 1 | 24 | 2.800000 | 2.6 | 1 | 2 |\n",
       "| 52 | 39 | 1 | 19 | 5.066667 | 5.6 | 2 | 3 |\n",
       "| 53 | 40 | 2 | 20 | 4.533333 | 4.6 | 2 | 4 |\n",
       "| 22 | 41 | 1 | 18 | 3.800000 | 3.9 | 1 | 1 |\n",
       "| 23 | 42 | 1 | 19 | 1.533333 | 1.1 | 1 | 2 |\n",
       "| 54 | 43 | 2 | 23 | 5.800000 | 5.4 | 2 | 3 |\n",
       "| 24 | 44 | 1 | 19 | 3.333333 | 3.6 | 2 | 4 |\n",
       "| 25 | 45 | 1 | 18 | 3.533333 | 3.4 | 1 | 1 |\n",
       "| 26 | 46 | 1 | 18 | 3.733333 | 3.9 | 1 | 2 |\n",
       "| 55 | 47 | 1 | 21 | 4.533333 | 4.6 | 2 | 3 |\n",
       "| 56 | 48 | 1 | 21 | 6.266667 | 6.4 | 2 | 4 |\n",
       "| 27 | 49 | 1 | 18 | 4.066667 | 3.9 | 1 | 1 |\n",
       "| 28 | 50 | 1 | 22 | 3.533333 | 4.0 | 1 | 2 |\n",
       "| 57 | 51 | 1 | 32 | 5.400000 | 5.2 | 1 | 1 |\n",
       "| 58 | 52 | 1 | 25 | 4.600000 | 4.6 | 1 | 2 |\n",
       "| 59 | 53 | 1 | 25 | 4.800000 | 4.7 | 2 | 3 |\n",
       "| 29 | 54 | 2 | 25 | 3.466667 | 3.5 | 2 | 4 |\n",
       "| 60 | 55 | 1 | 22 | 4.866667 | 4.8 | 1 | 1 |\n",
       "| 61 | 56 | 2 | 23 | 5.200000 | 5.5 | 1 | 2 |\n",
       "| 30 | 57 | 2 | 28 | 3.200000 | 4.0 | 2 | 3 |\n",
       "| 62 | 58 | 2 | 21 | 5.800000 | 5.8 | 2 | 4 |\n",
       "| 31 | 59 | 1 | 23 | 4.400000 | 4.3 | 1 | 1 |\n",
       "| 63 | 60 | 2 | 22 | 4.666667 | 5.3 | 1 | 2 |\n",
       "| 32 | 61 | 1 | 22 | 4.666667 | 4.5 | 2 | 3 |\n",
       "| 33 | 62 | 1 | 21 | 4.066667 | 3.8 | 2 | 4 |\n",
       "| 64 | 63 | 1 | 22 | 5.666667 | 5.5 | 1 | 1 |\n",
       "| 34 | 64 | 1 | 29 | 4.266667 | 4.5 | 1 | 2 |\n",
       "| 65 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 |\n",
       "\n"
      ],
      "text/plain": [
       "   participant sex age SBSOD_average SBSOD_CY_average Route_Order RouteOrder_4\n",
       "1   1          1   21  3.000000      2.5              1           1           \n",
       "35  2          2   23  5.533333      5.2              1           2           \n",
       "36  3          1   21  4.533333      4.6              2           3           \n",
       "37  4          1   18  4.400000      4.8              2           4           \n",
       "2   5          1   22  4.066667      4.2              1           1           \n",
       "38  6          1   21  4.533333      5.3              1           2           \n",
       "39  7          1   23  5.000000      5.1              2           3           \n",
       "3   8          1   21  3.533333      4.4              2           4           \n",
       "4   9          1   31  4.733333      4.5              1           1           \n",
       "5  10          1   19  3.933333      4.1              1           2           \n",
       "6  11          1   22  3.400000      3.7              2           3           \n",
       "40 12          2   25  5.000000      5.1              2           4           \n",
       "7  13          1   21  3.400000      3.7              1           1           \n",
       "41 14          1   20  5.000000      5.1              1           2           \n",
       "42 15          1   20  5.400000      5.4              2           3           \n",
       "8  16          2   24  4.266667      4.2              2           4           \n",
       "43 17          1   19  4.733333      4.6              1           1           \n",
       "44 18          2   22  6.066667      6.4              1           2           \n",
       "9  19          1   20  3.733333      3.5              2           3           \n",
       "45 20          2   22  5.066667      5.1              2           4           \n",
       "46 21          1   19  4.466667      4.8              1           1           \n",
       "10 22          1   18  4.533333      4.4              1           2           \n",
       "47 23          1   18  4.200000      5.0              2           3           \n",
       "11 24          1   19  4.200000      4.3              2           4           \n",
       "12 25          1   18  4.533333      4.4              1           1           \n",
       "48 26          2   24  5.400000      5.5              1           2           \n",
       "13 27          2   21  4.200000      4.4              2           3           \n",
       "14 28          2   19  3.333333      3.2              2           4           \n",
       "49 29          1   19  5.000000      5.1              1           1           \n",
       "15 30          1   18  4.133333      4.4              1           2           \n",
       "⋮  ⋮           ⋮   ⋮   ⋮             ⋮                ⋮           ⋮           \n",
       "50 36          1   23  4.933333      5.2              2           4           \n",
       "51 37          2   21  5.333333      5.4              1           1           \n",
       "21 38          1   24  2.800000      2.6              1           2           \n",
       "52 39          1   19  5.066667      5.6              2           3           \n",
       "53 40          2   20  4.533333      4.6              2           4           \n",
       "22 41          1   18  3.800000      3.9              1           1           \n",
       "23 42          1   19  1.533333      1.1              1           2           \n",
       "54 43          2   23  5.800000      5.4              2           3           \n",
       "24 44          1   19  3.333333      3.6              2           4           \n",
       "25 45          1   18  3.533333      3.4              1           1           \n",
       "26 46          1   18  3.733333      3.9              1           2           \n",
       "55 47          1   21  4.533333      4.6              2           3           \n",
       "56 48          1   21  6.266667      6.4              2           4           \n",
       "27 49          1   18  4.066667      3.9              1           1           \n",
       "28 50          1   22  3.533333      4.0              1           2           \n",
       "57 51          1   32  5.400000      5.2              1           1           \n",
       "58 52          1   25  4.600000      4.6              1           2           \n",
       "59 53          1   25  4.800000      4.7              2           3           \n",
       "29 54          2   25  3.466667      3.5              2           4           \n",
       "60 55          1   22  4.866667      4.8              1           1           \n",
       "61 56          2   23  5.200000      5.5              1           2           \n",
       "30 57          2   28  3.200000      4.0              2           3           \n",
       "62 58          2   21  5.800000      5.8              2           4           \n",
       "31 59          1   23  4.400000      4.3              1           1           \n",
       "63 60          2   22  4.666667      5.3              1           2           \n",
       "32 61          1   22  4.666667      4.5              2           3           \n",
       "33 62          1   21  4.066667      3.8              2           4           \n",
       "64 63          1   22  5.666667      5.5              1           1           \n",
       "34 64          1   29  4.266667      4.5              1           2           \n",
       "65 65          2   27  5.466667      5.7              2           3           "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's grab just the first 7 columns with the demographic / design info we need\n",
    "DemographicData <- subset(BySubsData, select=1:7)\n",
    "#View(DemographicData)\n",
    "DemographicData"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5781f444",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "17"
      ],
      "text/latex": [
       "17"
      ],
      "text/markdown": [
       "17"
      ],
      "text/plain": [
       "[1] 17"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's also grab the columns with the Space Syntax measures\n",
    "which(colnames(BySubsData)==\"Connectivity\" ) #17h column\n",
    "SpaceSyntaxMeasures <- subset(BySubsData, select=17:21)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "28b8ec97",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's combine the number of observations (n) the per participant, the DemographicData, and the SpaceSyntax measures\n",
    "CombinedData <-cbind(DemographicData, ParticipantTrials, SpaceSyntaxMeasures)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7f7a4a89",
   "metadata": {},
   "outputs": [],
   "source": [
    "AllPointingData = read.xls('Masterfile_Pointing_cleaned_noPilot.xlsx', na.strings=c(\"NA\", \"#NULL!\")) \n",
    "ParticipantTrials <- count(AllPointingData, participant)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "bf1b5b86",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's repeat each row by n times and create an expanded df\n",
    "Combined_expanded <- CombinedData[rep(rownames(CombinedData), CombinedData$n), ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d3006f3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "3613"
      ],
      "text/latex": [
       "3613"
      ],
      "text/markdown": [
       "3613"
      ],
      "text/plain": [
       "[1] 3613"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#View(Combined_expanded)\n",
    "nrow(Combined_expanded) #OK cool, we now have 3613 rows as our Pointing file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f4b3702a",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Before merging them let's check how Subjects are organized in the Pointing file (ascending order?)\n",
    "#View(AllPointingData)\n",
    "# Nope, it goes 1, 10, 11, etc. So let's reorganize by the first column (Participant)\n",
    "AllPointingData <- AllPointingData[order(AllPointingData[,1]), ] #sort according to first column (Participant)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "79a01baf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's combine with the expanded Demographics / Design info\n",
    "AllPointingData <- cbind(Combined_expanded,AllPointingData[,2:16])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "9001af9b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 3613 × 29</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>participant</th><th scope=col>sex</th><th scope=col>age</th><th scope=col>SBSOD_average</th><th scope=col>SBSOD_CY_average</th><th scope=col>Route_Order</th><th scope=col>RouteOrder_4</th><th scope=col>participant.1</th><th scope=col>n</th><th scope=col>Connectivity</th><th scope=col>⋯</th><th scope=col>bearing</th><th scope=col>actual_direction</th><th scope=col>abs_error</th><th scope=col>same_or_different</th><th scope=col>seenunseen</th><th scope=col>trial_type</th><th scope=col>error_start_RouteA</th><th scope=col>error_target_RouteA</th><th scope=col>error_start_RouteB</th><th scope=col>error_target_RouteB</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>⋯</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>65</td><td> 93.194238</td><td> 28.194238</td><td>same     </td><td>1</td><td>1</td><td> 28.194238</td><td> 28.194238</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.1</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>25</td><td> 37.528637</td><td> 12.528637</td><td>same     </td><td>0</td><td>0</td><td> 12.528637</td><td> 12.528637</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.2</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>16</td><td> 37.308022</td><td> 21.308022</td><td>different</td><td>1</td><td>2</td><td> 21.308022</td><td>        NA</td><td>      NA</td><td>21.308022</td></tr>\n",
       "\t<tr><th scope=row>1.3</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td> 7</td><td> 48.199476</td><td> 41.199476</td><td>different</td><td>1</td><td>2</td><td> 41.199476</td><td>        NA</td><td>      NA</td><td>41.199476</td></tr>\n",
       "\t<tr><th scope=row>1.4</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>14</td><td> 30.331695</td><td> 16.331695</td><td>different</td><td>1</td><td>2</td><td> 16.331695</td><td>        NA</td><td>      NA</td><td>16.331695</td></tr>\n",
       "\t<tr><th scope=row>1.5</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>25</td><td> 51.767682</td><td> 26.767682</td><td>different</td><td>1</td><td>2</td><td> 26.767682</td><td>        NA</td><td>      NA</td><td>26.767682</td></tr>\n",
       "\t<tr><th scope=row>1.6</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>38</td><td> 47.327984</td><td>  9.327984</td><td>same     </td><td>0</td><td>0</td><td>  9.327984</td><td>  9.327984</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.7</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td> 2</td><td>  7.021705</td><td>  5.021705</td><td>same     </td><td>0</td><td>0</td><td>  5.021705</td><td>  5.021705</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.8</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>23</td><td>  3.323864</td><td> 19.676136</td><td>different</td><td>1</td><td>2</td><td> 19.676136</td><td>        NA</td><td>      NA</td><td>19.676136</td></tr>\n",
       "\t<tr><th scope=row>1.9</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td> 8</td><td>130.654246</td><td>122.654246</td><td>same     </td><td>0</td><td>0</td><td>122.654246</td><td>122.654246</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.10</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>41</td><td> 17.950764</td><td> 23.049236</td><td>different</td><td>1</td><td>2</td><td> 23.049236</td><td>        NA</td><td>      NA</td><td>23.049236</td></tr>\n",
       "\t<tr><th scope=row>1.11</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>28</td><td> 48.195938</td><td> 20.195938</td><td>same     </td><td>1</td><td>1</td><td> 20.195938</td><td> 20.195938</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.12</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>11</td><td>  8.968175</td><td>  2.031825</td><td>different</td><td>1</td><td>2</td><td>  2.031825</td><td>        NA</td><td>      NA</td><td> 2.031825</td></tr>\n",
       "\t<tr><th scope=row>1.13</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>35</td><td> 29.209033</td><td>  5.790967</td><td>different</td><td>1</td><td>2</td><td>  5.790967</td><td>        NA</td><td>      NA</td><td> 5.790967</td></tr>\n",
       "\t<tr><th scope=row>1.14</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>89</td><td> 99.959846</td><td> 10.959846</td><td>different</td><td>1</td><td>2</td><td> 10.959846</td><td>        NA</td><td>      NA</td><td>10.959846</td></tr>\n",
       "\t<tr><th scope=row>1.15</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>82</td><td> 77.710822</td><td>  4.289178</td><td>different</td><td>1</td><td>2</td><td>  4.289178</td><td>        NA</td><td>      NA</td><td> 4.289178</td></tr>\n",
       "\t<tr><th scope=row>1.16</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>76</td><td> 84.728112</td><td>  8.728112</td><td>different</td><td>1</td><td>2</td><td>  8.728112</td><td>        NA</td><td>      NA</td><td> 8.728112</td></tr>\n",
       "\t<tr><th scope=row>1.17</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>92</td><td>114.562794</td><td> 22.562794</td><td>same     </td><td>0</td><td>0</td><td> 22.562794</td><td> 22.562794</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.18</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>76</td><td>110.657434</td><td> 34.657434</td><td>different</td><td>1</td><td>2</td><td> 34.657434</td><td>        NA</td><td>      NA</td><td>34.657434</td></tr>\n",
       "\t<tr><th scope=row>1.19</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>66</td><td> 83.352166</td><td> 17.352166</td><td>same     </td><td>1</td><td>1</td><td> 17.352166</td><td> 17.352166</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.20</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>28</td><td>  2.146797</td><td> 25.853203</td><td>same     </td><td>1</td><td>1</td><td> 25.853203</td><td> 25.853203</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.21</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>41</td><td> 32.282464</td><td>  8.717536</td><td>same     </td><td>1</td><td>1</td><td>  8.717536</td><td>  8.717536</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.22</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>61</td><td> 42.146159</td><td> 18.853841</td><td>different</td><td>1</td><td>2</td><td> 18.853841</td><td>        NA</td><td>      NA</td><td>18.853841</td></tr>\n",
       "\t<tr><th scope=row>1.23</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>69</td><td> 66.191402</td><td>  2.808598</td><td>different</td><td>1</td><td>2</td><td>  2.808598</td><td>        NA</td><td>      NA</td><td> 2.808598</td></tr>\n",
       "\t<tr><th scope=row>1.24</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>11</td><td>  4.196895</td><td>  6.803105</td><td>same     </td><td>1</td><td>1</td><td>  6.803105</td><td>  6.803105</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.25</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>67</td><td> 64.953025</td><td>  2.046975</td><td>different</td><td>1</td><td>2</td><td>  2.046975</td><td>        NA</td><td>      NA</td><td> 2.046975</td></tr>\n",
       "\t<tr><th scope=row>1.26</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>76</td><td> 46.546899</td><td> 29.453101</td><td>same     </td><td>1</td><td>1</td><td> 29.453101</td><td> 29.453101</td><td>      NA</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.27</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>53</td><td> 46.292054</td><td>  6.707946</td><td>different</td><td>1</td><td>2</td><td>  6.707946</td><td>        NA</td><td>      NA</td><td> 6.707946</td></tr>\n",
       "\t<tr><th scope=row>1.28</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>60</td><td>173.968314</td><td>113.968314</td><td>different</td><td>1</td><td>2</td><td>        NA</td><td>113.968314</td><td>113.9683</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>1.29</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>⋯</td><td>55</td><td>173.569462</td><td>118.569462</td><td>different</td><td>1</td><td>2</td><td>        NA</td><td>118.569462</td><td>118.5695</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>⋮</th><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋱</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>65.25</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 35</td><td> 66.191402</td><td> 31.191402</td><td>different</td><td>1</td><td>2</td><td>31.19140</td><td>        NA</td><td>        NA</td><td>31.191402</td></tr>\n",
       "\t<tr><th scope=row>65.26</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 84</td><td> 64.953025</td><td> 19.046975</td><td>different</td><td>1</td><td>2</td><td>19.04697</td><td>        NA</td><td>        NA</td><td>19.046975</td></tr>\n",
       "\t<tr><th scope=row>65.27</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 13</td><td>139.930937</td><td>126.930937</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>126.930937</td><td>126.930937</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.28</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 76</td><td> 76.210883</td><td>  0.210883</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td>  0.210883</td><td> 0.210883</td></tr>\n",
       "\t<tr><th scope=row>65.29</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>  2</td><td>  1.204134</td><td>  0.795866</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td>  0.795866</td><td> 0.795866</td></tr>\n",
       "\t<tr><th scope=row>65.30</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>165</td><td>173.569462</td><td>  8.569462</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>  8.569462</td><td>  8.569462</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.31</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>176</td><td>173.968314</td><td>  2.031686</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>  2.031686</td><td>  2.031686</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.32</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>126</td><td>147.028447</td><td> 21.028447</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td> 21.028447</td><td>21.028447</td></tr>\n",
       "\t<tr><th scope=row>65.33</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 28</td><td>176.202281</td><td>148.202281</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>148.202281</td><td>148.202281</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.34</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>143</td><td> 88.093462</td><td> 54.906538</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 54.906538</td><td> 54.906538</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.35</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>  3</td><td>  0.279262</td><td>  2.720738</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td>  2.720738</td><td> 2.720738</td></tr>\n",
       "\t<tr><th scope=row>65.36</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 90</td><td> 79.448519</td><td> 10.551481</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 10.551481</td><td> 10.551481</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.37</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 25</td><td>119.692958</td><td> 94.692958</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 94.692958</td><td> 94.692958</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.38</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>129</td><td>125.843115</td><td>  3.156885</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td>  3.156885</td><td> 3.156885</td></tr>\n",
       "\t<tr><th scope=row>65.39</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 83</td><td> 63.692776</td><td> 19.307224</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td> 19.307224</td><td>19.307224</td></tr>\n",
       "\t<tr><th scope=row>65.40</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>101</td><td> 90.647009</td><td> 10.352991</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 10.352991</td><td> 10.352991</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.41</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 53</td><td>  4.240041</td><td> 48.759959</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 48.759959</td><td> 48.759959</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.42</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 74</td><td> 89.635257</td><td> 15.635257</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td> 15.635257</td><td>15.635257</td></tr>\n",
       "\t<tr><th scope=row>65.43</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 46</td><td> 23.091344</td><td> 22.908656</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 22.908656</td><td> 22.908656</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.44</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 82</td><td> 51.856162</td><td> 30.143838</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td> 30.143838</td><td>30.143838</td></tr>\n",
       "\t<tr><th scope=row>65.45</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>  5</td><td>  2.713388</td><td>  2.286612</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td>  2.286612</td><td> 2.286612</td></tr>\n",
       "\t<tr><th scope=row>65.46</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 27</td><td> 17.762055</td><td>  9.237945</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>  9.237945</td><td>  9.237945</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.47</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 13</td><td>  6.744509</td><td>  6.255491</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>  6.255491</td><td>  6.255491</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.48</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 16</td><td>156.235563</td><td>140.235563</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>140.235563</td><td>140.235563</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.49</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 40</td><td> 38.782798</td><td>  1.217202</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td>  1.217202</td><td> 1.217202</td></tr>\n",
       "\t<tr><th scope=row>65.50</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 75</td><td>173.285264</td><td> 98.285264</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 98.285264</td><td> 98.285264</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.51</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 52</td><td> 20.699814</td><td> 31.300186</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td> 31.300186</td><td>31.300186</td></tr>\n",
       "\t<tr><th scope=row>65.52</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>  8</td><td>147.248191</td><td>139.248191</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td>139.248191</td><td>139.248191</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.53</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td>112</td><td>171.008665</td><td> 59.008665</td><td>different</td><td>1</td><td>2</td><td>      NA</td><td> 59.008665</td><td> 59.008665</td><td>       NA</td></tr>\n",
       "\t<tr><th scope=row>65.54</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>65</td><td>55</td><td>3.71429</td><td>⋯</td><td> 81</td><td> 67.303531</td><td> 13.696469</td><td>same     </td><td>0</td><td>0</td><td>      NA</td><td>        NA</td><td> 13.696469</td><td>13.696469</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 3613 × 29\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & participant & sex & age & SBSOD\\_average & SBSOD\\_CY\\_average & Route\\_Order & RouteOrder\\_4 & participant.1 & n & Connectivity & ⋯ & bearing & actual\\_direction & abs\\_error & same\\_or\\_different & seenunseen & trial\\_type & error\\_start\\_RouteA & error\\_target\\_RouteA & error\\_start\\_RouteB & error\\_target\\_RouteB\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <dbl> & <int> & <int> & <int> & <int> & <dbl> & ⋯ & <int> & <dbl> & <dbl> & <chr> & <int> & <int> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 65 &  93.194238 &  28.194238 & same      & 1 & 1 &  28.194238 &  28.194238 &       NA &        NA\\\\\n",
       "\t1.1 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 25 &  37.528637 &  12.528637 & same      & 0 & 0 &  12.528637 &  12.528637 &       NA &        NA\\\\\n",
       "\t1.2 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 16 &  37.308022 &  21.308022 & different & 1 & 2 &  21.308022 &         NA &       NA & 21.308022\\\\\n",
       "\t1.3 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ &  7 &  48.199476 &  41.199476 & different & 1 & 2 &  41.199476 &         NA &       NA & 41.199476\\\\\n",
       "\t1.4 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 14 &  30.331695 &  16.331695 & different & 1 & 2 &  16.331695 &         NA &       NA & 16.331695\\\\\n",
       "\t1.5 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 25 &  51.767682 &  26.767682 & different & 1 & 2 &  26.767682 &         NA &       NA & 26.767682\\\\\n",
       "\t1.6 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 38 &  47.327984 &   9.327984 & same      & 0 & 0 &   9.327984 &   9.327984 &       NA &        NA\\\\\n",
       "\t1.7 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ &  2 &   7.021705 &   5.021705 & same      & 0 & 0 &   5.021705 &   5.021705 &       NA &        NA\\\\\n",
       "\t1.8 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 23 &   3.323864 &  19.676136 & different & 1 & 2 &  19.676136 &         NA &       NA & 19.676136\\\\\n",
       "\t1.9 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ &  8 & 130.654246 & 122.654246 & same      & 0 & 0 & 122.654246 & 122.654246 &       NA &        NA\\\\\n",
       "\t1.10 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 41 &  17.950764 &  23.049236 & different & 1 & 2 &  23.049236 &         NA &       NA & 23.049236\\\\\n",
       "\t1.11 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 28 &  48.195938 &  20.195938 & same      & 1 & 1 &  20.195938 &  20.195938 &       NA &        NA\\\\\n",
       "\t1.12 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 11 &   8.968175 &   2.031825 & different & 1 & 2 &   2.031825 &         NA &       NA &  2.031825\\\\\n",
       "\t1.13 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 35 &  29.209033 &   5.790967 & different & 1 & 2 &   5.790967 &         NA &       NA &  5.790967\\\\\n",
       "\t1.14 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 89 &  99.959846 &  10.959846 & different & 1 & 2 &  10.959846 &         NA &       NA & 10.959846\\\\\n",
       "\t1.15 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 82 &  77.710822 &   4.289178 & different & 1 & 2 &   4.289178 &         NA &       NA &  4.289178\\\\\n",
       "\t1.16 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 76 &  84.728112 &   8.728112 & different & 1 & 2 &   8.728112 &         NA &       NA &  8.728112\\\\\n",
       "\t1.17 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 92 & 114.562794 &  22.562794 & same      & 0 & 0 &  22.562794 &  22.562794 &       NA &        NA\\\\\n",
       "\t1.18 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 76 & 110.657434 &  34.657434 & different & 1 & 2 &  34.657434 &         NA &       NA & 34.657434\\\\\n",
       "\t1.19 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 66 &  83.352166 &  17.352166 & same      & 1 & 1 &  17.352166 &  17.352166 &       NA &        NA\\\\\n",
       "\t1.20 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 28 &   2.146797 &  25.853203 & same      & 1 & 1 &  25.853203 &  25.853203 &       NA &        NA\\\\\n",
       "\t1.21 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 41 &  32.282464 &   8.717536 & same      & 1 & 1 &   8.717536 &   8.717536 &       NA &        NA\\\\\n",
       "\t1.22 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 61 &  42.146159 &  18.853841 & different & 1 & 2 &  18.853841 &         NA &       NA & 18.853841\\\\\n",
       "\t1.23 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 69 &  66.191402 &   2.808598 & different & 1 & 2 &   2.808598 &         NA &       NA &  2.808598\\\\\n",
       "\t1.24 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 11 &   4.196895 &   6.803105 & same      & 1 & 1 &   6.803105 &   6.803105 &       NA &        NA\\\\\n",
       "\t1.25 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 67 &  64.953025 &   2.046975 & different & 1 & 2 &   2.046975 &         NA &       NA &  2.046975\\\\\n",
       "\t1.26 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 76 &  46.546899 &  29.453101 & same      & 1 & 1 &  29.453101 &  29.453101 &       NA &        NA\\\\\n",
       "\t1.27 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 53 &  46.292054 &   6.707946 & different & 1 & 2 &   6.707946 &         NA &       NA &  6.707946\\\\\n",
       "\t1.28 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 60 & 173.968314 & 113.968314 & different & 1 & 2 &         NA & 113.968314 & 113.9683 &        NA\\\\\n",
       "\t1.29 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 1 & 56 & 3.71429 & ⋯ & 55 & 173.569462 & 118.569462 & different & 1 & 2 &         NA & 118.569462 & 118.5695 &        NA\\\\\n",
       "\t⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋱ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t65.25 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  35 &  66.191402 &  31.191402 & different & 1 & 2 & 31.19140 &         NA &         NA & 31.191402\\\\\n",
       "\t65.26 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  84 &  64.953025 &  19.046975 & different & 1 & 2 & 19.04697 &         NA &         NA & 19.046975\\\\\n",
       "\t65.27 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  13 & 139.930937 & 126.930937 & different & 1 & 2 &       NA & 126.930937 & 126.930937 &        NA\\\\\n",
       "\t65.28 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  76 &  76.210883 &   0.210883 & same      & 0 & 0 &       NA &         NA &   0.210883 &  0.210883\\\\\n",
       "\t65.29 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &   2 &   1.204134 &   0.795866 & same      & 0 & 0 &       NA &         NA &   0.795866 &  0.795866\\\\\n",
       "\t65.30 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 165 & 173.569462 &   8.569462 & different & 1 & 2 &       NA &   8.569462 &   8.569462 &        NA\\\\\n",
       "\t65.31 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 176 & 173.968314 &   2.031686 & different & 1 & 2 &       NA &   2.031686 &   2.031686 &        NA\\\\\n",
       "\t65.32 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 126 & 147.028447 &  21.028447 & same      & 0 & 0 &       NA &         NA &  21.028447 & 21.028447\\\\\n",
       "\t65.33 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  28 & 176.202281 & 148.202281 & different & 1 & 2 &       NA & 148.202281 & 148.202281 &        NA\\\\\n",
       "\t65.34 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 143 &  88.093462 &  54.906538 & different & 1 & 2 &       NA &  54.906538 &  54.906538 &        NA\\\\\n",
       "\t65.35 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &   3 &   0.279262 &   2.720738 & same      & 0 & 0 &       NA &         NA &   2.720738 &  2.720738\\\\\n",
       "\t65.36 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  90 &  79.448519 &  10.551481 & different & 1 & 2 &       NA &  10.551481 &  10.551481 &        NA\\\\\n",
       "\t65.37 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  25 & 119.692958 &  94.692958 & different & 1 & 2 &       NA &  94.692958 &  94.692958 &        NA\\\\\n",
       "\t65.38 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 129 & 125.843115 &   3.156885 & same      & 0 & 0 &       NA &         NA &   3.156885 &  3.156885\\\\\n",
       "\t65.39 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  83 &  63.692776 &  19.307224 & same      & 0 & 0 &       NA &         NA &  19.307224 & 19.307224\\\\\n",
       "\t65.40 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 101 &  90.647009 &  10.352991 & different & 1 & 2 &       NA &  10.352991 &  10.352991 &        NA\\\\\n",
       "\t65.41 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  53 &   4.240041 &  48.759959 & different & 1 & 2 &       NA &  48.759959 &  48.759959 &        NA\\\\\n",
       "\t65.42 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  74 &  89.635257 &  15.635257 & same      & 0 & 0 &       NA &         NA &  15.635257 & 15.635257\\\\\n",
       "\t65.43 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  46 &  23.091344 &  22.908656 & different & 1 & 2 &       NA &  22.908656 &  22.908656 &        NA\\\\\n",
       "\t65.44 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  82 &  51.856162 &  30.143838 & same      & 0 & 0 &       NA &         NA &  30.143838 & 30.143838\\\\\n",
       "\t65.45 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &   5 &   2.713388 &   2.286612 & same      & 0 & 0 &       NA &         NA &   2.286612 &  2.286612\\\\\n",
       "\t65.46 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  27 &  17.762055 &   9.237945 & different & 1 & 2 &       NA &   9.237945 &   9.237945 &        NA\\\\\n",
       "\t65.47 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  13 &   6.744509 &   6.255491 & different & 1 & 2 &       NA &   6.255491 &   6.255491 &        NA\\\\\n",
       "\t65.48 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  16 & 156.235563 & 140.235563 & different & 1 & 2 &       NA & 140.235563 & 140.235563 &        NA\\\\\n",
       "\t65.49 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  40 &  38.782798 &   1.217202 & same      & 0 & 0 &       NA &         NA &   1.217202 &  1.217202\\\\\n",
       "\t65.50 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  75 & 173.285264 &  98.285264 & different & 1 & 2 &       NA &  98.285264 &  98.285264 &        NA\\\\\n",
       "\t65.51 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  52 &  20.699814 &  31.300186 & same      & 0 & 0 &       NA &         NA &  31.300186 & 31.300186\\\\\n",
       "\t65.52 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &   8 & 147.248191 & 139.248191 & different & 1 & 2 &       NA & 139.248191 & 139.248191 &        NA\\\\\n",
       "\t65.53 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ & 112 & 171.008665 &  59.008665 & different & 1 & 2 &       NA &  59.008665 &  59.008665 &        NA\\\\\n",
       "\t65.54 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 65 & 55 & 3.71429 & ⋯ &  81 &  67.303531 &  13.696469 & same      & 0 & 0 &       NA &         NA &  13.696469 & 13.696469\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 3613 × 29\n",
       "\n",
       "| <!--/--> | participant &lt;int&gt; | sex &lt;int&gt; | age &lt;int&gt; | SBSOD_average &lt;dbl&gt; | SBSOD_CY_average &lt;dbl&gt; | Route_Order &lt;int&gt; | RouteOrder_4 &lt;int&gt; | participant.1 &lt;int&gt; | n &lt;int&gt; | Connectivity &lt;dbl&gt; | ⋯ ⋯ | bearing &lt;int&gt; | actual_direction &lt;dbl&gt; | abs_error &lt;dbl&gt; | same_or_different &lt;chr&gt; | seenunseen &lt;int&gt; | trial_type &lt;int&gt; | error_start_RouteA &lt;dbl&gt; | error_target_RouteA &lt;dbl&gt; | error_start_RouteB &lt;dbl&gt; | error_target_RouteB &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 65 |  93.194238 |  28.194238 | same      | 1 | 1 |  28.194238 |  28.194238 |       NA |        NA |\n",
       "| 1.1 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 25 |  37.528637 |  12.528637 | same      | 0 | 0 |  12.528637 |  12.528637 |       NA |        NA |\n",
       "| 1.2 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 16 |  37.308022 |  21.308022 | different | 1 | 2 |  21.308022 |         NA |       NA | 21.308022 |\n",
       "| 1.3 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ |  7 |  48.199476 |  41.199476 | different | 1 | 2 |  41.199476 |         NA |       NA | 41.199476 |\n",
       "| 1.4 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 14 |  30.331695 |  16.331695 | different | 1 | 2 |  16.331695 |         NA |       NA | 16.331695 |\n",
       "| 1.5 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 25 |  51.767682 |  26.767682 | different | 1 | 2 |  26.767682 |         NA |       NA | 26.767682 |\n",
       "| 1.6 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 38 |  47.327984 |   9.327984 | same      | 0 | 0 |   9.327984 |   9.327984 |       NA |        NA |\n",
       "| 1.7 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ |  2 |   7.021705 |   5.021705 | same      | 0 | 0 |   5.021705 |   5.021705 |       NA |        NA |\n",
       "| 1.8 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 23 |   3.323864 |  19.676136 | different | 1 | 2 |  19.676136 |         NA |       NA | 19.676136 |\n",
       "| 1.9 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ |  8 | 130.654246 | 122.654246 | same      | 0 | 0 | 122.654246 | 122.654246 |       NA |        NA |\n",
       "| 1.10 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 41 |  17.950764 |  23.049236 | different | 1 | 2 |  23.049236 |         NA |       NA | 23.049236 |\n",
       "| 1.11 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 28 |  48.195938 |  20.195938 | same      | 1 | 1 |  20.195938 |  20.195938 |       NA |        NA |\n",
       "| 1.12 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 11 |   8.968175 |   2.031825 | different | 1 | 2 |   2.031825 |         NA |       NA |  2.031825 |\n",
       "| 1.13 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 35 |  29.209033 |   5.790967 | different | 1 | 2 |   5.790967 |         NA |       NA |  5.790967 |\n",
       "| 1.14 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 89 |  99.959846 |  10.959846 | different | 1 | 2 |  10.959846 |         NA |       NA | 10.959846 |\n",
       "| 1.15 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 82 |  77.710822 |   4.289178 | different | 1 | 2 |   4.289178 |         NA |       NA |  4.289178 |\n",
       "| 1.16 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 76 |  84.728112 |   8.728112 | different | 1 | 2 |   8.728112 |         NA |       NA |  8.728112 |\n",
       "| 1.17 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 92 | 114.562794 |  22.562794 | same      | 0 | 0 |  22.562794 |  22.562794 |       NA |        NA |\n",
       "| 1.18 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 76 | 110.657434 |  34.657434 | different | 1 | 2 |  34.657434 |         NA |       NA | 34.657434 |\n",
       "| 1.19 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 66 |  83.352166 |  17.352166 | same      | 1 | 1 |  17.352166 |  17.352166 |       NA |        NA |\n",
       "| 1.20 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 28 |   2.146797 |  25.853203 | same      | 1 | 1 |  25.853203 |  25.853203 |       NA |        NA |\n",
       "| 1.21 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 41 |  32.282464 |   8.717536 | same      | 1 | 1 |   8.717536 |   8.717536 |       NA |        NA |\n",
       "| 1.22 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 61 |  42.146159 |  18.853841 | different | 1 | 2 |  18.853841 |         NA |       NA | 18.853841 |\n",
       "| 1.23 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 69 |  66.191402 |   2.808598 | different | 1 | 2 |   2.808598 |         NA |       NA |  2.808598 |\n",
       "| 1.24 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 11 |   4.196895 |   6.803105 | same      | 1 | 1 |   6.803105 |   6.803105 |       NA |        NA |\n",
       "| 1.25 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 67 |  64.953025 |   2.046975 | different | 1 | 2 |   2.046975 |         NA |       NA |  2.046975 |\n",
       "| 1.26 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 76 |  46.546899 |  29.453101 | same      | 1 | 1 |  29.453101 |  29.453101 |       NA |        NA |\n",
       "| 1.27 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 53 |  46.292054 |   6.707946 | different | 1 | 2 |   6.707946 |         NA |       NA |  6.707946 |\n",
       "| 1.28 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 60 | 173.968314 | 113.968314 | different | 1 | 2 |         NA | 113.968314 | 113.9683 |        NA |\n",
       "| 1.29 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 1 | 56 | 3.71429 | ⋯ | 55 | 173.569462 | 118.569462 | different | 1 | 2 |         NA | 118.569462 | 118.5695 |        NA |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋱ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| 65.25 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  35 |  66.191402 |  31.191402 | different | 1 | 2 | 31.19140 |         NA |         NA | 31.191402 |\n",
       "| 65.26 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  84 |  64.953025 |  19.046975 | different | 1 | 2 | 19.04697 |         NA |         NA | 19.046975 |\n",
       "| 65.27 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  13 | 139.930937 | 126.930937 | different | 1 | 2 |       NA | 126.930937 | 126.930937 |        NA |\n",
       "| 65.28 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  76 |  76.210883 |   0.210883 | same      | 0 | 0 |       NA |         NA |   0.210883 |  0.210883 |\n",
       "| 65.29 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |   2 |   1.204134 |   0.795866 | same      | 0 | 0 |       NA |         NA |   0.795866 |  0.795866 |\n",
       "| 65.30 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 165 | 173.569462 |   8.569462 | different | 1 | 2 |       NA |   8.569462 |   8.569462 |        NA |\n",
       "| 65.31 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 176 | 173.968314 |   2.031686 | different | 1 | 2 |       NA |   2.031686 |   2.031686 |        NA |\n",
       "| 65.32 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 126 | 147.028447 |  21.028447 | same      | 0 | 0 |       NA |         NA |  21.028447 | 21.028447 |\n",
       "| 65.33 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  28 | 176.202281 | 148.202281 | different | 1 | 2 |       NA | 148.202281 | 148.202281 |        NA |\n",
       "| 65.34 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 143 |  88.093462 |  54.906538 | different | 1 | 2 |       NA |  54.906538 |  54.906538 |        NA |\n",
       "| 65.35 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |   3 |   0.279262 |   2.720738 | same      | 0 | 0 |       NA |         NA |   2.720738 |  2.720738 |\n",
       "| 65.36 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  90 |  79.448519 |  10.551481 | different | 1 | 2 |       NA |  10.551481 |  10.551481 |        NA |\n",
       "| 65.37 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  25 | 119.692958 |  94.692958 | different | 1 | 2 |       NA |  94.692958 |  94.692958 |        NA |\n",
       "| 65.38 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 129 | 125.843115 |   3.156885 | same      | 0 | 0 |       NA |         NA |   3.156885 |  3.156885 |\n",
       "| 65.39 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  83 |  63.692776 |  19.307224 | same      | 0 | 0 |       NA |         NA |  19.307224 | 19.307224 |\n",
       "| 65.40 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 101 |  90.647009 |  10.352991 | different | 1 | 2 |       NA |  10.352991 |  10.352991 |        NA |\n",
       "| 65.41 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  53 |   4.240041 |  48.759959 | different | 1 | 2 |       NA |  48.759959 |  48.759959 |        NA |\n",
       "| 65.42 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  74 |  89.635257 |  15.635257 | same      | 0 | 0 |       NA |         NA |  15.635257 | 15.635257 |\n",
       "| 65.43 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  46 |  23.091344 |  22.908656 | different | 1 | 2 |       NA |  22.908656 |  22.908656 |        NA |\n",
       "| 65.44 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  82 |  51.856162 |  30.143838 | same      | 0 | 0 |       NA |         NA |  30.143838 | 30.143838 |\n",
       "| 65.45 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |   5 |   2.713388 |   2.286612 | same      | 0 | 0 |       NA |         NA |   2.286612 |  2.286612 |\n",
       "| 65.46 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  27 |  17.762055 |   9.237945 | different | 1 | 2 |       NA |   9.237945 |   9.237945 |        NA |\n",
       "| 65.47 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  13 |   6.744509 |   6.255491 | different | 1 | 2 |       NA |   6.255491 |   6.255491 |        NA |\n",
       "| 65.48 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  16 | 156.235563 | 140.235563 | different | 1 | 2 |       NA | 140.235563 | 140.235563 |        NA |\n",
       "| 65.49 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  40 |  38.782798 |   1.217202 | same      | 0 | 0 |       NA |         NA |   1.217202 |  1.217202 |\n",
       "| 65.50 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  75 | 173.285264 |  98.285264 | different | 1 | 2 |       NA |  98.285264 |  98.285264 |        NA |\n",
       "| 65.51 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  52 |  20.699814 |  31.300186 | same      | 0 | 0 |       NA |         NA |  31.300186 | 31.300186 |\n",
       "| 65.52 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |   8 | 147.248191 | 139.248191 | different | 1 | 2 |       NA | 139.248191 | 139.248191 |        NA |\n",
       "| 65.53 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ | 112 | 171.008665 |  59.008665 | different | 1 | 2 |       NA |  59.008665 |  59.008665 |        NA |\n",
       "| 65.54 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 65 | 55 | 3.71429 | ⋯ |  81 |  67.303531 |  13.696469 | same      | 0 | 0 |       NA |         NA |  13.696469 | 13.696469 |\n",
       "\n"
      ],
      "text/plain": [
       "      participant sex age SBSOD_average SBSOD_CY_average Route_Order\n",
       "1     1           1   21  3             2.5              1          \n",
       "1.1   1           1   21  3             2.5              1          \n",
       "1.2   1           1   21  3             2.5              1          \n",
       "1.3   1           1   21  3             2.5              1          \n",
       "1.4   1           1   21  3             2.5              1          \n",
       "1.5   1           1   21  3             2.5              1          \n",
       "1.6   1           1   21  3             2.5              1          \n",
       "1.7   1           1   21  3             2.5              1          \n",
       "1.8   1           1   21  3             2.5              1          \n",
       "1.9   1           1   21  3             2.5              1          \n",
       "1.10  1           1   21  3             2.5              1          \n",
       "1.11  1           1   21  3             2.5              1          \n",
       "1.12  1           1   21  3             2.5              1          \n",
       "1.13  1           1   21  3             2.5              1          \n",
       "1.14  1           1   21  3             2.5              1          \n",
       "1.15  1           1   21  3             2.5              1          \n",
       "1.16  1           1   21  3             2.5              1          \n",
       "1.17  1           1   21  3             2.5              1          \n",
       "1.18  1           1   21  3             2.5              1          \n",
       "1.19  1           1   21  3             2.5              1          \n",
       "1.20  1           1   21  3             2.5              1          \n",
       "1.21  1           1   21  3             2.5              1          \n",
       "1.22  1           1   21  3             2.5              1          \n",
       "1.23  1           1   21  3             2.5              1          \n",
       "1.24  1           1   21  3             2.5              1          \n",
       "1.25  1           1   21  3             2.5              1          \n",
       "1.26  1           1   21  3             2.5              1          \n",
       "1.27  1           1   21  3             2.5              1          \n",
       "1.28  1           1   21  3             2.5              1          \n",
       "1.29  1           1   21  3             2.5              1          \n",
       "⋮     ⋮           ⋮   ⋮   ⋮             ⋮                ⋮          \n",
       "65.25 65          2   27  5.466667      5.7              2          \n",
       "65.26 65          2   27  5.466667      5.7              2          \n",
       "65.27 65          2   27  5.466667      5.7              2          \n",
       "65.28 65          2   27  5.466667      5.7              2          \n",
       "65.29 65          2   27  5.466667      5.7              2          \n",
       "65.30 65          2   27  5.466667      5.7              2          \n",
       "65.31 65          2   27  5.466667      5.7              2          \n",
       "65.32 65          2   27  5.466667      5.7              2          \n",
       "65.33 65          2   27  5.466667      5.7              2          \n",
       "65.34 65          2   27  5.466667      5.7              2          \n",
       "65.35 65          2   27  5.466667      5.7              2          \n",
       "65.36 65          2   27  5.466667      5.7              2          \n",
       "65.37 65          2   27  5.466667      5.7              2          \n",
       "65.38 65          2   27  5.466667      5.7              2          \n",
       "65.39 65          2   27  5.466667      5.7              2          \n",
       "65.40 65          2   27  5.466667      5.7              2          \n",
       "65.41 65          2   27  5.466667      5.7              2          \n",
       "65.42 65          2   27  5.466667      5.7              2          \n",
       "65.43 65          2   27  5.466667      5.7              2          \n",
       "65.44 65          2   27  5.466667      5.7              2          \n",
       "65.45 65          2   27  5.466667      5.7              2          \n",
       "65.46 65          2   27  5.466667      5.7              2          \n",
       "65.47 65          2   27  5.466667      5.7              2          \n",
       "65.48 65          2   27  5.466667      5.7              2          \n",
       "65.49 65          2   27  5.466667      5.7              2          \n",
       "65.50 65          2   27  5.466667      5.7              2          \n",
       "65.51 65          2   27  5.466667      5.7              2          \n",
       "65.52 65          2   27  5.466667      5.7              2          \n",
       "65.53 65          2   27  5.466667      5.7              2          \n",
       "65.54 65          2   27  5.466667      5.7              2          \n",
       "      RouteOrder_4 participant.1 n  Connectivity ⋯ bearing actual_direction\n",
       "1     1            1             56 3.71429      ⋯ 65       93.194238      \n",
       "1.1   1            1             56 3.71429      ⋯ 25       37.528637      \n",
       "1.2   1            1             56 3.71429      ⋯ 16       37.308022      \n",
       "1.3   1            1             56 3.71429      ⋯  7       48.199476      \n",
       "1.4   1            1             56 3.71429      ⋯ 14       30.331695      \n",
       "1.5   1            1             56 3.71429      ⋯ 25       51.767682      \n",
       "1.6   1            1             56 3.71429      ⋯ 38       47.327984      \n",
       "1.7   1            1             56 3.71429      ⋯  2        7.021705      \n",
       "1.8   1            1             56 3.71429      ⋯ 23        3.323864      \n",
       "1.9   1            1             56 3.71429      ⋯  8      130.654246      \n",
       "1.10  1            1             56 3.71429      ⋯ 41       17.950764      \n",
       "1.11  1            1             56 3.71429      ⋯ 28       48.195938      \n",
       "1.12  1            1             56 3.71429      ⋯ 11        8.968175      \n",
       "1.13  1            1             56 3.71429      ⋯ 35       29.209033      \n",
       "1.14  1            1             56 3.71429      ⋯ 89       99.959846      \n",
       "1.15  1            1             56 3.71429      ⋯ 82       77.710822      \n",
       "1.16  1            1             56 3.71429      ⋯ 76       84.728112      \n",
       "1.17  1            1             56 3.71429      ⋯ 92      114.562794      \n",
       "1.18  1            1             56 3.71429      ⋯ 76      110.657434      \n",
       "1.19  1            1             56 3.71429      ⋯ 66       83.352166      \n",
       "1.20  1            1             56 3.71429      ⋯ 28        2.146797      \n",
       "1.21  1            1             56 3.71429      ⋯ 41       32.282464      \n",
       "1.22  1            1             56 3.71429      ⋯ 61       42.146159      \n",
       "1.23  1            1             56 3.71429      ⋯ 69       66.191402      \n",
       "1.24  1            1             56 3.71429      ⋯ 11        4.196895      \n",
       "1.25  1            1             56 3.71429      ⋯ 67       64.953025      \n",
       "1.26  1            1             56 3.71429      ⋯ 76       46.546899      \n",
       "1.27  1            1             56 3.71429      ⋯ 53       46.292054      \n",
       "1.28  1            1             56 3.71429      ⋯ 60      173.968314      \n",
       "1.29  1            1             56 3.71429      ⋯ 55      173.569462      \n",
       "⋮     ⋮            ⋮             ⋮  ⋮            ⋱ ⋮       ⋮               \n",
       "65.25 3            65            55 3.71429      ⋯  35      66.191402      \n",
       "65.26 3            65            55 3.71429      ⋯  84      64.953025      \n",
       "65.27 3            65            55 3.71429      ⋯  13     139.930937      \n",
       "65.28 3            65            55 3.71429      ⋯  76      76.210883      \n",
       "65.29 3            65            55 3.71429      ⋯   2       1.204134      \n",
       "65.30 3            65            55 3.71429      ⋯ 165     173.569462      \n",
       "65.31 3            65            55 3.71429      ⋯ 176     173.968314      \n",
       "65.32 3            65            55 3.71429      ⋯ 126     147.028447      \n",
       "65.33 3            65            55 3.71429      ⋯  28     176.202281      \n",
       "65.34 3            65            55 3.71429      ⋯ 143      88.093462      \n",
       "65.35 3            65            55 3.71429      ⋯   3       0.279262      \n",
       "65.36 3            65            55 3.71429      ⋯  90      79.448519      \n",
       "65.37 3            65            55 3.71429      ⋯  25     119.692958      \n",
       "65.38 3            65            55 3.71429      ⋯ 129     125.843115      \n",
       "65.39 3            65            55 3.71429      ⋯  83      63.692776      \n",
       "65.40 3            65            55 3.71429      ⋯ 101      90.647009      \n",
       "65.41 3            65            55 3.71429      ⋯  53       4.240041      \n",
       "65.42 3            65            55 3.71429      ⋯  74      89.635257      \n",
       "65.43 3            65            55 3.71429      ⋯  46      23.091344      \n",
       "65.44 3            65            55 3.71429      ⋯  82      51.856162      \n",
       "65.45 3            65            55 3.71429      ⋯   5       2.713388      \n",
       "65.46 3            65            55 3.71429      ⋯  27      17.762055      \n",
       "65.47 3            65            55 3.71429      ⋯  13       6.744509      \n",
       "65.48 3            65            55 3.71429      ⋯  16     156.235563      \n",
       "65.49 3            65            55 3.71429      ⋯  40      38.782798      \n",
       "65.50 3            65            55 3.71429      ⋯  75     173.285264      \n",
       "65.51 3            65            55 3.71429      ⋯  52      20.699814      \n",
       "65.52 3            65            55 3.71429      ⋯   8     147.248191      \n",
       "65.53 3            65            55 3.71429      ⋯ 112     171.008665      \n",
       "65.54 3            65            55 3.71429      ⋯  81      67.303531      \n",
       "      abs_error  same_or_different seenunseen trial_type error_start_RouteA\n",
       "1      28.194238 same              1          1           28.194238        \n",
       "1.1    12.528637 same              0          0           12.528637        \n",
       "1.2    21.308022 different         1          2           21.308022        \n",
       "1.3    41.199476 different         1          2           41.199476        \n",
       "1.4    16.331695 different         1          2           16.331695        \n",
       "1.5    26.767682 different         1          2           26.767682        \n",
       "1.6     9.327984 same              0          0            9.327984        \n",
       "1.7     5.021705 same              0          0            5.021705        \n",
       "1.8    19.676136 different         1          2           19.676136        \n",
       "1.9   122.654246 same              0          0          122.654246        \n",
       "1.10   23.049236 different         1          2           23.049236        \n",
       "1.11   20.195938 same              1          1           20.195938        \n",
       "1.12    2.031825 different         1          2            2.031825        \n",
       "1.13    5.790967 different         1          2            5.790967        \n",
       "1.14   10.959846 different         1          2           10.959846        \n",
       "1.15    4.289178 different         1          2            4.289178        \n",
       "1.16    8.728112 different         1          2            8.728112        \n",
       "1.17   22.562794 same              0          0           22.562794        \n",
       "1.18   34.657434 different         1          2           34.657434        \n",
       "1.19   17.352166 same              1          1           17.352166        \n",
       "1.20   25.853203 same              1          1           25.853203        \n",
       "1.21    8.717536 same              1          1            8.717536        \n",
       "1.22   18.853841 different         1          2           18.853841        \n",
       "1.23    2.808598 different         1          2            2.808598        \n",
       "1.24    6.803105 same              1          1            6.803105        \n",
       "1.25    2.046975 different         1          2            2.046975        \n",
       "1.26   29.453101 same              1          1           29.453101        \n",
       "1.27    6.707946 different         1          2            6.707946        \n",
       "1.28  113.968314 different         1          2                  NA        \n",
       "1.29  118.569462 different         1          2                  NA        \n",
       "⋮     ⋮          ⋮                 ⋮          ⋮          ⋮                 \n",
       "65.25  31.191402 different         1          2          31.19140          \n",
       "65.26  19.046975 different         1          2          19.04697          \n",
       "65.27 126.930937 different         1          2                NA          \n",
       "65.28   0.210883 same              0          0                NA          \n",
       "65.29   0.795866 same              0          0                NA          \n",
       "65.30   8.569462 different         1          2                NA          \n",
       "65.31   2.031686 different         1          2                NA          \n",
       "65.32  21.028447 same              0          0                NA          \n",
       "65.33 148.202281 different         1          2                NA          \n",
       "65.34  54.906538 different         1          2                NA          \n",
       "65.35   2.720738 same              0          0                NA          \n",
       "65.36  10.551481 different         1          2                NA          \n",
       "65.37  94.692958 different         1          2                NA          \n",
       "65.38   3.156885 same              0          0                NA          \n",
       "65.39  19.307224 same              0          0                NA          \n",
       "65.40  10.352991 different         1          2                NA          \n",
       "65.41  48.759959 different         1          2                NA          \n",
       "65.42  15.635257 same              0          0                NA          \n",
       "65.43  22.908656 different         1          2                NA          \n",
       "65.44  30.143838 same              0          0                NA          \n",
       "65.45   2.286612 same              0          0                NA          \n",
       "65.46   9.237945 different         1          2                NA          \n",
       "65.47   6.255491 different         1          2                NA          \n",
       "65.48 140.235563 different         1          2                NA          \n",
       "65.49   1.217202 same              0          0                NA          \n",
       "65.50  98.285264 different         1          2                NA          \n",
       "65.51  31.300186 same              0          0                NA          \n",
       "65.52 139.248191 different         1          2                NA          \n",
       "65.53  59.008665 different         1          2                NA          \n",
       "65.54  13.696469 same              0          0                NA          \n",
       "      error_target_RouteA error_start_RouteB error_target_RouteB\n",
       "1      28.194238                NA                  NA          \n",
       "1.1    12.528637                NA                  NA          \n",
       "1.2           NA                NA           21.308022          \n",
       "1.3           NA                NA           41.199476          \n",
       "1.4           NA                NA           16.331695          \n",
       "1.5           NA                NA           26.767682          \n",
       "1.6     9.327984                NA                  NA          \n",
       "1.7     5.021705                NA                  NA          \n",
       "1.8           NA                NA           19.676136          \n",
       "1.9   122.654246                NA                  NA          \n",
       "1.10          NA                NA           23.049236          \n",
       "1.11   20.195938                NA                  NA          \n",
       "1.12          NA                NA            2.031825          \n",
       "1.13          NA                NA            5.790967          \n",
       "1.14          NA                NA           10.959846          \n",
       "1.15          NA                NA            4.289178          \n",
       "1.16          NA                NA            8.728112          \n",
       "1.17   22.562794                NA                  NA          \n",
       "1.18          NA                NA           34.657434          \n",
       "1.19   17.352166                NA                  NA          \n",
       "1.20   25.853203                NA                  NA          \n",
       "1.21    8.717536                NA                  NA          \n",
       "1.22          NA                NA           18.853841          \n",
       "1.23          NA                NA            2.808598          \n",
       "1.24    6.803105                NA                  NA          \n",
       "1.25          NA                NA            2.046975          \n",
       "1.26   29.453101                NA                  NA          \n",
       "1.27          NA                NA            6.707946          \n",
       "1.28  113.968314          113.9683                  NA          \n",
       "1.29  118.569462          118.5695                  NA          \n",
       "⋮     ⋮                   ⋮                  ⋮                  \n",
       "65.25         NA                  NA         31.191402          \n",
       "65.26         NA                  NA         19.046975          \n",
       "65.27 126.930937          126.930937                NA          \n",
       "65.28         NA            0.210883          0.210883          \n",
       "65.29         NA            0.795866          0.795866          \n",
       "65.30   8.569462            8.569462                NA          \n",
       "65.31   2.031686            2.031686                NA          \n",
       "65.32         NA           21.028447         21.028447          \n",
       "65.33 148.202281          148.202281                NA          \n",
       "65.34  54.906538           54.906538                NA          \n",
       "65.35         NA            2.720738          2.720738          \n",
       "65.36  10.551481           10.551481                NA          \n",
       "65.37  94.692958           94.692958                NA          \n",
       "65.38         NA            3.156885          3.156885          \n",
       "65.39         NA           19.307224         19.307224          \n",
       "65.40  10.352991           10.352991                NA          \n",
       "65.41  48.759959           48.759959                NA          \n",
       "65.42         NA           15.635257         15.635257          \n",
       "65.43  22.908656           22.908656                NA          \n",
       "65.44         NA           30.143838         30.143838          \n",
       "65.45         NA            2.286612          2.286612          \n",
       "65.46   9.237945            9.237945                NA          \n",
       "65.47   6.255491            6.255491                NA          \n",
       "65.48 140.235563          140.235563                NA          \n",
       "65.49         NA            1.217202          1.217202          \n",
       "65.50  98.285264           98.285264                NA          \n",
       "65.51         NA           31.300186         31.300186          \n",
       "65.52 139.248191          139.248191                NA          \n",
       "65.53  59.008665           59.008665                NA          \n",
       "65.54         NA           13.696469         13.696469          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "AllPointingData"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "27aac304",
   "metadata": {},
   "outputs": [],
   "source": [
    "######################\n",
    "#### Sanity check ####\n",
    "######################\n",
    "\n",
    "# Let's reproduce the aggregate error variables (contained in the BySubsData file) from the AllPointingData data\n",
    "# Aggregating by \"participant\" column name \"abs_error\"\n",
    "MeanAbsError <- aggregate(AllPointingData[, c(\"abs_error\")], list(AllPointingData$participant), mean)\n",
    "colnames(MeanAbsError) = c(\"participant2\", \"abs_error\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0535c711",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t3613 obs. of  29 variables:\n",
      " $ participant        : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ sex                : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ age                : int  21 21 21 21 21 21 21 21 21 21 ...\n",
      " $ SBSOD_average      : num  3 3 3 3 3 3 3 3 3 3 ...\n",
      " $ SBSOD_CY_average   : num  2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 ...\n",
      " $ Route_Order        : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ RouteOrder_4       : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ participant        : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ n                  : int  56 56 56 56 56 56 56 56 56 56 ...\n",
      " $ Connectivity       : num  3.71 3.71 3.71 3.71 3.71 ...\n",
      " $ Integration_Mean   : num  1.4 1.4 1.4 1.4 1.4 ...\n",
      " $ IntegrationR3_Mean : num  1.66 1.66 1.66 1.66 1.66 ...\n",
      " $ Depth_Mean         : num  2.59 2.59 2.59 2.59 2.59 ...\n",
      " $ DepthR3_Mean       : num  2.12 2.12 2.12 2.12 2.12 ...\n",
      " $ start_landmark     : chr  \"Batty House\" \"Batty House\" \"Batty House\" \"Batty House\" ...\n",
      " $ start_by_route     : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ facing_landmark    : chr  \"Lynch Station\" \"Lynch Station\" \"Lynch Station\" \"Lynch Station\" ...\n",
      " $ target_landmark    : chr  \"Harvey House\" \"Harris Hall\" \"Tobler Museum\" \"Snow Church\" ...\n",
      " $ target_by_route    : int  1 1 2 2 2 2 1 1 2 1 ...\n",
      " $ bearing            : int  65 25 16 7 14 25 38 2 23 8 ...\n",
      " $ actual_direction   : num  93.2 37.5 37.3 48.2 30.3 ...\n",
      " $ abs_error          : num  28.2 12.5 21.3 41.2 16.3 ...\n",
      " $ same_or_different  : chr  \"same\" \"same\" \"different\" \"different\" ...\n",
      " $ seenunseen         : int  1 0 1 1 1 1 0 0 1 0 ...\n",
      " $ trial_type         : int  1 0 2 2 2 2 0 0 2 0 ...\n",
      " $ error_start_RouteA : num  28.2 12.5 21.3 41.2 16.3 ...\n",
      " $ error_target_RouteA: num  28.2 12.5 NA NA NA ...\n",
      " $ error_start_RouteB : num  NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ error_target_RouteB: num  NA NA 21.3 41.2 16.3 ...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "26"
      ],
      "text/latex": [
       "26"
      ],
      "text/markdown": [
       "26"
      ],
      "text/plain": [
       "[1] 26"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "str(AllPointingData)\n",
    "which(colnames(AllPointingData)==\"error_start_RouteA\" ) #25th column\n",
    "# Let's aggregate by participant columns 20-23 (error_start_RouteA, error_target_RouteA, error_start_RouteB, error_target_RouteB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a4bb4c98",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 65 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Group.1</th><th scope=col>trial_type</th><th scope=col>error_start_RouteA</th><th scope=col>error_target_RouteA</th><th scope=col>error_start_RouteB</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 1</td><td>1.267857</td><td>19.78113</td><td>28.67941</td><td>20.309270</td></tr>\n",
       "\t<tr><td> 2</td><td>1.267857</td><td>27.25540</td><td>28.84310</td><td>27.476587</td></tr>\n",
       "\t<tr><td> 3</td><td>1.267857</td><td>25.08009</td><td>48.14568</td><td>42.366709</td></tr>\n",
       "\t<tr><td> 4</td><td>1.267857</td><td>29.65694</td><td>27.67370</td><td>20.653024</td></tr>\n",
       "\t<tr><td> 5</td><td>1.267857</td><td>27.21885</td><td>49.21212</td><td>43.767034</td></tr>\n",
       "\t<tr><td> 6</td><td>1.267857</td><td>34.13608</td><td>52.75195</td><td>40.701161</td></tr>\n",
       "\t<tr><td> 7</td><td>1.267857</td><td>22.29536</td><td>44.46375</td><td>36.992285</td></tr>\n",
       "\t<tr><td> 8</td><td>1.267857</td><td>44.21325</td><td>63.79064</td><td>50.371065</td></tr>\n",
       "\t<tr><td> 9</td><td>1.267857</td><td>37.61004</td><td>55.89559</td><td>46.190677</td></tr>\n",
       "\t<tr><td>10</td><td>1.267857</td><td>46.35503</td><td>62.59099</td><td>57.310572</td></tr>\n",
       "\t<tr><td>11</td><td>1.267857</td><td>39.89112</td><td>50.86219</td><td>53.969643</td></tr>\n",
       "\t<tr><td>12</td><td>1.267857</td><td>31.28554</td><td>56.61508</td><td>50.848492</td></tr>\n",
       "\t<tr><td>13</td><td>1.267857</td><td>35.82925</td><td>64.43335</td><td>60.257595</td></tr>\n",
       "\t<tr><td>14</td><td>1.267857</td><td>37.41291</td><td>63.55189</td><td>58.868605</td></tr>\n",
       "\t<tr><td>15</td><td>1.267857</td><td>39.16316</td><td>58.43201</td><td>43.632722</td></tr>\n",
       "\t<tr><td>16</td><td>1.267857</td><td>22.49092</td><td>22.47940</td><td>15.307694</td></tr>\n",
       "\t<tr><td>17</td><td>1.267857</td><td>45.34423</td><td>68.78656</td><td>64.669987</td></tr>\n",
       "\t<tr><td>18</td><td>1.267857</td><td>21.78126</td><td>54.24455</td><td>48.828426</td></tr>\n",
       "\t<tr><td>19</td><td>1.267857</td><td>43.94544</td><td>58.45430</td><td>44.665600</td></tr>\n",
       "\t<tr><td>20</td><td>1.267857</td><td>31.85720</td><td>48.87499</td><td>46.798036</td></tr>\n",
       "\t<tr><td>21</td><td>1.267857</td><td>34.75982</td><td>53.63696</td><td>61.052217</td></tr>\n",
       "\t<tr><td>22</td><td>1.267857</td><td>28.10023</td><td>29.21999</td><td>24.905342</td></tr>\n",
       "\t<tr><td>23</td><td>1.267857</td><td>25.32889</td><td>56.17313</td><td>49.650131</td></tr>\n",
       "\t<tr><td>24</td><td>1.267857</td><td>33.07057</td><td>66.08919</td><td>58.247610</td></tr>\n",
       "\t<tr><td>25</td><td>1.267857</td><td>37.76242</td><td>67.32999</td><td>56.652070</td></tr>\n",
       "\t<tr><td>26</td><td>1.267857</td><td>26.65461</td><td>39.34231</td><td>34.157217</td></tr>\n",
       "\t<tr><td>27</td><td>1.267857</td><td>22.28916</td><td>16.22373</td><td> 9.360554</td></tr>\n",
       "\t<tr><td>28</td><td>1.267857</td><td>49.30908</td><td>69.03457</td><td>70.143012</td></tr>\n",
       "\t<tr><td>29</td><td>1.267857</td><td>23.49627</td><td>33.37772</td><td>33.436830</td></tr>\n",
       "\t<tr><td>30</td><td>1.267857</td><td>39.62590</td><td>52.30466</td><td>42.058595</td></tr>\n",
       "\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><td>36</td><td>1.267857</td><td>34.763249</td><td>31.21050</td><td>26.53099</td></tr>\n",
       "\t<tr><td>37</td><td>1.267857</td><td>39.218645</td><td>46.15732</td><td>35.94103</td></tr>\n",
       "\t<tr><td>38</td><td>1.267857</td><td>41.967547</td><td>48.20922</td><td>41.78377</td></tr>\n",
       "\t<tr><td>39</td><td>1.267857</td><td>33.095246</td><td>47.46942</td><td>51.85340</td></tr>\n",
       "\t<tr><td>40</td><td>1.267857</td><td>42.189698</td><td>59.62152</td><td>74.32893</td></tr>\n",
       "\t<tr><td>41</td><td>1.267857</td><td>42.136798</td><td>55.15352</td><td>47.46304</td></tr>\n",
       "\t<tr><td>42</td><td>1.267857</td><td>26.620756</td><td>47.82586</td><td>52.95494</td></tr>\n",
       "\t<tr><td>43</td><td>1.267857</td><td> 6.820207</td><td>11.34155</td><td>11.62932</td></tr>\n",
       "\t<tr><td>44</td><td>1.267857</td><td>39.846950</td><td>58.43623</td><td>52.05877</td></tr>\n",
       "\t<tr><td>45</td><td>1.267857</td><td>27.787943</td><td>48.61180</td><td>43.16880</td></tr>\n",
       "\t<tr><td>46</td><td>1.267857</td><td>35.182311</td><td>48.64727</td><td>50.24271</td></tr>\n",
       "\t<tr><td>47</td><td>1.267857</td><td>38.448371</td><td>71.85541</td><td>57.21477</td></tr>\n",
       "\t<tr><td>48</td><td>1.267857</td><td>34.557186</td><td>62.02840</td><td>62.75390</td></tr>\n",
       "\t<tr><td>49</td><td>1.267857</td><td>34.092329</td><td>47.89400</td><td>40.72870</td></tr>\n",
       "\t<tr><td>50</td><td>1.267857</td><td>42.058785</td><td>66.67684</td><td>67.94982</td></tr>\n",
       "\t<tr><td>51</td><td>1.267857</td><td>29.516998</td><td>62.33058</td><td>63.25708</td></tr>\n",
       "\t<tr><td>52</td><td>1.272727</td><td>46.249246</td><td>33.45417</td><td>16.78825</td></tr>\n",
       "\t<tr><td>53</td><td>1.254545</td><td>46.460700</td><td>75.49609</td><td>65.58809</td></tr>\n",
       "\t<tr><td>54</td><td>1.254545</td><td>28.858946</td><td>52.77398</td><td>51.31810</td></tr>\n",
       "\t<tr><td>55</td><td>1.240741</td><td>25.121483</td><td>29.17354</td><td>20.92058</td></tr>\n",
       "\t<tr><td>56</td><td>1.333333</td><td>37.655035</td><td>59.26221</td><td>66.07742</td></tr>\n",
       "\t<tr><td>57</td><td>1.267857</td><td>37.050263</td><td>43.70477</td><td>48.78524</td></tr>\n",
       "\t<tr><td>58</td><td>1.259259</td><td>41.828466</td><td>69.74460</td><td>62.77043</td></tr>\n",
       "\t<tr><td>59</td><td>1.290909</td><td>24.344810</td><td>51.66861</td><td>43.96231</td></tr>\n",
       "\t<tr><td>60</td><td>1.314815</td><td>39.528503</td><td>46.62174</td><td>43.68916</td></tr>\n",
       "\t<tr><td>61</td><td>1.290909</td><td>33.332458</td><td>59.27638</td><td>60.56291</td></tr>\n",
       "\t<tr><td>62</td><td>1.264151</td><td>37.268787</td><td>42.64947</td><td>35.68599</td></tr>\n",
       "\t<tr><td>63</td><td>1.240741</td><td>35.220827</td><td>59.57322</td><td>61.60369</td></tr>\n",
       "\t<tr><td>64</td><td>1.313725</td><td>27.784087</td><td>60.02939</td><td>52.51056</td></tr>\n",
       "\t<tr><td>65</td><td>1.254545</td><td>32.413860</td><td>49.45075</td><td>40.05992</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 65 × 5\n",
       "\\begin{tabular}{lllll}\n",
       " Group.1 & trial\\_type & error\\_start\\_RouteA & error\\_target\\_RouteA & error\\_start\\_RouteB\\\\\n",
       " <int> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t  1 & 1.267857 & 19.78113 & 28.67941 & 20.309270\\\\\n",
       "\t  2 & 1.267857 & 27.25540 & 28.84310 & 27.476587\\\\\n",
       "\t  3 & 1.267857 & 25.08009 & 48.14568 & 42.366709\\\\\n",
       "\t  4 & 1.267857 & 29.65694 & 27.67370 & 20.653024\\\\\n",
       "\t  5 & 1.267857 & 27.21885 & 49.21212 & 43.767034\\\\\n",
       "\t  6 & 1.267857 & 34.13608 & 52.75195 & 40.701161\\\\\n",
       "\t  7 & 1.267857 & 22.29536 & 44.46375 & 36.992285\\\\\n",
       "\t  8 & 1.267857 & 44.21325 & 63.79064 & 50.371065\\\\\n",
       "\t  9 & 1.267857 & 37.61004 & 55.89559 & 46.190677\\\\\n",
       "\t 10 & 1.267857 & 46.35503 & 62.59099 & 57.310572\\\\\n",
       "\t 11 & 1.267857 & 39.89112 & 50.86219 & 53.969643\\\\\n",
       "\t 12 & 1.267857 & 31.28554 & 56.61508 & 50.848492\\\\\n",
       "\t 13 & 1.267857 & 35.82925 & 64.43335 & 60.257595\\\\\n",
       "\t 14 & 1.267857 & 37.41291 & 63.55189 & 58.868605\\\\\n",
       "\t 15 & 1.267857 & 39.16316 & 58.43201 & 43.632722\\\\\n",
       "\t 16 & 1.267857 & 22.49092 & 22.47940 & 15.307694\\\\\n",
       "\t 17 & 1.267857 & 45.34423 & 68.78656 & 64.669987\\\\\n",
       "\t 18 & 1.267857 & 21.78126 & 54.24455 & 48.828426\\\\\n",
       "\t 19 & 1.267857 & 43.94544 & 58.45430 & 44.665600\\\\\n",
       "\t 20 & 1.267857 & 31.85720 & 48.87499 & 46.798036\\\\\n",
       "\t 21 & 1.267857 & 34.75982 & 53.63696 & 61.052217\\\\\n",
       "\t 22 & 1.267857 & 28.10023 & 29.21999 & 24.905342\\\\\n",
       "\t 23 & 1.267857 & 25.32889 & 56.17313 & 49.650131\\\\\n",
       "\t 24 & 1.267857 & 33.07057 & 66.08919 & 58.247610\\\\\n",
       "\t 25 & 1.267857 & 37.76242 & 67.32999 & 56.652070\\\\\n",
       "\t 26 & 1.267857 & 26.65461 & 39.34231 & 34.157217\\\\\n",
       "\t 27 & 1.267857 & 22.28916 & 16.22373 &  9.360554\\\\\n",
       "\t 28 & 1.267857 & 49.30908 & 69.03457 & 70.143012\\\\\n",
       "\t 29 & 1.267857 & 23.49627 & 33.37772 & 33.436830\\\\\n",
       "\t 30 & 1.267857 & 39.62590 & 52.30466 & 42.058595\\\\\n",
       "\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t 36 & 1.267857 & 34.763249 & 31.21050 & 26.53099\\\\\n",
       "\t 37 & 1.267857 & 39.218645 & 46.15732 & 35.94103\\\\\n",
       "\t 38 & 1.267857 & 41.967547 & 48.20922 & 41.78377\\\\\n",
       "\t 39 & 1.267857 & 33.095246 & 47.46942 & 51.85340\\\\\n",
       "\t 40 & 1.267857 & 42.189698 & 59.62152 & 74.32893\\\\\n",
       "\t 41 & 1.267857 & 42.136798 & 55.15352 & 47.46304\\\\\n",
       "\t 42 & 1.267857 & 26.620756 & 47.82586 & 52.95494\\\\\n",
       "\t 43 & 1.267857 &  6.820207 & 11.34155 & 11.62932\\\\\n",
       "\t 44 & 1.267857 & 39.846950 & 58.43623 & 52.05877\\\\\n",
       "\t 45 & 1.267857 & 27.787943 & 48.61180 & 43.16880\\\\\n",
       "\t 46 & 1.267857 & 35.182311 & 48.64727 & 50.24271\\\\\n",
       "\t 47 & 1.267857 & 38.448371 & 71.85541 & 57.21477\\\\\n",
       "\t 48 & 1.267857 & 34.557186 & 62.02840 & 62.75390\\\\\n",
       "\t 49 & 1.267857 & 34.092329 & 47.89400 & 40.72870\\\\\n",
       "\t 50 & 1.267857 & 42.058785 & 66.67684 & 67.94982\\\\\n",
       "\t 51 & 1.267857 & 29.516998 & 62.33058 & 63.25708\\\\\n",
       "\t 52 & 1.272727 & 46.249246 & 33.45417 & 16.78825\\\\\n",
       "\t 53 & 1.254545 & 46.460700 & 75.49609 & 65.58809\\\\\n",
       "\t 54 & 1.254545 & 28.858946 & 52.77398 & 51.31810\\\\\n",
       "\t 55 & 1.240741 & 25.121483 & 29.17354 & 20.92058\\\\\n",
       "\t 56 & 1.333333 & 37.655035 & 59.26221 & 66.07742\\\\\n",
       "\t 57 & 1.267857 & 37.050263 & 43.70477 & 48.78524\\\\\n",
       "\t 58 & 1.259259 & 41.828466 & 69.74460 & 62.77043\\\\\n",
       "\t 59 & 1.290909 & 24.344810 & 51.66861 & 43.96231\\\\\n",
       "\t 60 & 1.314815 & 39.528503 & 46.62174 & 43.68916\\\\\n",
       "\t 61 & 1.290909 & 33.332458 & 59.27638 & 60.56291\\\\\n",
       "\t 62 & 1.264151 & 37.268787 & 42.64947 & 35.68599\\\\\n",
       "\t 63 & 1.240741 & 35.220827 & 59.57322 & 61.60369\\\\\n",
       "\t 64 & 1.313725 & 27.784087 & 60.02939 & 52.51056\\\\\n",
       "\t 65 & 1.254545 & 32.413860 & 49.45075 & 40.05992\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 65 × 5\n",
       "\n",
       "| Group.1 &lt;int&gt; | trial_type &lt;dbl&gt; | error_start_RouteA &lt;dbl&gt; | error_target_RouteA &lt;dbl&gt; | error_start_RouteB &lt;dbl&gt; |\n",
       "|---|---|---|---|---|\n",
       "|  1 | 1.267857 | 19.78113 | 28.67941 | 20.309270 |\n",
       "|  2 | 1.267857 | 27.25540 | 28.84310 | 27.476587 |\n",
       "|  3 | 1.267857 | 25.08009 | 48.14568 | 42.366709 |\n",
       "|  4 | 1.267857 | 29.65694 | 27.67370 | 20.653024 |\n",
       "|  5 | 1.267857 | 27.21885 | 49.21212 | 43.767034 |\n",
       "|  6 | 1.267857 | 34.13608 | 52.75195 | 40.701161 |\n",
       "|  7 | 1.267857 | 22.29536 | 44.46375 | 36.992285 |\n",
       "|  8 | 1.267857 | 44.21325 | 63.79064 | 50.371065 |\n",
       "|  9 | 1.267857 | 37.61004 | 55.89559 | 46.190677 |\n",
       "| 10 | 1.267857 | 46.35503 | 62.59099 | 57.310572 |\n",
       "| 11 | 1.267857 | 39.89112 | 50.86219 | 53.969643 |\n",
       "| 12 | 1.267857 | 31.28554 | 56.61508 | 50.848492 |\n",
       "| 13 | 1.267857 | 35.82925 | 64.43335 | 60.257595 |\n",
       "| 14 | 1.267857 | 37.41291 | 63.55189 | 58.868605 |\n",
       "| 15 | 1.267857 | 39.16316 | 58.43201 | 43.632722 |\n",
       "| 16 | 1.267857 | 22.49092 | 22.47940 | 15.307694 |\n",
       "| 17 | 1.267857 | 45.34423 | 68.78656 | 64.669987 |\n",
       "| 18 | 1.267857 | 21.78126 | 54.24455 | 48.828426 |\n",
       "| 19 | 1.267857 | 43.94544 | 58.45430 | 44.665600 |\n",
       "| 20 | 1.267857 | 31.85720 | 48.87499 | 46.798036 |\n",
       "| 21 | 1.267857 | 34.75982 | 53.63696 | 61.052217 |\n",
       "| 22 | 1.267857 | 28.10023 | 29.21999 | 24.905342 |\n",
       "| 23 | 1.267857 | 25.32889 | 56.17313 | 49.650131 |\n",
       "| 24 | 1.267857 | 33.07057 | 66.08919 | 58.247610 |\n",
       "| 25 | 1.267857 | 37.76242 | 67.32999 | 56.652070 |\n",
       "| 26 | 1.267857 | 26.65461 | 39.34231 | 34.157217 |\n",
       "| 27 | 1.267857 | 22.28916 | 16.22373 |  9.360554 |\n",
       "| 28 | 1.267857 | 49.30908 | 69.03457 | 70.143012 |\n",
       "| 29 | 1.267857 | 23.49627 | 33.37772 | 33.436830 |\n",
       "| 30 | 1.267857 | 39.62590 | 52.30466 | 42.058595 |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| 36 | 1.267857 | 34.763249 | 31.21050 | 26.53099 |\n",
       "| 37 | 1.267857 | 39.218645 | 46.15732 | 35.94103 |\n",
       "| 38 | 1.267857 | 41.967547 | 48.20922 | 41.78377 |\n",
       "| 39 | 1.267857 | 33.095246 | 47.46942 | 51.85340 |\n",
       "| 40 | 1.267857 | 42.189698 | 59.62152 | 74.32893 |\n",
       "| 41 | 1.267857 | 42.136798 | 55.15352 | 47.46304 |\n",
       "| 42 | 1.267857 | 26.620756 | 47.82586 | 52.95494 |\n",
       "| 43 | 1.267857 |  6.820207 | 11.34155 | 11.62932 |\n",
       "| 44 | 1.267857 | 39.846950 | 58.43623 | 52.05877 |\n",
       "| 45 | 1.267857 | 27.787943 | 48.61180 | 43.16880 |\n",
       "| 46 | 1.267857 | 35.182311 | 48.64727 | 50.24271 |\n",
       "| 47 | 1.267857 | 38.448371 | 71.85541 | 57.21477 |\n",
       "| 48 | 1.267857 | 34.557186 | 62.02840 | 62.75390 |\n",
       "| 49 | 1.267857 | 34.092329 | 47.89400 | 40.72870 |\n",
       "| 50 | 1.267857 | 42.058785 | 66.67684 | 67.94982 |\n",
       "| 51 | 1.267857 | 29.516998 | 62.33058 | 63.25708 |\n",
       "| 52 | 1.272727 | 46.249246 | 33.45417 | 16.78825 |\n",
       "| 53 | 1.254545 | 46.460700 | 75.49609 | 65.58809 |\n",
       "| 54 | 1.254545 | 28.858946 | 52.77398 | 51.31810 |\n",
       "| 55 | 1.240741 | 25.121483 | 29.17354 | 20.92058 |\n",
       "| 56 | 1.333333 | 37.655035 | 59.26221 | 66.07742 |\n",
       "| 57 | 1.267857 | 37.050263 | 43.70477 | 48.78524 |\n",
       "| 58 | 1.259259 | 41.828466 | 69.74460 | 62.77043 |\n",
       "| 59 | 1.290909 | 24.344810 | 51.66861 | 43.96231 |\n",
       "| 60 | 1.314815 | 39.528503 | 46.62174 | 43.68916 |\n",
       "| 61 | 1.290909 | 33.332458 | 59.27638 | 60.56291 |\n",
       "| 62 | 1.264151 | 37.268787 | 42.64947 | 35.68599 |\n",
       "| 63 | 1.240741 | 35.220827 | 59.57322 | 61.60369 |\n",
       "| 64 | 1.313725 | 27.784087 | 60.02939 | 52.51056 |\n",
       "| 65 | 1.254545 | 32.413860 | 49.45075 | 40.05992 |\n",
       "\n"
      ],
      "text/plain": [
       "   Group.1 trial_type error_start_RouteA error_target_RouteA error_start_RouteB\n",
       "1   1      1.267857   19.78113           28.67941            20.309270         \n",
       "2   2      1.267857   27.25540           28.84310            27.476587         \n",
       "3   3      1.267857   25.08009           48.14568            42.366709         \n",
       "4   4      1.267857   29.65694           27.67370            20.653024         \n",
       "5   5      1.267857   27.21885           49.21212            43.767034         \n",
       "6   6      1.267857   34.13608           52.75195            40.701161         \n",
       "7   7      1.267857   22.29536           44.46375            36.992285         \n",
       "8   8      1.267857   44.21325           63.79064            50.371065         \n",
       "9   9      1.267857   37.61004           55.89559            46.190677         \n",
       "10 10      1.267857   46.35503           62.59099            57.310572         \n",
       "11 11      1.267857   39.89112           50.86219            53.969643         \n",
       "12 12      1.267857   31.28554           56.61508            50.848492         \n",
       "13 13      1.267857   35.82925           64.43335            60.257595         \n",
       "14 14      1.267857   37.41291           63.55189            58.868605         \n",
       "15 15      1.267857   39.16316           58.43201            43.632722         \n",
       "16 16      1.267857   22.49092           22.47940            15.307694         \n",
       "17 17      1.267857   45.34423           68.78656            64.669987         \n",
       "18 18      1.267857   21.78126           54.24455            48.828426         \n",
       "19 19      1.267857   43.94544           58.45430            44.665600         \n",
       "20 20      1.267857   31.85720           48.87499            46.798036         \n",
       "21 21      1.267857   34.75982           53.63696            61.052217         \n",
       "22 22      1.267857   28.10023           29.21999            24.905342         \n",
       "23 23      1.267857   25.32889           56.17313            49.650131         \n",
       "24 24      1.267857   33.07057           66.08919            58.247610         \n",
       "25 25      1.267857   37.76242           67.32999            56.652070         \n",
       "26 26      1.267857   26.65461           39.34231            34.157217         \n",
       "27 27      1.267857   22.28916           16.22373             9.360554         \n",
       "28 28      1.267857   49.30908           69.03457            70.143012         \n",
       "29 29      1.267857   23.49627           33.37772            33.436830         \n",
       "30 30      1.267857   39.62590           52.30466            42.058595         \n",
       "⋮  ⋮       ⋮          ⋮                  ⋮                   ⋮                 \n",
       "36 36      1.267857   34.763249          31.21050            26.53099          \n",
       "37 37      1.267857   39.218645          46.15732            35.94103          \n",
       "38 38      1.267857   41.967547          48.20922            41.78377          \n",
       "39 39      1.267857   33.095246          47.46942            51.85340          \n",
       "40 40      1.267857   42.189698          59.62152            74.32893          \n",
       "41 41      1.267857   42.136798          55.15352            47.46304          \n",
       "42 42      1.267857   26.620756          47.82586            52.95494          \n",
       "43 43      1.267857    6.820207          11.34155            11.62932          \n",
       "44 44      1.267857   39.846950          58.43623            52.05877          \n",
       "45 45      1.267857   27.787943          48.61180            43.16880          \n",
       "46 46      1.267857   35.182311          48.64727            50.24271          \n",
       "47 47      1.267857   38.448371          71.85541            57.21477          \n",
       "48 48      1.267857   34.557186          62.02840            62.75390          \n",
       "49 49      1.267857   34.092329          47.89400            40.72870          \n",
       "50 50      1.267857   42.058785          66.67684            67.94982          \n",
       "51 51      1.267857   29.516998          62.33058            63.25708          \n",
       "52 52      1.272727   46.249246          33.45417            16.78825          \n",
       "53 53      1.254545   46.460700          75.49609            65.58809          \n",
       "54 54      1.254545   28.858946          52.77398            51.31810          \n",
       "55 55      1.240741   25.121483          29.17354            20.92058          \n",
       "56 56      1.333333   37.655035          59.26221            66.07742          \n",
       "57 57      1.267857   37.050263          43.70477            48.78524          \n",
       "58 58      1.259259   41.828466          69.74460            62.77043          \n",
       "59 59      1.290909   24.344810          51.66861            43.96231          \n",
       "60 60      1.314815   39.528503          46.62174            43.68916          \n",
       "61 61      1.290909   33.332458          59.27638            60.56291          \n",
       "62 62      1.264151   37.268787          42.64947            35.68599          \n",
       "63 63      1.240741   35.220827          59.57322            61.60369          \n",
       "64 64      1.313725   27.784087          60.02939            52.51056          \n",
       "65 65      1.254545   32.413860          49.45075            40.05992          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MeanStartTargetErrors <- aggregate(AllPointingData[, 25:28], list(AllPointingData$participant), mean,  na.rm=TRUE, na.action=NULL)\n",
    "#View(MeanStartTargetErrors)\n",
    "MeanStartTargetErrors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "404395a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "MeanErrors <- cbind(MeanAbsError,MeanStartTargetErrors[,2:5]) # OK, good the mean errors are reproducible with what we have in the BySubs file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "d4e24003",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 65 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>participant2</th><th scope=col>abs_error</th><th scope=col>trial_type</th><th scope=col>error_start_RouteA</th><th scope=col>error_target_RouteA</th><th scope=col>error_start_RouteB</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 1</td><td>20.04520</td><td>1.267857</td><td>19.78113</td><td>28.67941</td><td>20.309270</td></tr>\n",
       "\t<tr><td> 2</td><td>27.36599</td><td>1.267857</td><td>27.25540</td><td>28.84310</td><td>27.476587</td></tr>\n",
       "\t<tr><td> 3</td><td>33.72340</td><td>1.267857</td><td>25.08009</td><td>48.14568</td><td>42.366709</td></tr>\n",
       "\t<tr><td> 4</td><td>25.15498</td><td>1.267857</td><td>29.65694</td><td>27.67370</td><td>20.653024</td></tr>\n",
       "\t<tr><td> 5</td><td>35.49294</td><td>1.267857</td><td>27.21885</td><td>49.21212</td><td>43.767034</td></tr>\n",
       "\t<tr><td> 6</td><td>37.41862</td><td>1.267857</td><td>34.13608</td><td>52.75195</td><td>40.701161</td></tr>\n",
       "\t<tr><td> 7</td><td>29.64382</td><td>1.267857</td><td>22.29536</td><td>44.46375</td><td>36.992285</td></tr>\n",
       "\t<tr><td> 8</td><td>47.29216</td><td>1.267857</td><td>44.21325</td><td>63.79064</td><td>50.371065</td></tr>\n",
       "\t<tr><td> 9</td><td>41.90036</td><td>1.267857</td><td>37.61004</td><td>55.89559</td><td>46.190677</td></tr>\n",
       "\t<tr><td>10</td><td>51.83280</td><td>1.267857</td><td>46.35503</td><td>62.59099</td><td>57.310572</td></tr>\n",
       "\t<tr><td>11</td><td>46.93038</td><td>1.267857</td><td>39.89112</td><td>50.86219</td><td>53.969643</td></tr>\n",
       "\t<tr><td>12</td><td>41.06701</td><td>1.267857</td><td>31.28554</td><td>56.61508</td><td>50.848492</td></tr>\n",
       "\t<tr><td>13</td><td>48.04342</td><td>1.267857</td><td>35.82925</td><td>64.43335</td><td>60.257595</td></tr>\n",
       "\t<tr><td>14</td><td>48.14076</td><td>1.267857</td><td>37.41291</td><td>63.55189</td><td>58.868605</td></tr>\n",
       "\t<tr><td>15</td><td>41.39794</td><td>1.267857</td><td>39.16316</td><td>58.43201</td><td>43.632722</td></tr>\n",
       "\t<tr><td>16</td><td>18.89931</td><td>1.267857</td><td>22.49092</td><td>22.47940</td><td>15.307694</td></tr>\n",
       "\t<tr><td>17</td><td>55.00711</td><td>1.267857</td><td>45.34423</td><td>68.78656</td><td>64.669987</td></tr>\n",
       "\t<tr><td>18</td><td>35.30484</td><td>1.267857</td><td>21.78126</td><td>54.24455</td><td>48.828426</td></tr>\n",
       "\t<tr><td>19</td><td>44.30552</td><td>1.267857</td><td>43.94544</td><td>58.45430</td><td>44.665600</td></tr>\n",
       "\t<tr><td>20</td><td>39.32762</td><td>1.267857</td><td>31.85720</td><td>48.87499</td><td>46.798036</td></tr>\n",
       "\t<tr><td>21</td><td>47.90602</td><td>1.267857</td><td>34.75982</td><td>53.63696</td><td>61.052217</td></tr>\n",
       "\t<tr><td>22</td><td>26.50279</td><td>1.267857</td><td>28.10023</td><td>29.21999</td><td>24.905342</td></tr>\n",
       "\t<tr><td>23</td><td>37.48951</td><td>1.267857</td><td>25.32889</td><td>56.17313</td><td>49.650131</td></tr>\n",
       "\t<tr><td>24</td><td>45.65909</td><td>1.267857</td><td>33.07057</td><td>66.08919</td><td>58.247610</td></tr>\n",
       "\t<tr><td>25</td><td>47.20724</td><td>1.267857</td><td>37.76242</td><td>67.32999</td><td>56.652070</td></tr>\n",
       "\t<tr><td>26</td><td>30.40591</td><td>1.267857</td><td>26.65461</td><td>39.34231</td><td>34.157217</td></tr>\n",
       "\t<tr><td>27</td><td>15.82486</td><td>1.267857</td><td>22.28916</td><td>16.22373</td><td> 9.360554</td></tr>\n",
       "\t<tr><td>28</td><td>59.72605</td><td>1.267857</td><td>49.30908</td><td>69.03457</td><td>70.143012</td></tr>\n",
       "\t<tr><td>29</td><td>28.46655</td><td>1.267857</td><td>23.49627</td><td>33.37772</td><td>33.436830</td></tr>\n",
       "\t<tr><td>30</td><td>40.84225</td><td>1.267857</td><td>39.62590</td><td>52.30466</td><td>42.058595</td></tr>\n",
       "\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><td>36</td><td>30.647120</td><td>1.267857</td><td>34.763249</td><td>31.21050</td><td>26.53099</td></tr>\n",
       "\t<tr><td>37</td><td>37.579835</td><td>1.267857</td><td>39.218645</td><td>46.15732</td><td>35.94103</td></tr>\n",
       "\t<tr><td>38</td><td>41.875656</td><td>1.267857</td><td>41.967547</td><td>48.20922</td><td>41.78377</td></tr>\n",
       "\t<tr><td>39</td><td>42.474321</td><td>1.267857</td><td>33.095246</td><td>47.46942</td><td>51.85340</td></tr>\n",
       "\t<tr><td>40</td><td>58.259316</td><td>1.267857</td><td>42.189698</td><td>59.62152</td><td>74.32893</td></tr>\n",
       "\t<tr><td>41</td><td>44.799918</td><td>1.267857</td><td>42.136798</td><td>55.15352</td><td>47.46304</td></tr>\n",
       "\t<tr><td>42</td><td>39.787849</td><td>1.267857</td><td>26.620756</td><td>47.82586</td><td>52.95494</td></tr>\n",
       "\t<tr><td>43</td><td> 9.224763</td><td>1.267857</td><td> 6.820207</td><td>11.34155</td><td>11.62932</td></tr>\n",
       "\t<tr><td>44</td><td>45.952859</td><td>1.267857</td><td>39.846950</td><td>58.43623</td><td>52.05877</td></tr>\n",
       "\t<tr><td>45</td><td>35.478371</td><td>1.267857</td><td>27.787943</td><td>48.61180</td><td>43.16880</td></tr>\n",
       "\t<tr><td>46</td><td>42.712510</td><td>1.267857</td><td>35.182311</td><td>48.64727</td><td>50.24271</td></tr>\n",
       "\t<tr><td>47</td><td>47.831571</td><td>1.267857</td><td>38.448371</td><td>71.85541</td><td>57.21477</td></tr>\n",
       "\t<tr><td>48</td><td>48.655541</td><td>1.267857</td><td>34.557186</td><td>62.02840</td><td>62.75390</td></tr>\n",
       "\t<tr><td>49</td><td>37.410517</td><td>1.267857</td><td>34.092329</td><td>47.89400</td><td>40.72870</td></tr>\n",
       "\t<tr><td>50</td><td>55.004304</td><td>1.267857</td><td>42.058785</td><td>66.67684</td><td>67.94982</td></tr>\n",
       "\t<tr><td>51</td><td>46.387038</td><td>1.267857</td><td>29.516998</td><td>62.33058</td><td>63.25708</td></tr>\n",
       "\t<tr><td>52</td><td>31.250921</td><td>1.272727</td><td>46.249246</td><td>33.45417</td><td>16.78825</td></tr>\n",
       "\t<tr><td>53</td><td>56.198280</td><td>1.254545</td><td>46.460700</td><td>75.49609</td><td>65.58809</td></tr>\n",
       "\t<tr><td>54</td><td>40.292698</td><td>1.254545</td><td>28.858946</td><td>52.77398</td><td>51.31810</td></tr>\n",
       "\t<tr><td>55</td><td>23.021031</td><td>1.240741</td><td>25.121483</td><td>29.17354</td><td>20.92058</td></tr>\n",
       "\t<tr><td>56</td><td>51.030277</td><td>1.333333</td><td>37.655035</td><td>59.26221</td><td>66.07742</td></tr>\n",
       "\t<tr><td>57</td><td>42.917749</td><td>1.267857</td><td>37.050263</td><td>43.70477</td><td>48.78524</td></tr>\n",
       "\t<tr><td>58</td><td>52.687264</td><td>1.259259</td><td>41.828466</td><td>69.74460</td><td>62.77043</td></tr>\n",
       "\t<tr><td>59</td><td>34.331903</td><td>1.290909</td><td>24.344810</td><td>51.66861</td><td>43.96231</td></tr>\n",
       "\t<tr><td>60</td><td>41.608829</td><td>1.314815</td><td>39.528503</td><td>46.62174</td><td>43.68916</td></tr>\n",
       "\t<tr><td>61</td><td>47.195234</td><td>1.290909</td><td>33.332458</td><td>59.27638</td><td>60.56291</td></tr>\n",
       "\t<tr><td>62</td><td>36.432592</td><td>1.264151</td><td>37.268787</td><td>42.64947</td><td>35.68599</td></tr>\n",
       "\t<tr><td>63</td><td>48.900828</td><td>1.240741</td><td>35.220827</td><td>59.57322</td><td>61.60369</td></tr>\n",
       "\t<tr><td>64</td><td>40.874570</td><td>1.313725</td><td>27.784087</td><td>60.02939</td><td>52.51056</td></tr>\n",
       "\t<tr><td>65</td><td>36.306398</td><td>1.254545</td><td>32.413860</td><td>49.45075</td><td>40.05992</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 65 × 6\n",
       "\\begin{tabular}{llllll}\n",
       " participant2 & abs\\_error & trial\\_type & error\\_start\\_RouteA & error\\_target\\_RouteA & error\\_start\\_RouteB\\\\\n",
       " <int> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t  1 & 20.04520 & 1.267857 & 19.78113 & 28.67941 & 20.309270\\\\\n",
       "\t  2 & 27.36599 & 1.267857 & 27.25540 & 28.84310 & 27.476587\\\\\n",
       "\t  3 & 33.72340 & 1.267857 & 25.08009 & 48.14568 & 42.366709\\\\\n",
       "\t  4 & 25.15498 & 1.267857 & 29.65694 & 27.67370 & 20.653024\\\\\n",
       "\t  5 & 35.49294 & 1.267857 & 27.21885 & 49.21212 & 43.767034\\\\\n",
       "\t  6 & 37.41862 & 1.267857 & 34.13608 & 52.75195 & 40.701161\\\\\n",
       "\t  7 & 29.64382 & 1.267857 & 22.29536 & 44.46375 & 36.992285\\\\\n",
       "\t  8 & 47.29216 & 1.267857 & 44.21325 & 63.79064 & 50.371065\\\\\n",
       "\t  9 & 41.90036 & 1.267857 & 37.61004 & 55.89559 & 46.190677\\\\\n",
       "\t 10 & 51.83280 & 1.267857 & 46.35503 & 62.59099 & 57.310572\\\\\n",
       "\t 11 & 46.93038 & 1.267857 & 39.89112 & 50.86219 & 53.969643\\\\\n",
       "\t 12 & 41.06701 & 1.267857 & 31.28554 & 56.61508 & 50.848492\\\\\n",
       "\t 13 & 48.04342 & 1.267857 & 35.82925 & 64.43335 & 60.257595\\\\\n",
       "\t 14 & 48.14076 & 1.267857 & 37.41291 & 63.55189 & 58.868605\\\\\n",
       "\t 15 & 41.39794 & 1.267857 & 39.16316 & 58.43201 & 43.632722\\\\\n",
       "\t 16 & 18.89931 & 1.267857 & 22.49092 & 22.47940 & 15.307694\\\\\n",
       "\t 17 & 55.00711 & 1.267857 & 45.34423 & 68.78656 & 64.669987\\\\\n",
       "\t 18 & 35.30484 & 1.267857 & 21.78126 & 54.24455 & 48.828426\\\\\n",
       "\t 19 & 44.30552 & 1.267857 & 43.94544 & 58.45430 & 44.665600\\\\\n",
       "\t 20 & 39.32762 & 1.267857 & 31.85720 & 48.87499 & 46.798036\\\\\n",
       "\t 21 & 47.90602 & 1.267857 & 34.75982 & 53.63696 & 61.052217\\\\\n",
       "\t 22 & 26.50279 & 1.267857 & 28.10023 & 29.21999 & 24.905342\\\\\n",
       "\t 23 & 37.48951 & 1.267857 & 25.32889 & 56.17313 & 49.650131\\\\\n",
       "\t 24 & 45.65909 & 1.267857 & 33.07057 & 66.08919 & 58.247610\\\\\n",
       "\t 25 & 47.20724 & 1.267857 & 37.76242 & 67.32999 & 56.652070\\\\\n",
       "\t 26 & 30.40591 & 1.267857 & 26.65461 & 39.34231 & 34.157217\\\\\n",
       "\t 27 & 15.82486 & 1.267857 & 22.28916 & 16.22373 &  9.360554\\\\\n",
       "\t 28 & 59.72605 & 1.267857 & 49.30908 & 69.03457 & 70.143012\\\\\n",
       "\t 29 & 28.46655 & 1.267857 & 23.49627 & 33.37772 & 33.436830\\\\\n",
       "\t 30 & 40.84225 & 1.267857 & 39.62590 & 52.30466 & 42.058595\\\\\n",
       "\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t 36 & 30.647120 & 1.267857 & 34.763249 & 31.21050 & 26.53099\\\\\n",
       "\t 37 & 37.579835 & 1.267857 & 39.218645 & 46.15732 & 35.94103\\\\\n",
       "\t 38 & 41.875656 & 1.267857 & 41.967547 & 48.20922 & 41.78377\\\\\n",
       "\t 39 & 42.474321 & 1.267857 & 33.095246 & 47.46942 & 51.85340\\\\\n",
       "\t 40 & 58.259316 & 1.267857 & 42.189698 & 59.62152 & 74.32893\\\\\n",
       "\t 41 & 44.799918 & 1.267857 & 42.136798 & 55.15352 & 47.46304\\\\\n",
       "\t 42 & 39.787849 & 1.267857 & 26.620756 & 47.82586 & 52.95494\\\\\n",
       "\t 43 &  9.224763 & 1.267857 &  6.820207 & 11.34155 & 11.62932\\\\\n",
       "\t 44 & 45.952859 & 1.267857 & 39.846950 & 58.43623 & 52.05877\\\\\n",
       "\t 45 & 35.478371 & 1.267857 & 27.787943 & 48.61180 & 43.16880\\\\\n",
       "\t 46 & 42.712510 & 1.267857 & 35.182311 & 48.64727 & 50.24271\\\\\n",
       "\t 47 & 47.831571 & 1.267857 & 38.448371 & 71.85541 & 57.21477\\\\\n",
       "\t 48 & 48.655541 & 1.267857 & 34.557186 & 62.02840 & 62.75390\\\\\n",
       "\t 49 & 37.410517 & 1.267857 & 34.092329 & 47.89400 & 40.72870\\\\\n",
       "\t 50 & 55.004304 & 1.267857 & 42.058785 & 66.67684 & 67.94982\\\\\n",
       "\t 51 & 46.387038 & 1.267857 & 29.516998 & 62.33058 & 63.25708\\\\\n",
       "\t 52 & 31.250921 & 1.272727 & 46.249246 & 33.45417 & 16.78825\\\\\n",
       "\t 53 & 56.198280 & 1.254545 & 46.460700 & 75.49609 & 65.58809\\\\\n",
       "\t 54 & 40.292698 & 1.254545 & 28.858946 & 52.77398 & 51.31810\\\\\n",
       "\t 55 & 23.021031 & 1.240741 & 25.121483 & 29.17354 & 20.92058\\\\\n",
       "\t 56 & 51.030277 & 1.333333 & 37.655035 & 59.26221 & 66.07742\\\\\n",
       "\t 57 & 42.917749 & 1.267857 & 37.050263 & 43.70477 & 48.78524\\\\\n",
       "\t 58 & 52.687264 & 1.259259 & 41.828466 & 69.74460 & 62.77043\\\\\n",
       "\t 59 & 34.331903 & 1.290909 & 24.344810 & 51.66861 & 43.96231\\\\\n",
       "\t 60 & 41.608829 & 1.314815 & 39.528503 & 46.62174 & 43.68916\\\\\n",
       "\t 61 & 47.195234 & 1.290909 & 33.332458 & 59.27638 & 60.56291\\\\\n",
       "\t 62 & 36.432592 & 1.264151 & 37.268787 & 42.64947 & 35.68599\\\\\n",
       "\t 63 & 48.900828 & 1.240741 & 35.220827 & 59.57322 & 61.60369\\\\\n",
       "\t 64 & 40.874570 & 1.313725 & 27.784087 & 60.02939 & 52.51056\\\\\n",
       "\t 65 & 36.306398 & 1.254545 & 32.413860 & 49.45075 & 40.05992\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 65 × 6\n",
       "\n",
       "| participant2 &lt;int&gt; | abs_error &lt;dbl&gt; | trial_type &lt;dbl&gt; | error_start_RouteA &lt;dbl&gt; | error_target_RouteA &lt;dbl&gt; | error_start_RouteB &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "|  1 | 20.04520 | 1.267857 | 19.78113 | 28.67941 | 20.309270 |\n",
       "|  2 | 27.36599 | 1.267857 | 27.25540 | 28.84310 | 27.476587 |\n",
       "|  3 | 33.72340 | 1.267857 | 25.08009 | 48.14568 | 42.366709 |\n",
       "|  4 | 25.15498 | 1.267857 | 29.65694 | 27.67370 | 20.653024 |\n",
       "|  5 | 35.49294 | 1.267857 | 27.21885 | 49.21212 | 43.767034 |\n",
       "|  6 | 37.41862 | 1.267857 | 34.13608 | 52.75195 | 40.701161 |\n",
       "|  7 | 29.64382 | 1.267857 | 22.29536 | 44.46375 | 36.992285 |\n",
       "|  8 | 47.29216 | 1.267857 | 44.21325 | 63.79064 | 50.371065 |\n",
       "|  9 | 41.90036 | 1.267857 | 37.61004 | 55.89559 | 46.190677 |\n",
       "| 10 | 51.83280 | 1.267857 | 46.35503 | 62.59099 | 57.310572 |\n",
       "| 11 | 46.93038 | 1.267857 | 39.89112 | 50.86219 | 53.969643 |\n",
       "| 12 | 41.06701 | 1.267857 | 31.28554 | 56.61508 | 50.848492 |\n",
       "| 13 | 48.04342 | 1.267857 | 35.82925 | 64.43335 | 60.257595 |\n",
       "| 14 | 48.14076 | 1.267857 | 37.41291 | 63.55189 | 58.868605 |\n",
       "| 15 | 41.39794 | 1.267857 | 39.16316 | 58.43201 | 43.632722 |\n",
       "| 16 | 18.89931 | 1.267857 | 22.49092 | 22.47940 | 15.307694 |\n",
       "| 17 | 55.00711 | 1.267857 | 45.34423 | 68.78656 | 64.669987 |\n",
       "| 18 | 35.30484 | 1.267857 | 21.78126 | 54.24455 | 48.828426 |\n",
       "| 19 | 44.30552 | 1.267857 | 43.94544 | 58.45430 | 44.665600 |\n",
       "| 20 | 39.32762 | 1.267857 | 31.85720 | 48.87499 | 46.798036 |\n",
       "| 21 | 47.90602 | 1.267857 | 34.75982 | 53.63696 | 61.052217 |\n",
       "| 22 | 26.50279 | 1.267857 | 28.10023 | 29.21999 | 24.905342 |\n",
       "| 23 | 37.48951 | 1.267857 | 25.32889 | 56.17313 | 49.650131 |\n",
       "| 24 | 45.65909 | 1.267857 | 33.07057 | 66.08919 | 58.247610 |\n",
       "| 25 | 47.20724 | 1.267857 | 37.76242 | 67.32999 | 56.652070 |\n",
       "| 26 | 30.40591 | 1.267857 | 26.65461 | 39.34231 | 34.157217 |\n",
       "| 27 | 15.82486 | 1.267857 | 22.28916 | 16.22373 |  9.360554 |\n",
       "| 28 | 59.72605 | 1.267857 | 49.30908 | 69.03457 | 70.143012 |\n",
       "| 29 | 28.46655 | 1.267857 | 23.49627 | 33.37772 | 33.436830 |\n",
       "| 30 | 40.84225 | 1.267857 | 39.62590 | 52.30466 | 42.058595 |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| 36 | 30.647120 | 1.267857 | 34.763249 | 31.21050 | 26.53099 |\n",
       "| 37 | 37.579835 | 1.267857 | 39.218645 | 46.15732 | 35.94103 |\n",
       "| 38 | 41.875656 | 1.267857 | 41.967547 | 48.20922 | 41.78377 |\n",
       "| 39 | 42.474321 | 1.267857 | 33.095246 | 47.46942 | 51.85340 |\n",
       "| 40 | 58.259316 | 1.267857 | 42.189698 | 59.62152 | 74.32893 |\n",
       "| 41 | 44.799918 | 1.267857 | 42.136798 | 55.15352 | 47.46304 |\n",
       "| 42 | 39.787849 | 1.267857 | 26.620756 | 47.82586 | 52.95494 |\n",
       "| 43 |  9.224763 | 1.267857 |  6.820207 | 11.34155 | 11.62932 |\n",
       "| 44 | 45.952859 | 1.267857 | 39.846950 | 58.43623 | 52.05877 |\n",
       "| 45 | 35.478371 | 1.267857 | 27.787943 | 48.61180 | 43.16880 |\n",
       "| 46 | 42.712510 | 1.267857 | 35.182311 | 48.64727 | 50.24271 |\n",
       "| 47 | 47.831571 | 1.267857 | 38.448371 | 71.85541 | 57.21477 |\n",
       "| 48 | 48.655541 | 1.267857 | 34.557186 | 62.02840 | 62.75390 |\n",
       "| 49 | 37.410517 | 1.267857 | 34.092329 | 47.89400 | 40.72870 |\n",
       "| 50 | 55.004304 | 1.267857 | 42.058785 | 66.67684 | 67.94982 |\n",
       "| 51 | 46.387038 | 1.267857 | 29.516998 | 62.33058 | 63.25708 |\n",
       "| 52 | 31.250921 | 1.272727 | 46.249246 | 33.45417 | 16.78825 |\n",
       "| 53 | 56.198280 | 1.254545 | 46.460700 | 75.49609 | 65.58809 |\n",
       "| 54 | 40.292698 | 1.254545 | 28.858946 | 52.77398 | 51.31810 |\n",
       "| 55 | 23.021031 | 1.240741 | 25.121483 | 29.17354 | 20.92058 |\n",
       "| 56 | 51.030277 | 1.333333 | 37.655035 | 59.26221 | 66.07742 |\n",
       "| 57 | 42.917749 | 1.267857 | 37.050263 | 43.70477 | 48.78524 |\n",
       "| 58 | 52.687264 | 1.259259 | 41.828466 | 69.74460 | 62.77043 |\n",
       "| 59 | 34.331903 | 1.290909 | 24.344810 | 51.66861 | 43.96231 |\n",
       "| 60 | 41.608829 | 1.314815 | 39.528503 | 46.62174 | 43.68916 |\n",
       "| 61 | 47.195234 | 1.290909 | 33.332458 | 59.27638 | 60.56291 |\n",
       "| 62 | 36.432592 | 1.264151 | 37.268787 | 42.64947 | 35.68599 |\n",
       "| 63 | 48.900828 | 1.240741 | 35.220827 | 59.57322 | 61.60369 |\n",
       "| 64 | 40.874570 | 1.313725 | 27.784087 | 60.02939 | 52.51056 |\n",
       "| 65 | 36.306398 | 1.254545 | 32.413860 | 49.45075 | 40.05992 |\n",
       "\n"
      ],
      "text/plain": [
       "   participant2 abs_error trial_type error_start_RouteA error_target_RouteA\n",
       "1   1           20.04520  1.267857   19.78113           28.67941           \n",
       "2   2           27.36599  1.267857   27.25540           28.84310           \n",
       "3   3           33.72340  1.267857   25.08009           48.14568           \n",
       "4   4           25.15498  1.267857   29.65694           27.67370           \n",
       "5   5           35.49294  1.267857   27.21885           49.21212           \n",
       "6   6           37.41862  1.267857   34.13608           52.75195           \n",
       "7   7           29.64382  1.267857   22.29536           44.46375           \n",
       "8   8           47.29216  1.267857   44.21325           63.79064           \n",
       "9   9           41.90036  1.267857   37.61004           55.89559           \n",
       "10 10           51.83280  1.267857   46.35503           62.59099           \n",
       "11 11           46.93038  1.267857   39.89112           50.86219           \n",
       "12 12           41.06701  1.267857   31.28554           56.61508           \n",
       "13 13           48.04342  1.267857   35.82925           64.43335           \n",
       "14 14           48.14076  1.267857   37.41291           63.55189           \n",
       "15 15           41.39794  1.267857   39.16316           58.43201           \n",
       "16 16           18.89931  1.267857   22.49092           22.47940           \n",
       "17 17           55.00711  1.267857   45.34423           68.78656           \n",
       "18 18           35.30484  1.267857   21.78126           54.24455           \n",
       "19 19           44.30552  1.267857   43.94544           58.45430           \n",
       "20 20           39.32762  1.267857   31.85720           48.87499           \n",
       "21 21           47.90602  1.267857   34.75982           53.63696           \n",
       "22 22           26.50279  1.267857   28.10023           29.21999           \n",
       "23 23           37.48951  1.267857   25.32889           56.17313           \n",
       "24 24           45.65909  1.267857   33.07057           66.08919           \n",
       "25 25           47.20724  1.267857   37.76242           67.32999           \n",
       "26 26           30.40591  1.267857   26.65461           39.34231           \n",
       "27 27           15.82486  1.267857   22.28916           16.22373           \n",
       "28 28           59.72605  1.267857   49.30908           69.03457           \n",
       "29 29           28.46655  1.267857   23.49627           33.37772           \n",
       "30 30           40.84225  1.267857   39.62590           52.30466           \n",
       "⋮  ⋮            ⋮         ⋮          ⋮                  ⋮                  \n",
       "36 36           30.647120 1.267857   34.763249          31.21050           \n",
       "37 37           37.579835 1.267857   39.218645          46.15732           \n",
       "38 38           41.875656 1.267857   41.967547          48.20922           \n",
       "39 39           42.474321 1.267857   33.095246          47.46942           \n",
       "40 40           58.259316 1.267857   42.189698          59.62152           \n",
       "41 41           44.799918 1.267857   42.136798          55.15352           \n",
       "42 42           39.787849 1.267857   26.620756          47.82586           \n",
       "43 43            9.224763 1.267857    6.820207          11.34155           \n",
       "44 44           45.952859 1.267857   39.846950          58.43623           \n",
       "45 45           35.478371 1.267857   27.787943          48.61180           \n",
       "46 46           42.712510 1.267857   35.182311          48.64727           \n",
       "47 47           47.831571 1.267857   38.448371          71.85541           \n",
       "48 48           48.655541 1.267857   34.557186          62.02840           \n",
       "49 49           37.410517 1.267857   34.092329          47.89400           \n",
       "50 50           55.004304 1.267857   42.058785          66.67684           \n",
       "51 51           46.387038 1.267857   29.516998          62.33058           \n",
       "52 52           31.250921 1.272727   46.249246          33.45417           \n",
       "53 53           56.198280 1.254545   46.460700          75.49609           \n",
       "54 54           40.292698 1.254545   28.858946          52.77398           \n",
       "55 55           23.021031 1.240741   25.121483          29.17354           \n",
       "56 56           51.030277 1.333333   37.655035          59.26221           \n",
       "57 57           42.917749 1.267857   37.050263          43.70477           \n",
       "58 58           52.687264 1.259259   41.828466          69.74460           \n",
       "59 59           34.331903 1.290909   24.344810          51.66861           \n",
       "60 60           41.608829 1.314815   39.528503          46.62174           \n",
       "61 61           47.195234 1.290909   33.332458          59.27638           \n",
       "62 62           36.432592 1.264151   37.268787          42.64947           \n",
       "63 63           48.900828 1.240741   35.220827          59.57322           \n",
       "64 64           40.874570 1.313725   27.784087          60.02939           \n",
       "65 65           36.306398 1.254545   32.413860          49.45075           \n",
       "   error_start_RouteB\n",
       "1  20.309270         \n",
       "2  27.476587         \n",
       "3  42.366709         \n",
       "4  20.653024         \n",
       "5  43.767034         \n",
       "6  40.701161         \n",
       "7  36.992285         \n",
       "8  50.371065         \n",
       "9  46.190677         \n",
       "10 57.310572         \n",
       "11 53.969643         \n",
       "12 50.848492         \n",
       "13 60.257595         \n",
       "14 58.868605         \n",
       "15 43.632722         \n",
       "16 15.307694         \n",
       "17 64.669987         \n",
       "18 48.828426         \n",
       "19 44.665600         \n",
       "20 46.798036         \n",
       "21 61.052217         \n",
       "22 24.905342         \n",
       "23 49.650131         \n",
       "24 58.247610         \n",
       "25 56.652070         \n",
       "26 34.157217         \n",
       "27  9.360554         \n",
       "28 70.143012         \n",
       "29 33.436830         \n",
       "30 42.058595         \n",
       "⋮  ⋮                 \n",
       "36 26.53099          \n",
       "37 35.94103          \n",
       "38 41.78377          \n",
       "39 51.85340          \n",
       "40 74.32893          \n",
       "41 47.46304          \n",
       "42 52.95494          \n",
       "43 11.62932          \n",
       "44 52.05877          \n",
       "45 43.16880          \n",
       "46 50.24271          \n",
       "47 57.21477          \n",
       "48 62.75390          \n",
       "49 40.72870          \n",
       "50 67.94982          \n",
       "51 63.25708          \n",
       "52 16.78825          \n",
       "53 65.58809          \n",
       "54 51.31810          \n",
       "55 20.92058          \n",
       "56 66.07742          \n",
       "57 48.78524          \n",
       "58 62.77043          \n",
       "59 43.96231          \n",
       "60 43.68916          \n",
       "61 60.56291          \n",
       "62 35.68599          \n",
       "63 61.60369          \n",
       "64 52.51056          \n",
       "65 40.05992          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compare the computed errors in MeanErrors with those in BySubsData\n",
    "#View(MeanErrors)\n",
    "MeanErrors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "8741184a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 65 × 48</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>participant</th><th scope=col>sex</th><th scope=col>age</th><th scope=col>SBSOD_average</th><th scope=col>SBSOD_CY_average</th><th scope=col>Route_Order</th><th scope=col>RouteOrder_4</th><th scope=col>r2_Overall</th><th scope=col>r2_RouteA</th><th scope=col>r2_RouteB</th><th scope=col>⋯</th><th scope=col>error_start_routeA_SAME</th><th scope=col>error_start_routeB_SAME</th><th scope=col>error_target_routeA_SAME</th><th scope=col>error_target_routeB_SAME</th><th scope=col>error_start_RouteA_Different</th><th scope=col>error_target_RouteA_Different</th><th scope=col>error_start_RouteB_Different</th><th scope=col>error_target_RouteB_Different</th><th scope=col>low_SBSOD</th><th scope=col>high_SBSOD</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>⋯</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td> 1</td><td>1</td><td>21</td><td>3.000000</td><td>2.5</td><td>1</td><td>1</td><td>0.945822</td><td>0.826816</td><td>0.956720</td><td>⋯</td><td>25.72205</td><td> 6.191736</td><td>25.72205</td><td> 6.191736</td><td>19.78113</td><td>28.67941</td><td>20.309270</td><td>11.41099</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>35</th><td> 2</td><td>2</td><td>23</td><td>5.533333</td><td>5.2</td><td>1</td><td>2</td><td>0.146714</td><td>0.666080</td><td>0.778289</td><td>⋯</td><td>13.86284</td><td>10.674301</td><td>13.86284</td><td>10.674301</td><td>27.25540</td><td>28.84311</td><td>27.476587</td><td>25.88888</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>36</th><td> 3</td><td>1</td><td>21</td><td>4.533333</td><td>4.6</td><td>2</td><td>3</td><td>0.282986</td><td>0.554284</td><td>0.333108</td><td>⋯</td><td>25.25847</td><td>11.774200</td><td>25.25847</td><td>11.774200</td><td>25.08009</td><td>48.14568</td><td>42.366709</td><td>19.30112</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>37</th><td> 4</td><td>1</td><td>18</td><td>4.400000</td><td>4.8</td><td>2</td><td>4</td><td>0.361452</td><td>0.388110</td><td>0.915188</td><td>⋯</td><td>23.92846</td><td> 7.546892</td><td>23.92846</td><td> 7.546892</td><td>29.65694</td><td>27.67370</td><td>20.653024</td><td>22.63626</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>2</th><td> 5</td><td>1</td><td>22</td><td>4.066667</td><td>4.2</td><td>1</td><td>1</td><td>0.505958</td><td>0.418005</td><td>0.956754</td><td>⋯</td><td>25.85940</td><td>13.154199</td><td>25.85940</td><td>13.154199</td><td>27.21885</td><td>49.21212</td><td>43.767034</td><td>21.77377</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>38</th><td> 6</td><td>1</td><td>21</td><td>4.533333</td><td>5.3</td><td>1</td><td>2</td><td>0.382166</td><td>0.475093</td><td>0.710581</td><td>⋯</td><td>33.46825</td><td> 5.349743</td><td>33.46825</td><td> 5.349743</td><td>34.13608</td><td>52.75195</td><td>40.701161</td><td>22.08529</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>39</th><td> 7</td><td>1</td><td>23</td><td>5.000000</td><td>5.1</td><td>2</td><td>3</td><td>0.297213</td><td>0.334312</td><td>0.706555</td><td>⋯</td><td>24.20417</td><td> 6.770745</td><td>24.20417</td><td> 6.770745</td><td>22.29536</td><td>44.46375</td><td>36.992285</td><td>14.82390</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>3</th><td> 8</td><td>1</td><td>21</td><td>3.533333</td><td>4.4</td><td>2</td><td>4</td><td>0.941772</td><td>0.597372</td><td>0.390829</td><td>⋯</td><td>45.90709</td><td>14.594749</td><td>45.90709</td><td>14.594749</td><td>44.21325</td><td>63.79064</td><td>50.371065</td><td>30.79368</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>4</th><td> 9</td><td>1</td><td>31</td><td>4.733333</td><td>4.5</td><td>1</td><td>1</td><td>0.169934</td><td>0.431045</td><td>0.250685</td><td>⋯</td><td>38.37047</td><td>15.725679</td><td>38.37047</td><td>15.725679</td><td>37.61004</td><td>55.89559</td><td>46.190677</td><td>27.90513</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>10</td><td>1</td><td>19</td><td>3.933333</td><td>4.1</td><td>1</td><td>2</td><td>0.170237</td><td>0.662662</td><td>0.104487</td><td>⋯</td><td>44.82641</td><td>32.505434</td><td>44.82641</td><td>32.505434</td><td>46.35503</td><td>62.59099</td><td>57.310572</td><td>41.07461</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>11</td><td>1</td><td>22</td><td>3.400000</td><td>3.7</td><td>2</td><td>3</td><td>0.670268</td><td>0.265635</td><td>0.248272</td><td>⋯</td><td>35.64581</td><td>42.896540</td><td>35.64581</td><td>42.896540</td><td>39.89112</td><td>50.86219</td><td>53.969643</td><td>42.99858</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>40</th><td>12</td><td>2</td><td>25</td><td>5.000000</td><td>5.1</td><td>2</td><td>4</td><td>0.290037</td><td>0.639134</td><td>0.883501</td><td>⋯</td><td>21.62446</td><td> 8.169082</td><td>21.62446</td><td> 8.169082</td><td>31.28554</td><td>56.61508</td><td>50.848492</td><td>25.51895</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>13</td><td>1</td><td>21</td><td>3.400000</td><td>3.7</td><td>1</td><td>1</td><td>0.140301</td><td>0.623992</td><td>0.013201</td><td>⋯</td><td>28.59036</td><td>18.846923</td><td>28.59036</td><td>18.846923</td><td>35.82925</td><td>64.43335</td><td>60.257595</td><td>31.65349</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>41</th><td>14</td><td>1</td><td>20</td><td>5.000000</td><td>5.1</td><td>1</td><td>2</td><td>0.381509</td><td>0.792664</td><td>0.890269</td><td>⋯</td><td>48.58003</td><td>37.652355</td><td>48.58003</td><td>37.652355</td><td>37.41291</td><td>63.55189</td><td>58.868605</td><td>32.72962</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>42</th><td>15</td><td>1</td><td>20</td><td>5.400000</td><td>5.4</td><td>2</td><td>3</td><td>0.082145</td><td>0.846064</td><td>0.326995</td><td>⋯</td><td>47.43578</td><td>12.904109</td><td>47.43578</td><td>12.904109</td><td>39.16316</td><td>58.43201</td><td>43.632722</td><td>24.36387</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>16</td><td>2</td><td>24</td><td>4.266667</td><td>4.2</td><td>2</td><td>4</td><td>0.838211</td><td>0.950682</td><td>0.953941</td><td>⋯</td><td>22.80177</td><td> 6.067789</td><td>22.80177</td><td> 6.067789</td><td>22.49092</td><td>22.47940</td><td>15.307694</td><td>15.31922</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>43</th><td>17</td><td>1</td><td>19</td><td>4.733333</td><td>4.6</td><td>1</td><td>1</td><td>0.281402</td><td>0.532670</td><td>0.435764</td><td>⋯</td><td>56.95777</td><td>47.352424</td><td>56.95777</td><td>47.352424</td><td>45.34423</td><td>68.78656</td><td>64.669987</td><td>41.22765</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>44</th><td>18</td><td>2</td><td>22</td><td>6.066667</td><td>6.4</td><td>1</td><td>2</td><td>0.217813</td><td>0.582864</td><td>0.924027</td><td>⋯</td><td>21.46621</td><td> 8.828593</td><td>21.46621</td><td> 8.828593</td><td>21.78126</td><td>54.24455</td><td>48.828426</td><td>16.36514</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>19</td><td>1</td><td>20</td><td>3.733333</td><td>3.5</td><td>2</td><td>3</td><td>0.406231</td><td>0.495616</td><td>0.634477</td><td>⋯</td><td>60.08721</td><td>27.913568</td><td>60.08721</td><td>27.913568</td><td>43.94544</td><td>58.45430</td><td>44.665600</td><td>30.15674</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>45</th><td>20</td><td>2</td><td>22</td><td>5.066667</td><td>5.1</td><td>2</td><td>4</td><td>0.531239</td><td>0.737716</td><td>0.456630</td><td>⋯</td><td>29.62084</td><td>24.774618</td><td>29.62084</td><td>24.774618</td><td>31.85720</td><td>48.87499</td><td>46.798036</td><td>29.78025</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>46</th><td>21</td><td>1</td><td>19</td><td>4.466667</td><td>4.8</td><td>1</td><td>1</td><td>0.732263</td><td>0.427124</td><td>0.061523</td><td>⋯</td><td>43.19995</td><td>60.502213</td><td>43.19995</td><td>60.502213</td><td>34.75982</td><td>53.63696</td><td>61.052217</td><td>42.17507</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>22</td><td>1</td><td>18</td><td>4.533333</td><td>4.4</td><td>1</td><td>2</td><td>0.167906</td><td>0.909632</td><td>0.775472</td><td>⋯</td><td>22.54112</td><td>12.473612</td><td>22.54112</td><td>12.473612</td><td>28.10023</td><td>29.21999</td><td>24.905342</td><td>23.78559</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>47</th><td>23</td><td>1</td><td>18</td><td>4.200000</td><td>5.0</td><td>2</td><td>3</td><td>0.634805</td><td>0.320326</td><td>0.836064</td><td>⋯</td><td>26.18473</td><td>10.964400</td><td>26.18473</td><td>10.964400</td><td>25.32889</td><td>56.17313</td><td>49.650131</td><td>18.80589</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>24</td><td>1</td><td>19</td><td>4.200000</td><td>4.3</td><td>2</td><td>4</td><td>0.696138</td><td>0.360700</td><td>0.848181</td><td>⋯</td><td>34.30877</td><td>16.011745</td><td>34.30877</td><td>16.011745</td><td>33.07057</td><td>66.08919</td><td>58.247610</td><td>25.22899</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>25</td><td>1</td><td>18</td><td>4.533333</td><td>4.4</td><td>1</td><td>1</td><td>0.250751</td><td>0.692792</td><td>0.261812</td><td>⋯</td><td>44.79715</td><td>19.881999</td><td>44.79715</td><td>19.881999</td><td>37.76242</td><td>67.32999</td><td>56.652070</td><td>27.08450</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>26</td><td>2</td><td>24</td><td>5.400000</td><td>5.5</td><td>1</td><td>2</td><td>0.425114</td><td>0.675725</td><td>0.770982</td><td>⋯</td><td>22.21348</td><td>10.114940</td><td>22.21348</td><td>10.114940</td><td>26.65461</td><td>39.34231</td><td>34.157217</td><td>21.46952</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>27</td><td>2</td><td>21</td><td>4.200000</td><td>4.4</td><td>2</td><td>3</td><td>0.237083</td><td>0.848424</td><td>0.949372</td><td>⋯</td><td>19.97536</td><td> 3.961296</td><td>19.97536</td><td> 3.961296</td><td>22.28916</td><td>16.22373</td><td> 9.360554</td><td>15.42599</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>28</td><td>2</td><td>19</td><td>3.333333</td><td>3.2</td><td>2</td><td>4</td><td>0.257295</td><td>0.011129</td><td>0.468226</td><td>⋯</td><td>55.22625</td><td>57.812619</td><td>55.22625</td><td>57.812619</td><td>49.30908</td><td>69.03457</td><td>70.143012</td><td>50.41752</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>49</th><td>29</td><td>1</td><td>19</td><td>5.000000</td><td>5.1</td><td>1</td><td>1</td><td>0.406414</td><td>0.634523</td><td>0.771903</td><td>⋯</td><td>21.77695</td><td>21.914869</td><td>21.77695</td><td>21.914869</td><td>23.49627</td><td>33.37772</td><td>33.436830</td><td>23.55538</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>30</td><td>1</td><td>18</td><td>4.133333</td><td>4.4</td><td>1</td><td>2</td><td>0.941883</td><td>0.725415</td><td>0.467196</td><td>⋯</td><td>38.31158</td><td>14.404109</td><td>38.31158</td><td>14.404109</td><td>39.62590</td><td>52.30466</td><td>42.058595</td><td>29.37984</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>⋮</th><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋱</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>36</td><td>1</td><td>23</td><td>4.933333</td><td>5.2</td><td>2</td><td>4</td><td>0.754574</td><td>0.385343</td><td>0.689159</td><td>⋯</td><td>19.954171</td><td> 9.035324</td><td>19.954171</td><td> 9.035324</td><td>34.763249</td><td>31.21050</td><td>26.53099</td><td>30.083743</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>51</th><td>37</td><td>2</td><td>21</td><td>5.333333</td><td>5.4</td><td>1</td><td>1</td><td>0.736374</td><td>0.818551</td><td>0.913587</td><td>⋯</td><td>34.374455</td><td>10.536437</td><td>34.374455</td><td>10.536437</td><td>39.218645</td><td>46.15732</td><td>35.94103</td><td>29.002352</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>38</td><td>1</td><td>24</td><td>2.800000</td><td>2.6</td><td>1</td><td>2</td><td>0.326625</td><td>0.239607</td><td>0.501509</td><td>⋯</td><td>53.315944</td><td>38.323226</td><td>53.315944</td><td>38.323226</td><td>41.967547</td><td>48.20922</td><td>41.78377</td><td>35.542096</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>52</th><td>39</td><td>1</td><td>19</td><td>5.066667</td><td>5.6</td><td>2</td><td>3</td><td>0.267073</td><td>0.902257</td><td>0.250251</td><td>⋯</td><td>36.340830</td><td>46.570105</td><td>36.340830</td><td>46.570105</td><td>33.095246</td><td>47.46942</td><td>51.85340</td><td>37.479221</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>53</th><td>40</td><td>2</td><td>20</td><td>4.533333</td><td>4.6</td><td>2</td><td>4</td><td>0.423769</td><td>0.032304</td><td>0.746683</td><td>⋯</td><td>35.889059</td><td>70.206366</td><td>35.889059</td><td>70.206366</td><td>42.189698</td><td>59.62152</td><td>74.32893</td><td>56.897115</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>41</td><td>1</td><td>18</td><td>3.800000</td><td>3.9</td><td>1</td><td>1</td><td>0.968114</td><td>0.409316</td><td>0.613013</td><td>⋯</td><td>27.515314</td><td> 9.570865</td><td>27.515314</td><td> 9.570865</td><td>42.136798</td><td>55.15352</td><td>47.46304</td><td>34.446320</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>42</td><td>1</td><td>19</td><td>1.533333</td><td>1.1</td><td>1</td><td>2</td><td>0.098809</td><td>0.806738</td><td>0.216519</td><td>⋯</td><td>23.392942</td><td>35.360805</td><td>23.392942</td><td>35.360805</td><td>26.620756</td><td>47.82586</td><td>52.95494</td><td>31.749840</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>54</th><td>43</td><td>2</td><td>23</td><td>5.800000</td><td>5.4</td><td>2</td><td>3</td><td>0.793604</td><td>0.937713</td><td>0.921374</td><td>⋯</td><td> 6.812496</td><td> 7.483955</td><td> 6.812496</td><td> 7.483955</td><td> 6.820207</td><td>11.34155</td><td>11.62932</td><td> 7.107975</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>44</td><td>1</td><td>19</td><td>3.333333</td><td>3.6</td><td>2</td><td>4</td><td>0.773060</td><td>0.156405</td><td>0.126385</td><td>⋯</td><td>45.849798</td><td>30.969060</td><td>45.849798</td><td>30.969060</td><td>39.846950</td><td>58.43623</td><td>52.05877</td><td>33.469490</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>45</td><td>1</td><td>18</td><td>3.533333</td><td>3.4</td><td>1</td><td>1</td><td>0.360578</td><td>0.754495</td><td>0.910181</td><td>⋯</td><td>24.906473</td><td>12.206128</td><td>24.906473</td><td>12.206128</td><td>27.787943</td><td>48.61180</td><td>43.16880</td><td>22.344938</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>26</th><td>46</td><td>1</td><td>18</td><td>3.733333</td><td>3.9</td><td>1</td><td>2</td><td>0.470472</td><td>0.847806</td><td>0.568259</td><td>⋯</td><td>20.214719</td><td>23.937411</td><td>20.214719</td><td>23.937411</td><td>35.182311</td><td>48.64727</td><td>50.24271</td><td>36.777751</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>55</th><td>47</td><td>1</td><td>21</td><td>4.533333</td><td>4.6</td><td>2</td><td>3</td><td>0.290574</td><td>0.862120</td><td>0.922738</td><td>⋯</td><td>40.435225</td><td> 6.273732</td><td>40.435225</td><td> 6.273732</td><td>38.448371</td><td>71.85541</td><td>57.21477</td><td>23.807731</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>56</th><td>48</td><td>1</td><td>21</td><td>6.266667</td><td>6.4</td><td>2</td><td>4</td><td>0.280703</td><td>0.903536</td><td>0.856406</td><td>⋯</td><td>30.957788</td><td>32.650622</td><td>30.957788</td><td>32.650622</td><td>34.557186</td><td>62.02840</td><td>62.75390</td><td>35.282686</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>49</td><td>1</td><td>18</td><td>4.066667</td><td>3.9</td><td>1</td><td>1</td><td>0.596984</td><td>0.915680</td><td>0.220450</td><td>⋯</td><td>36.315944</td><td>19.596923</td><td>36.315944</td><td>19.596923</td><td>34.092329</td><td>47.89400</td><td>40.72870</td><td>26.927035</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>50</td><td>1</td><td>22</td><td>3.533333</td><td>4.0</td><td>1</td><td>2</td><td>0.441706</td><td>0.465811</td><td>0.898229</td><td>⋯</td><td>49.976253</td><td>52.946541</td><td>49.976253</td><td>52.946541</td><td>42.058785</td><td>66.67684</td><td>67.94982</td><td>43.331766</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>57</th><td>51</td><td>1</td><td>32</td><td>5.400000</td><td>5.2</td><td>1</td><td>1</td><td>0.544286</td><td>0.636738</td><td>0.017402</td><td>⋯</td><td>29.761796</td><td>31.923621</td><td>29.761796</td><td>31.923621</td><td>29.516998</td><td>62.33058</td><td>63.25708</td><td>30.443495</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>58</th><td>52</td><td>1</td><td>25</td><td>4.600000</td><td>4.6</td><td>1</td><td>2</td><td>0.685519</td><td>0.223581</td><td>0.731762</td><td>⋯</td><td>49.922540</td><td> 9.663027</td><td>49.922540</td><td> 9.663027</td><td>46.249246</td><td>33.45417</td><td>16.78825</td><td>29.126358</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>59</th><td>53</td><td>1</td><td>25</td><td>4.800000</td><td>4.7</td><td>2</td><td>3</td><td>0.542539</td><td>0.654082</td><td>0.462063</td><td>⋯</td><td>50.040153</td><td>26.921485</td><td>50.040153</td><td>26.921485</td><td>46.460700</td><td>75.49609</td><td>65.58809</td><td>36.185736</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>54</td><td>2</td><td>25</td><td>3.466667</td><td>3.5</td><td>2</td><td>4</td><td>0.556151</td><td>0.197305</td><td>0.069665</td><td>⋯</td><td>35.206903</td><td>31.809852</td><td>35.206903</td><td>31.809852</td><td>28.858946</td><td>52.77398</td><td>51.31810</td><td>27.349145</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>60</th><td>55</td><td>1</td><td>22</td><td>4.866667</td><td>4.8</td><td>1</td><td>1</td><td>0.302054</td><td>0.316886</td><td>0.455736</td><td>⋯</td><td>29.116065</td><td>10.546892</td><td>29.116065</td><td>10.546892</td><td>25.121483</td><td>29.17354</td><td>20.92058</td><td>16.868518</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>61</th><td>56</td><td>2</td><td>23</td><td>5.200000</td><td>5.5</td><td>1</td><td>2</td><td>0.661348</td><td>0.080903</td><td>0.039764</td><td>⋯</td><td>33.450922</td><td>45.888994</td><td>33.450922</td><td>45.888994</td><td>37.655035</td><td>59.26221</td><td>66.07742</td><td>42.469070</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>30</th><td>57</td><td>2</td><td>28</td><td>3.200000</td><td>4.0</td><td>2</td><td>3</td><td>0.576626</td><td>0.693561</td><td>0.224544</td><td>⋯</td><td>38.849798</td><td>50.704230</td><td>38.849798</td><td>50.704230</td><td>37.050263</td><td>43.70477</td><td>48.78524</td><td>42.130734</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>62</th><td>58</td><td>2</td><td>21</td><td>5.800000</td><td>5.8</td><td>2</td><td>4</td><td>0.400696</td><td>0.098623</td><td>0.983120</td><td>⋯</td><td>42.544502</td><td>28.538120</td><td>42.544502</td><td>28.538120</td><td>41.828466</td><td>69.74460</td><td>62.77043</td><td>35.629927</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>59</td><td>1</td><td>23</td><td>4.400000</td><td>4.3</td><td>1</td><td>1</td><td>0.311214</td><td>0.675456</td><td>0.151631</td><td>⋯</td><td>22.072701</td><td> 6.557665</td><td>22.072701</td><td> 6.557665</td><td>24.344810</td><td>51.66861</td><td>43.96231</td><td>17.614362</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>63</th><td>60</td><td>2</td><td>22</td><td>4.666667</td><td>5.3</td><td>1</td><td>2</td><td>0.383654</td><td>0.219801</td><td>0.384884</td><td>⋯</td><td>63.859043</td><td>56.660872</td><td>63.859043</td><td>56.660872</td><td>39.528503</td><td>46.62174</td><td>43.68915</td><td>36.595914</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>61</td><td>1</td><td>22</td><td>4.666667</td><td>4.5</td><td>2</td><td>3</td><td>0.203108</td><td>0.255263</td><td>0.020043</td><td>⋯</td><td>36.079165</td><td>41.014174</td><td>36.079165</td><td>41.014174</td><td>33.332458</td><td>59.27638</td><td>60.56291</td><td>35.545559</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>33</th><td>62</td><td>1</td><td>21</td><td>4.066667</td><td>3.8</td><td>2</td><td>4</td><td>0.184704</td><td>0.823031</td><td>0.520917</td><td>⋯</td><td>37.084125</td><td>21.299790</td><td>37.084125</td><td>21.299790</td><td>37.268786</td><td>42.64947</td><td>35.68599</td><td>29.976607</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>64</th><td>63</td><td>1</td><td>22</td><td>5.666667</td><td>5.5</td><td>1</td><td>1</td><td>0.119472</td><td>0.971503</td><td>0.541606</td><td>⋯</td><td>36.300861</td><td>41.038616</td><td>36.300861</td><td>41.038616</td><td>35.220827</td><td>59.57322</td><td>61.60369</td><td>37.407483</td><td>NA</td><td> 2</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>64</td><td>1</td><td>29</td><td>4.266667</td><td>4.5</td><td>1</td><td>2</td><td>0.371137</td><td>0.219308</td><td>0.786338</td><td>⋯</td><td>31.756171</td><td>21.907097</td><td>31.756171</td><td>21.907097</td><td>27.784087</td><td>60.02939</td><td>52.51055</td><td>23.848063</td><td> 1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>65</th><td>65</td><td>2</td><td>27</td><td>5.466667</td><td>5.7</td><td>2</td><td>3</td><td>0.274705</td><td>0.392973</td><td>0.824120</td><td>⋯</td><td>33.703571</td><td>11.791634</td><td>33.703571</td><td>11.791634</td><td>32.413860</td><td>49.45075</td><td>40.05992</td><td>22.675221</td><td>NA</td><td> 2</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 65 × 48\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & participant & sex & age & SBSOD\\_average & SBSOD\\_CY\\_average & Route\\_Order & RouteOrder\\_4 & r2\\_Overall & r2\\_RouteA & r2\\_RouteB & ⋯ & error\\_start\\_routeA\\_SAME & error\\_start\\_routeB\\_SAME & error\\_target\\_routeA\\_SAME & error\\_target\\_routeB\\_SAME & error\\_start\\_RouteA\\_Different & error\\_target\\_RouteA\\_Different & error\\_start\\_RouteB\\_Different & error\\_target\\_RouteB\\_Different & low\\_SBSOD & high\\_SBSOD\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <dbl> & <int> & <int> & <dbl> & <dbl> & <dbl> & ⋯ & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t1 &  1 & 1 & 21 & 3.000000 & 2.5 & 1 & 1 & 0.945822 & 0.826816 & 0.956720 & ⋯ & 25.72205 &  6.191736 & 25.72205 &  6.191736 & 19.78113 & 28.67941 & 20.309270 & 11.41099 &  1 & NA\\\\\n",
       "\t35 &  2 & 2 & 23 & 5.533333 & 5.2 & 1 & 2 & 0.146714 & 0.666080 & 0.778289 & ⋯ & 13.86284 & 10.674301 & 13.86284 & 10.674301 & 27.25540 & 28.84311 & 27.476587 & 25.88888 & NA &  2\\\\\n",
       "\t36 &  3 & 1 & 21 & 4.533333 & 4.6 & 2 & 3 & 0.282986 & 0.554284 & 0.333108 & ⋯ & 25.25847 & 11.774200 & 25.25847 & 11.774200 & 25.08009 & 48.14568 & 42.366709 & 19.30112 & NA &  2\\\\\n",
       "\t37 &  4 & 1 & 18 & 4.400000 & 4.8 & 2 & 4 & 0.361452 & 0.388110 & 0.915188 & ⋯ & 23.92846 &  7.546892 & 23.92846 &  7.546892 & 29.65694 & 27.67370 & 20.653024 & 22.63626 & NA &  2\\\\\n",
       "\t2 &  5 & 1 & 22 & 4.066667 & 4.2 & 1 & 1 & 0.505958 & 0.418005 & 0.956754 & ⋯ & 25.85940 & 13.154199 & 25.85940 & 13.154199 & 27.21885 & 49.21212 & 43.767034 & 21.77377 &  1 & NA\\\\\n",
       "\t38 &  6 & 1 & 21 & 4.533333 & 5.3 & 1 & 2 & 0.382166 & 0.475093 & 0.710581 & ⋯ & 33.46825 &  5.349743 & 33.46825 &  5.349743 & 34.13608 & 52.75195 & 40.701161 & 22.08529 & NA &  2\\\\\n",
       "\t39 &  7 & 1 & 23 & 5.000000 & 5.1 & 2 & 3 & 0.297213 & 0.334312 & 0.706555 & ⋯ & 24.20417 &  6.770745 & 24.20417 &  6.770745 & 22.29536 & 44.46375 & 36.992285 & 14.82390 & NA &  2\\\\\n",
       "\t3 &  8 & 1 & 21 & 3.533333 & 4.4 & 2 & 4 & 0.941772 & 0.597372 & 0.390829 & ⋯ & 45.90709 & 14.594749 & 45.90709 & 14.594749 & 44.21325 & 63.79064 & 50.371065 & 30.79368 &  1 & NA\\\\\n",
       "\t4 &  9 & 1 & 31 & 4.733333 & 4.5 & 1 & 1 & 0.169934 & 0.431045 & 0.250685 & ⋯ & 38.37047 & 15.725679 & 38.37047 & 15.725679 & 37.61004 & 55.89559 & 46.190677 & 27.90513 &  1 & NA\\\\\n",
       "\t5 & 10 & 1 & 19 & 3.933333 & 4.1 & 1 & 2 & 0.170237 & 0.662662 & 0.104487 & ⋯ & 44.82641 & 32.505434 & 44.82641 & 32.505434 & 46.35503 & 62.59099 & 57.310572 & 41.07461 &  1 & NA\\\\\n",
       "\t6 & 11 & 1 & 22 & 3.400000 & 3.7 & 2 & 3 & 0.670268 & 0.265635 & 0.248272 & ⋯ & 35.64581 & 42.896540 & 35.64581 & 42.896540 & 39.89112 & 50.86219 & 53.969643 & 42.99858 &  1 & NA\\\\\n",
       "\t40 & 12 & 2 & 25 & 5.000000 & 5.1 & 2 & 4 & 0.290037 & 0.639134 & 0.883501 & ⋯ & 21.62446 &  8.169082 & 21.62446 &  8.169082 & 31.28554 & 56.61508 & 50.848492 & 25.51895 & NA &  2\\\\\n",
       "\t7 & 13 & 1 & 21 & 3.400000 & 3.7 & 1 & 1 & 0.140301 & 0.623992 & 0.013201 & ⋯ & 28.59036 & 18.846923 & 28.59036 & 18.846923 & 35.82925 & 64.43335 & 60.257595 & 31.65349 &  1 & NA\\\\\n",
       "\t41 & 14 & 1 & 20 & 5.000000 & 5.1 & 1 & 2 & 0.381509 & 0.792664 & 0.890269 & ⋯ & 48.58003 & 37.652355 & 48.58003 & 37.652355 & 37.41291 & 63.55189 & 58.868605 & 32.72962 & NA &  2\\\\\n",
       "\t42 & 15 & 1 & 20 & 5.400000 & 5.4 & 2 & 3 & 0.082145 & 0.846064 & 0.326995 & ⋯ & 47.43578 & 12.904109 & 47.43578 & 12.904109 & 39.16316 & 58.43201 & 43.632722 & 24.36387 & NA &  2\\\\\n",
       "\t8 & 16 & 2 & 24 & 4.266667 & 4.2 & 2 & 4 & 0.838211 & 0.950682 & 0.953941 & ⋯ & 22.80177 &  6.067789 & 22.80177 &  6.067789 & 22.49092 & 22.47940 & 15.307694 & 15.31922 &  1 & NA\\\\\n",
       "\t43 & 17 & 1 & 19 & 4.733333 & 4.6 & 1 & 1 & 0.281402 & 0.532670 & 0.435764 & ⋯ & 56.95777 & 47.352424 & 56.95777 & 47.352424 & 45.34423 & 68.78656 & 64.669987 & 41.22765 & NA &  2\\\\\n",
       "\t44 & 18 & 2 & 22 & 6.066667 & 6.4 & 1 & 2 & 0.217813 & 0.582864 & 0.924027 & ⋯ & 21.46621 &  8.828593 & 21.46621 &  8.828593 & 21.78126 & 54.24455 & 48.828426 & 16.36514 & NA &  2\\\\\n",
       "\t9 & 19 & 1 & 20 & 3.733333 & 3.5 & 2 & 3 & 0.406231 & 0.495616 & 0.634477 & ⋯ & 60.08721 & 27.913568 & 60.08721 & 27.913568 & 43.94544 & 58.45430 & 44.665600 & 30.15674 &  1 & NA\\\\\n",
       "\t45 & 20 & 2 & 22 & 5.066667 & 5.1 & 2 & 4 & 0.531239 & 0.737716 & 0.456630 & ⋯ & 29.62084 & 24.774618 & 29.62084 & 24.774618 & 31.85720 & 48.87499 & 46.798036 & 29.78025 & NA &  2\\\\\n",
       "\t46 & 21 & 1 & 19 & 4.466667 & 4.8 & 1 & 1 & 0.732263 & 0.427124 & 0.061523 & ⋯ & 43.19995 & 60.502213 & 43.19995 & 60.502213 & 34.75982 & 53.63696 & 61.052217 & 42.17507 & NA &  2\\\\\n",
       "\t10 & 22 & 1 & 18 & 4.533333 & 4.4 & 1 & 2 & 0.167906 & 0.909632 & 0.775472 & ⋯ & 22.54112 & 12.473612 & 22.54112 & 12.473612 & 28.10023 & 29.21999 & 24.905342 & 23.78559 &  1 & NA\\\\\n",
       "\t47 & 23 & 1 & 18 & 4.200000 & 5.0 & 2 & 3 & 0.634805 & 0.320326 & 0.836064 & ⋯ & 26.18473 & 10.964400 & 26.18473 & 10.964400 & 25.32889 & 56.17313 & 49.650131 & 18.80589 & NA &  2\\\\\n",
       "\t11 & 24 & 1 & 19 & 4.200000 & 4.3 & 2 & 4 & 0.696138 & 0.360700 & 0.848181 & ⋯ & 34.30877 & 16.011745 & 34.30877 & 16.011745 & 33.07057 & 66.08919 & 58.247610 & 25.22899 &  1 & NA\\\\\n",
       "\t12 & 25 & 1 & 18 & 4.533333 & 4.4 & 1 & 1 & 0.250751 & 0.692792 & 0.261812 & ⋯ & 44.79715 & 19.881999 & 44.79715 & 19.881999 & 37.76242 & 67.32999 & 56.652070 & 27.08450 &  1 & NA\\\\\n",
       "\t48 & 26 & 2 & 24 & 5.400000 & 5.5 & 1 & 2 & 0.425114 & 0.675725 & 0.770982 & ⋯ & 22.21348 & 10.114940 & 22.21348 & 10.114940 & 26.65461 & 39.34231 & 34.157217 & 21.46952 & NA &  2\\\\\n",
       "\t13 & 27 & 2 & 21 & 4.200000 & 4.4 & 2 & 3 & 0.237083 & 0.848424 & 0.949372 & ⋯ & 19.97536 &  3.961296 & 19.97536 &  3.961296 & 22.28916 & 16.22373 &  9.360554 & 15.42599 &  1 & NA\\\\\n",
       "\t14 & 28 & 2 & 19 & 3.333333 & 3.2 & 2 & 4 & 0.257295 & 0.011129 & 0.468226 & ⋯ & 55.22625 & 57.812619 & 55.22625 & 57.812619 & 49.30908 & 69.03457 & 70.143012 & 50.41752 &  1 & NA\\\\\n",
       "\t49 & 29 & 1 & 19 & 5.000000 & 5.1 & 1 & 1 & 0.406414 & 0.634523 & 0.771903 & ⋯ & 21.77695 & 21.914869 & 21.77695 & 21.914869 & 23.49627 & 33.37772 & 33.436830 & 23.55538 & NA &  2\\\\\n",
       "\t15 & 30 & 1 & 18 & 4.133333 & 4.4 & 1 & 2 & 0.941883 & 0.725415 & 0.467196 & ⋯ & 38.31158 & 14.404109 & 38.31158 & 14.404109 & 39.62590 & 52.30466 & 42.058595 & 29.37984 &  1 & NA\\\\\n",
       "\t⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋱ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t50 & 36 & 1 & 23 & 4.933333 & 5.2 & 2 & 4 & 0.754574 & 0.385343 & 0.689159 & ⋯ & 19.954171 &  9.035324 & 19.954171 &  9.035324 & 34.763249 & 31.21050 & 26.53099 & 30.083743 & NA &  2\\\\\n",
       "\t51 & 37 & 2 & 21 & 5.333333 & 5.4 & 1 & 1 & 0.736374 & 0.818551 & 0.913587 & ⋯ & 34.374455 & 10.536437 & 34.374455 & 10.536437 & 39.218645 & 46.15732 & 35.94103 & 29.002352 & NA &  2\\\\\n",
       "\t21 & 38 & 1 & 24 & 2.800000 & 2.6 & 1 & 2 & 0.326625 & 0.239607 & 0.501509 & ⋯ & 53.315944 & 38.323226 & 53.315944 & 38.323226 & 41.967547 & 48.20922 & 41.78377 & 35.542096 &  1 & NA\\\\\n",
       "\t52 & 39 & 1 & 19 & 5.066667 & 5.6 & 2 & 3 & 0.267073 & 0.902257 & 0.250251 & ⋯ & 36.340830 & 46.570105 & 36.340830 & 46.570105 & 33.095246 & 47.46942 & 51.85340 & 37.479221 & NA &  2\\\\\n",
       "\t53 & 40 & 2 & 20 & 4.533333 & 4.6 & 2 & 4 & 0.423769 & 0.032304 & 0.746683 & ⋯ & 35.889059 & 70.206366 & 35.889059 & 70.206366 & 42.189698 & 59.62152 & 74.32893 & 56.897115 & NA &  2\\\\\n",
       "\t22 & 41 & 1 & 18 & 3.800000 & 3.9 & 1 & 1 & 0.968114 & 0.409316 & 0.613013 & ⋯ & 27.515314 &  9.570865 & 27.515314 &  9.570865 & 42.136798 & 55.15352 & 47.46304 & 34.446320 &  1 & NA\\\\\n",
       "\t23 & 42 & 1 & 19 & 1.533333 & 1.1 & 1 & 2 & 0.098809 & 0.806738 & 0.216519 & ⋯ & 23.392942 & 35.360805 & 23.392942 & 35.360805 & 26.620756 & 47.82586 & 52.95494 & 31.749840 &  1 & NA\\\\\n",
       "\t54 & 43 & 2 & 23 & 5.800000 & 5.4 & 2 & 3 & 0.793604 & 0.937713 & 0.921374 & ⋯ &  6.812496 &  7.483955 &  6.812496 &  7.483955 &  6.820207 & 11.34155 & 11.62932 &  7.107975 & NA &  2\\\\\n",
       "\t24 & 44 & 1 & 19 & 3.333333 & 3.6 & 2 & 4 & 0.773060 & 0.156405 & 0.126385 & ⋯ & 45.849798 & 30.969060 & 45.849798 & 30.969060 & 39.846950 & 58.43623 & 52.05877 & 33.469490 &  1 & NA\\\\\n",
       "\t25 & 45 & 1 & 18 & 3.533333 & 3.4 & 1 & 1 & 0.360578 & 0.754495 & 0.910181 & ⋯ & 24.906473 & 12.206128 & 24.906473 & 12.206128 & 27.787943 & 48.61180 & 43.16880 & 22.344938 &  1 & NA\\\\\n",
       "\t26 & 46 & 1 & 18 & 3.733333 & 3.9 & 1 & 2 & 0.470472 & 0.847806 & 0.568259 & ⋯ & 20.214719 & 23.937411 & 20.214719 & 23.937411 & 35.182311 & 48.64727 & 50.24271 & 36.777751 &  1 & NA\\\\\n",
       "\t55 & 47 & 1 & 21 & 4.533333 & 4.6 & 2 & 3 & 0.290574 & 0.862120 & 0.922738 & ⋯ & 40.435225 &  6.273732 & 40.435225 &  6.273732 & 38.448371 & 71.85541 & 57.21477 & 23.807731 & NA &  2\\\\\n",
       "\t56 & 48 & 1 & 21 & 6.266667 & 6.4 & 2 & 4 & 0.280703 & 0.903536 & 0.856406 & ⋯ & 30.957788 & 32.650622 & 30.957788 & 32.650622 & 34.557186 & 62.02840 & 62.75390 & 35.282686 & NA &  2\\\\\n",
       "\t27 & 49 & 1 & 18 & 4.066667 & 3.9 & 1 & 1 & 0.596984 & 0.915680 & 0.220450 & ⋯ & 36.315944 & 19.596923 & 36.315944 & 19.596923 & 34.092329 & 47.89400 & 40.72870 & 26.927035 &  1 & NA\\\\\n",
       "\t28 & 50 & 1 & 22 & 3.533333 & 4.0 & 1 & 2 & 0.441706 & 0.465811 & 0.898229 & ⋯ & 49.976253 & 52.946541 & 49.976253 & 52.946541 & 42.058785 & 66.67684 & 67.94982 & 43.331766 &  1 & NA\\\\\n",
       "\t57 & 51 & 1 & 32 & 5.400000 & 5.2 & 1 & 1 & 0.544286 & 0.636738 & 0.017402 & ⋯ & 29.761796 & 31.923621 & 29.761796 & 31.923621 & 29.516998 & 62.33058 & 63.25708 & 30.443495 & NA &  2\\\\\n",
       "\t58 & 52 & 1 & 25 & 4.600000 & 4.6 & 1 & 2 & 0.685519 & 0.223581 & 0.731762 & ⋯ & 49.922540 &  9.663027 & 49.922540 &  9.663027 & 46.249246 & 33.45417 & 16.78825 & 29.126358 & NA &  2\\\\\n",
       "\t59 & 53 & 1 & 25 & 4.800000 & 4.7 & 2 & 3 & 0.542539 & 0.654082 & 0.462063 & ⋯ & 50.040153 & 26.921485 & 50.040153 & 26.921485 & 46.460700 & 75.49609 & 65.58809 & 36.185736 & NA &  2\\\\\n",
       "\t29 & 54 & 2 & 25 & 3.466667 & 3.5 & 2 & 4 & 0.556151 & 0.197305 & 0.069665 & ⋯ & 35.206903 & 31.809852 & 35.206903 & 31.809852 & 28.858946 & 52.77398 & 51.31810 & 27.349145 &  1 & NA\\\\\n",
       "\t60 & 55 & 1 & 22 & 4.866667 & 4.8 & 1 & 1 & 0.302054 & 0.316886 & 0.455736 & ⋯ & 29.116065 & 10.546892 & 29.116065 & 10.546892 & 25.121483 & 29.17354 & 20.92058 & 16.868518 & NA &  2\\\\\n",
       "\t61 & 56 & 2 & 23 & 5.200000 & 5.5 & 1 & 2 & 0.661348 & 0.080903 & 0.039764 & ⋯ & 33.450922 & 45.888994 & 33.450922 & 45.888994 & 37.655035 & 59.26221 & 66.07742 & 42.469070 & NA &  2\\\\\n",
       "\t30 & 57 & 2 & 28 & 3.200000 & 4.0 & 2 & 3 & 0.576626 & 0.693561 & 0.224544 & ⋯ & 38.849798 & 50.704230 & 38.849798 & 50.704230 & 37.050263 & 43.70477 & 48.78524 & 42.130734 &  1 & NA\\\\\n",
       "\t62 & 58 & 2 & 21 & 5.800000 & 5.8 & 2 & 4 & 0.400696 & 0.098623 & 0.983120 & ⋯ & 42.544502 & 28.538120 & 42.544502 & 28.538120 & 41.828466 & 69.74460 & 62.77043 & 35.629927 & NA &  2\\\\\n",
       "\t31 & 59 & 1 & 23 & 4.400000 & 4.3 & 1 & 1 & 0.311214 & 0.675456 & 0.151631 & ⋯ & 22.072701 &  6.557665 & 22.072701 &  6.557665 & 24.344810 & 51.66861 & 43.96231 & 17.614362 &  1 & NA\\\\\n",
       "\t63 & 60 & 2 & 22 & 4.666667 & 5.3 & 1 & 2 & 0.383654 & 0.219801 & 0.384884 & ⋯ & 63.859043 & 56.660872 & 63.859043 & 56.660872 & 39.528503 & 46.62174 & 43.68915 & 36.595914 & NA &  2\\\\\n",
       "\t32 & 61 & 1 & 22 & 4.666667 & 4.5 & 2 & 3 & 0.203108 & 0.255263 & 0.020043 & ⋯ & 36.079165 & 41.014174 & 36.079165 & 41.014174 & 33.332458 & 59.27638 & 60.56291 & 35.545559 &  1 & NA\\\\\n",
       "\t33 & 62 & 1 & 21 & 4.066667 & 3.8 & 2 & 4 & 0.184704 & 0.823031 & 0.520917 & ⋯ & 37.084125 & 21.299790 & 37.084125 & 21.299790 & 37.268786 & 42.64947 & 35.68599 & 29.976607 &  1 & NA\\\\\n",
       "\t64 & 63 & 1 & 22 & 5.666667 & 5.5 & 1 & 1 & 0.119472 & 0.971503 & 0.541606 & ⋯ & 36.300861 & 41.038616 & 36.300861 & 41.038616 & 35.220827 & 59.57322 & 61.60369 & 37.407483 & NA &  2\\\\\n",
       "\t34 & 64 & 1 & 29 & 4.266667 & 4.5 & 1 & 2 & 0.371137 & 0.219308 & 0.786338 & ⋯ & 31.756171 & 21.907097 & 31.756171 & 21.907097 & 27.784087 & 60.02939 & 52.51055 & 23.848063 &  1 & NA\\\\\n",
       "\t65 & 65 & 2 & 27 & 5.466667 & 5.7 & 2 & 3 & 0.274705 & 0.392973 & 0.824120 & ⋯ & 33.703571 & 11.791634 & 33.703571 & 11.791634 & 32.413860 & 49.45075 & 40.05992 & 22.675221 & NA &  2\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 65 × 48\n",
       "\n",
       "| <!--/--> | participant &lt;int&gt; | sex &lt;int&gt; | age &lt;int&gt; | SBSOD_average &lt;dbl&gt; | SBSOD_CY_average &lt;dbl&gt; | Route_Order &lt;int&gt; | RouteOrder_4 &lt;int&gt; | r2_Overall &lt;dbl&gt; | r2_RouteA &lt;dbl&gt; | r2_RouteB &lt;dbl&gt; | ⋯ ⋯ | error_start_routeA_SAME &lt;dbl&gt; | error_start_routeB_SAME &lt;dbl&gt; | error_target_routeA_SAME &lt;dbl&gt; | error_target_routeB_SAME &lt;dbl&gt; | error_start_RouteA_Different &lt;dbl&gt; | error_target_RouteA_Different &lt;dbl&gt; | error_start_RouteB_Different &lt;dbl&gt; | error_target_RouteB_Different &lt;dbl&gt; | low_SBSOD &lt;int&gt; | high_SBSOD &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 |  1 | 1 | 21 | 3.000000 | 2.5 | 1 | 1 | 0.945822 | 0.826816 | 0.956720 | ⋯ | 25.72205 |  6.191736 | 25.72205 |  6.191736 | 19.78113 | 28.67941 | 20.309270 | 11.41099 |  1 | NA |\n",
       "| 35 |  2 | 2 | 23 | 5.533333 | 5.2 | 1 | 2 | 0.146714 | 0.666080 | 0.778289 | ⋯ | 13.86284 | 10.674301 | 13.86284 | 10.674301 | 27.25540 | 28.84311 | 27.476587 | 25.88888 | NA |  2 |\n",
       "| 36 |  3 | 1 | 21 | 4.533333 | 4.6 | 2 | 3 | 0.282986 | 0.554284 | 0.333108 | ⋯ | 25.25847 | 11.774200 | 25.25847 | 11.774200 | 25.08009 | 48.14568 | 42.366709 | 19.30112 | NA |  2 |\n",
       "| 37 |  4 | 1 | 18 | 4.400000 | 4.8 | 2 | 4 | 0.361452 | 0.388110 | 0.915188 | ⋯ | 23.92846 |  7.546892 | 23.92846 |  7.546892 | 29.65694 | 27.67370 | 20.653024 | 22.63626 | NA |  2 |\n",
       "| 2 |  5 | 1 | 22 | 4.066667 | 4.2 | 1 | 1 | 0.505958 | 0.418005 | 0.956754 | ⋯ | 25.85940 | 13.154199 | 25.85940 | 13.154199 | 27.21885 | 49.21212 | 43.767034 | 21.77377 |  1 | NA |\n",
       "| 38 |  6 | 1 | 21 | 4.533333 | 5.3 | 1 | 2 | 0.382166 | 0.475093 | 0.710581 | ⋯ | 33.46825 |  5.349743 | 33.46825 |  5.349743 | 34.13608 | 52.75195 | 40.701161 | 22.08529 | NA |  2 |\n",
       "| 39 |  7 | 1 | 23 | 5.000000 | 5.1 | 2 | 3 | 0.297213 | 0.334312 | 0.706555 | ⋯ | 24.20417 |  6.770745 | 24.20417 |  6.770745 | 22.29536 | 44.46375 | 36.992285 | 14.82390 | NA |  2 |\n",
       "| 3 |  8 | 1 | 21 | 3.533333 | 4.4 | 2 | 4 | 0.941772 | 0.597372 | 0.390829 | ⋯ | 45.90709 | 14.594749 | 45.90709 | 14.594749 | 44.21325 | 63.79064 | 50.371065 | 30.79368 |  1 | NA |\n",
       "| 4 |  9 | 1 | 31 | 4.733333 | 4.5 | 1 | 1 | 0.169934 | 0.431045 | 0.250685 | ⋯ | 38.37047 | 15.725679 | 38.37047 | 15.725679 | 37.61004 | 55.89559 | 46.190677 | 27.90513 |  1 | NA |\n",
       "| 5 | 10 | 1 | 19 | 3.933333 | 4.1 | 1 | 2 | 0.170237 | 0.662662 | 0.104487 | ⋯ | 44.82641 | 32.505434 | 44.82641 | 32.505434 | 46.35503 | 62.59099 | 57.310572 | 41.07461 |  1 | NA |\n",
       "| 6 | 11 | 1 | 22 | 3.400000 | 3.7 | 2 | 3 | 0.670268 | 0.265635 | 0.248272 | ⋯ | 35.64581 | 42.896540 | 35.64581 | 42.896540 | 39.89112 | 50.86219 | 53.969643 | 42.99858 |  1 | NA |\n",
       "| 40 | 12 | 2 | 25 | 5.000000 | 5.1 | 2 | 4 | 0.290037 | 0.639134 | 0.883501 | ⋯ | 21.62446 |  8.169082 | 21.62446 |  8.169082 | 31.28554 | 56.61508 | 50.848492 | 25.51895 | NA |  2 |\n",
       "| 7 | 13 | 1 | 21 | 3.400000 | 3.7 | 1 | 1 | 0.140301 | 0.623992 | 0.013201 | ⋯ | 28.59036 | 18.846923 | 28.59036 | 18.846923 | 35.82925 | 64.43335 | 60.257595 | 31.65349 |  1 | NA |\n",
       "| 41 | 14 | 1 | 20 | 5.000000 | 5.1 | 1 | 2 | 0.381509 | 0.792664 | 0.890269 | ⋯ | 48.58003 | 37.652355 | 48.58003 | 37.652355 | 37.41291 | 63.55189 | 58.868605 | 32.72962 | NA |  2 |\n",
       "| 42 | 15 | 1 | 20 | 5.400000 | 5.4 | 2 | 3 | 0.082145 | 0.846064 | 0.326995 | ⋯ | 47.43578 | 12.904109 | 47.43578 | 12.904109 | 39.16316 | 58.43201 | 43.632722 | 24.36387 | NA |  2 |\n",
       "| 8 | 16 | 2 | 24 | 4.266667 | 4.2 | 2 | 4 | 0.838211 | 0.950682 | 0.953941 | ⋯ | 22.80177 |  6.067789 | 22.80177 |  6.067789 | 22.49092 | 22.47940 | 15.307694 | 15.31922 |  1 | NA |\n",
       "| 43 | 17 | 1 | 19 | 4.733333 | 4.6 | 1 | 1 | 0.281402 | 0.532670 | 0.435764 | ⋯ | 56.95777 | 47.352424 | 56.95777 | 47.352424 | 45.34423 | 68.78656 | 64.669987 | 41.22765 | NA |  2 |\n",
       "| 44 | 18 | 2 | 22 | 6.066667 | 6.4 | 1 | 2 | 0.217813 | 0.582864 | 0.924027 | ⋯ | 21.46621 |  8.828593 | 21.46621 |  8.828593 | 21.78126 | 54.24455 | 48.828426 | 16.36514 | NA |  2 |\n",
       "| 9 | 19 | 1 | 20 | 3.733333 | 3.5 | 2 | 3 | 0.406231 | 0.495616 | 0.634477 | ⋯ | 60.08721 | 27.913568 | 60.08721 | 27.913568 | 43.94544 | 58.45430 | 44.665600 | 30.15674 |  1 | NA |\n",
       "| 45 | 20 | 2 | 22 | 5.066667 | 5.1 | 2 | 4 | 0.531239 | 0.737716 | 0.456630 | ⋯ | 29.62084 | 24.774618 | 29.62084 | 24.774618 | 31.85720 | 48.87499 | 46.798036 | 29.78025 | NA |  2 |\n",
       "| 46 | 21 | 1 | 19 | 4.466667 | 4.8 | 1 | 1 | 0.732263 | 0.427124 | 0.061523 | ⋯ | 43.19995 | 60.502213 | 43.19995 | 60.502213 | 34.75982 | 53.63696 | 61.052217 | 42.17507 | NA |  2 |\n",
       "| 10 | 22 | 1 | 18 | 4.533333 | 4.4 | 1 | 2 | 0.167906 | 0.909632 | 0.775472 | ⋯ | 22.54112 | 12.473612 | 22.54112 | 12.473612 | 28.10023 | 29.21999 | 24.905342 | 23.78559 |  1 | NA |\n",
       "| 47 | 23 | 1 | 18 | 4.200000 | 5.0 | 2 | 3 | 0.634805 | 0.320326 | 0.836064 | ⋯ | 26.18473 | 10.964400 | 26.18473 | 10.964400 | 25.32889 | 56.17313 | 49.650131 | 18.80589 | NA |  2 |\n",
       "| 11 | 24 | 1 | 19 | 4.200000 | 4.3 | 2 | 4 | 0.696138 | 0.360700 | 0.848181 | ⋯ | 34.30877 | 16.011745 | 34.30877 | 16.011745 | 33.07057 | 66.08919 | 58.247610 | 25.22899 |  1 | NA |\n",
       "| 12 | 25 | 1 | 18 | 4.533333 | 4.4 | 1 | 1 | 0.250751 | 0.692792 | 0.261812 | ⋯ | 44.79715 | 19.881999 | 44.79715 | 19.881999 | 37.76242 | 67.32999 | 56.652070 | 27.08450 |  1 | NA |\n",
       "| 48 | 26 | 2 | 24 | 5.400000 | 5.5 | 1 | 2 | 0.425114 | 0.675725 | 0.770982 | ⋯ | 22.21348 | 10.114940 | 22.21348 | 10.114940 | 26.65461 | 39.34231 | 34.157217 | 21.46952 | NA |  2 |\n",
       "| 13 | 27 | 2 | 21 | 4.200000 | 4.4 | 2 | 3 | 0.237083 | 0.848424 | 0.949372 | ⋯ | 19.97536 |  3.961296 | 19.97536 |  3.961296 | 22.28916 | 16.22373 |  9.360554 | 15.42599 |  1 | NA |\n",
       "| 14 | 28 | 2 | 19 | 3.333333 | 3.2 | 2 | 4 | 0.257295 | 0.011129 | 0.468226 | ⋯ | 55.22625 | 57.812619 | 55.22625 | 57.812619 | 49.30908 | 69.03457 | 70.143012 | 50.41752 |  1 | NA |\n",
       "| 49 | 29 | 1 | 19 | 5.000000 | 5.1 | 1 | 1 | 0.406414 | 0.634523 | 0.771903 | ⋯ | 21.77695 | 21.914869 | 21.77695 | 21.914869 | 23.49627 | 33.37772 | 33.436830 | 23.55538 | NA |  2 |\n",
       "| 15 | 30 | 1 | 18 | 4.133333 | 4.4 | 1 | 2 | 0.941883 | 0.725415 | 0.467196 | ⋯ | 38.31158 | 14.404109 | 38.31158 | 14.404109 | 39.62590 | 52.30466 | 42.058595 | 29.37984 |  1 | NA |\n",
       "| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋱ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ |\n",
       "| 50 | 36 | 1 | 23 | 4.933333 | 5.2 | 2 | 4 | 0.754574 | 0.385343 | 0.689159 | ⋯ | 19.954171 |  9.035324 | 19.954171 |  9.035324 | 34.763249 | 31.21050 | 26.53099 | 30.083743 | NA |  2 |\n",
       "| 51 | 37 | 2 | 21 | 5.333333 | 5.4 | 1 | 1 | 0.736374 | 0.818551 | 0.913587 | ⋯ | 34.374455 | 10.536437 | 34.374455 | 10.536437 | 39.218645 | 46.15732 | 35.94103 | 29.002352 | NA |  2 |\n",
       "| 21 | 38 | 1 | 24 | 2.800000 | 2.6 | 1 | 2 | 0.326625 | 0.239607 | 0.501509 | ⋯ | 53.315944 | 38.323226 | 53.315944 | 38.323226 | 41.967547 | 48.20922 | 41.78377 | 35.542096 |  1 | NA |\n",
       "| 52 | 39 | 1 | 19 | 5.066667 | 5.6 | 2 | 3 | 0.267073 | 0.902257 | 0.250251 | ⋯ | 36.340830 | 46.570105 | 36.340830 | 46.570105 | 33.095246 | 47.46942 | 51.85340 | 37.479221 | NA |  2 |\n",
       "| 53 | 40 | 2 | 20 | 4.533333 | 4.6 | 2 | 4 | 0.423769 | 0.032304 | 0.746683 | ⋯ | 35.889059 | 70.206366 | 35.889059 | 70.206366 | 42.189698 | 59.62152 | 74.32893 | 56.897115 | NA |  2 |\n",
       "| 22 | 41 | 1 | 18 | 3.800000 | 3.9 | 1 | 1 | 0.968114 | 0.409316 | 0.613013 | ⋯ | 27.515314 |  9.570865 | 27.515314 |  9.570865 | 42.136798 | 55.15352 | 47.46304 | 34.446320 |  1 | NA |\n",
       "| 23 | 42 | 1 | 19 | 1.533333 | 1.1 | 1 | 2 | 0.098809 | 0.806738 | 0.216519 | ⋯ | 23.392942 | 35.360805 | 23.392942 | 35.360805 | 26.620756 | 47.82586 | 52.95494 | 31.749840 |  1 | NA |\n",
       "| 54 | 43 | 2 | 23 | 5.800000 | 5.4 | 2 | 3 | 0.793604 | 0.937713 | 0.921374 | ⋯ |  6.812496 |  7.483955 |  6.812496 |  7.483955 |  6.820207 | 11.34155 | 11.62932 |  7.107975 | NA |  2 |\n",
       "| 24 | 44 | 1 | 19 | 3.333333 | 3.6 | 2 | 4 | 0.773060 | 0.156405 | 0.126385 | ⋯ | 45.849798 | 30.969060 | 45.849798 | 30.969060 | 39.846950 | 58.43623 | 52.05877 | 33.469490 |  1 | NA |\n",
       "| 25 | 45 | 1 | 18 | 3.533333 | 3.4 | 1 | 1 | 0.360578 | 0.754495 | 0.910181 | ⋯ | 24.906473 | 12.206128 | 24.906473 | 12.206128 | 27.787943 | 48.61180 | 43.16880 | 22.344938 |  1 | NA |\n",
       "| 26 | 46 | 1 | 18 | 3.733333 | 3.9 | 1 | 2 | 0.470472 | 0.847806 | 0.568259 | ⋯ | 20.214719 | 23.937411 | 20.214719 | 23.937411 | 35.182311 | 48.64727 | 50.24271 | 36.777751 |  1 | NA |\n",
       "| 55 | 47 | 1 | 21 | 4.533333 | 4.6 | 2 | 3 | 0.290574 | 0.862120 | 0.922738 | ⋯ | 40.435225 |  6.273732 | 40.435225 |  6.273732 | 38.448371 | 71.85541 | 57.21477 | 23.807731 | NA |  2 |\n",
       "| 56 | 48 | 1 | 21 | 6.266667 | 6.4 | 2 | 4 | 0.280703 | 0.903536 | 0.856406 | ⋯ | 30.957788 | 32.650622 | 30.957788 | 32.650622 | 34.557186 | 62.02840 | 62.75390 | 35.282686 | NA |  2 |\n",
       "| 27 | 49 | 1 | 18 | 4.066667 | 3.9 | 1 | 1 | 0.596984 | 0.915680 | 0.220450 | ⋯ | 36.315944 | 19.596923 | 36.315944 | 19.596923 | 34.092329 | 47.89400 | 40.72870 | 26.927035 |  1 | NA |\n",
       "| 28 | 50 | 1 | 22 | 3.533333 | 4.0 | 1 | 2 | 0.441706 | 0.465811 | 0.898229 | ⋯ | 49.976253 | 52.946541 | 49.976253 | 52.946541 | 42.058785 | 66.67684 | 67.94982 | 43.331766 |  1 | NA |\n",
       "| 57 | 51 | 1 | 32 | 5.400000 | 5.2 | 1 | 1 | 0.544286 | 0.636738 | 0.017402 | ⋯ | 29.761796 | 31.923621 | 29.761796 | 31.923621 | 29.516998 | 62.33058 | 63.25708 | 30.443495 | NA |  2 |\n",
       "| 58 | 52 | 1 | 25 | 4.600000 | 4.6 | 1 | 2 | 0.685519 | 0.223581 | 0.731762 | ⋯ | 49.922540 |  9.663027 | 49.922540 |  9.663027 | 46.249246 | 33.45417 | 16.78825 | 29.126358 | NA |  2 |\n",
       "| 59 | 53 | 1 | 25 | 4.800000 | 4.7 | 2 | 3 | 0.542539 | 0.654082 | 0.462063 | ⋯ | 50.040153 | 26.921485 | 50.040153 | 26.921485 | 46.460700 | 75.49609 | 65.58809 | 36.185736 | NA |  2 |\n",
       "| 29 | 54 | 2 | 25 | 3.466667 | 3.5 | 2 | 4 | 0.556151 | 0.197305 | 0.069665 | ⋯ | 35.206903 | 31.809852 | 35.206903 | 31.809852 | 28.858946 | 52.77398 | 51.31810 | 27.349145 |  1 | NA |\n",
       "| 60 | 55 | 1 | 22 | 4.866667 | 4.8 | 1 | 1 | 0.302054 | 0.316886 | 0.455736 | ⋯ | 29.116065 | 10.546892 | 29.116065 | 10.546892 | 25.121483 | 29.17354 | 20.92058 | 16.868518 | NA |  2 |\n",
       "| 61 | 56 | 2 | 23 | 5.200000 | 5.5 | 1 | 2 | 0.661348 | 0.080903 | 0.039764 | ⋯ | 33.450922 | 45.888994 | 33.450922 | 45.888994 | 37.655035 | 59.26221 | 66.07742 | 42.469070 | NA |  2 |\n",
       "| 30 | 57 | 2 | 28 | 3.200000 | 4.0 | 2 | 3 | 0.576626 | 0.693561 | 0.224544 | ⋯ | 38.849798 | 50.704230 | 38.849798 | 50.704230 | 37.050263 | 43.70477 | 48.78524 | 42.130734 |  1 | NA |\n",
       "| 62 | 58 | 2 | 21 | 5.800000 | 5.8 | 2 | 4 | 0.400696 | 0.098623 | 0.983120 | ⋯ | 42.544502 | 28.538120 | 42.544502 | 28.538120 | 41.828466 | 69.74460 | 62.77043 | 35.629927 | NA |  2 |\n",
       "| 31 | 59 | 1 | 23 | 4.400000 | 4.3 | 1 | 1 | 0.311214 | 0.675456 | 0.151631 | ⋯ | 22.072701 |  6.557665 | 22.072701 |  6.557665 | 24.344810 | 51.66861 | 43.96231 | 17.614362 |  1 | NA |\n",
       "| 63 | 60 | 2 | 22 | 4.666667 | 5.3 | 1 | 2 | 0.383654 | 0.219801 | 0.384884 | ⋯ | 63.859043 | 56.660872 | 63.859043 | 56.660872 | 39.528503 | 46.62174 | 43.68915 | 36.595914 | NA |  2 |\n",
       "| 32 | 61 | 1 | 22 | 4.666667 | 4.5 | 2 | 3 | 0.203108 | 0.255263 | 0.020043 | ⋯ | 36.079165 | 41.014174 | 36.079165 | 41.014174 | 33.332458 | 59.27638 | 60.56291 | 35.545559 |  1 | NA |\n",
       "| 33 | 62 | 1 | 21 | 4.066667 | 3.8 | 2 | 4 | 0.184704 | 0.823031 | 0.520917 | ⋯ | 37.084125 | 21.299790 | 37.084125 | 21.299790 | 37.268786 | 42.64947 | 35.68599 | 29.976607 |  1 | NA |\n",
       "| 64 | 63 | 1 | 22 | 5.666667 | 5.5 | 1 | 1 | 0.119472 | 0.971503 | 0.541606 | ⋯ | 36.300861 | 41.038616 | 36.300861 | 41.038616 | 35.220827 | 59.57322 | 61.60369 | 37.407483 | NA |  2 |\n",
       "| 34 | 64 | 1 | 29 | 4.266667 | 4.5 | 1 | 2 | 0.371137 | 0.219308 | 0.786338 | ⋯ | 31.756171 | 21.907097 | 31.756171 | 21.907097 | 27.784087 | 60.02939 | 52.51055 | 23.848063 |  1 | NA |\n",
       "| 65 | 65 | 2 | 27 | 5.466667 | 5.7 | 2 | 3 | 0.274705 | 0.392973 | 0.824120 | ⋯ | 33.703571 | 11.791634 | 33.703571 | 11.791634 | 32.413860 | 49.45075 | 40.05992 | 22.675221 | NA |  2 |\n",
       "\n"
      ],
      "text/plain": [
       "   participant sex age SBSOD_average SBSOD_CY_average Route_Order RouteOrder_4\n",
       "1   1          1   21  3.000000      2.5              1           1           \n",
       "35  2          2   23  5.533333      5.2              1           2           \n",
       "36  3          1   21  4.533333      4.6              2           3           \n",
       "37  4          1   18  4.400000      4.8              2           4           \n",
       "2   5          1   22  4.066667      4.2              1           1           \n",
       "38  6          1   21  4.533333      5.3              1           2           \n",
       "39  7          1   23  5.000000      5.1              2           3           \n",
       "3   8          1   21  3.533333      4.4              2           4           \n",
       "4   9          1   31  4.733333      4.5              1           1           \n",
       "5  10          1   19  3.933333      4.1              1           2           \n",
       "6  11          1   22  3.400000      3.7              2           3           \n",
       "40 12          2   25  5.000000      5.1              2           4           \n",
       "7  13          1   21  3.400000      3.7              1           1           \n",
       "41 14          1   20  5.000000      5.1              1           2           \n",
       "42 15          1   20  5.400000      5.4              2           3           \n",
       "8  16          2   24  4.266667      4.2              2           4           \n",
       "43 17          1   19  4.733333      4.6              1           1           \n",
       "44 18          2   22  6.066667      6.4              1           2           \n",
       "9  19          1   20  3.733333      3.5              2           3           \n",
       "45 20          2   22  5.066667      5.1              2           4           \n",
       "46 21          1   19  4.466667      4.8              1           1           \n",
       "10 22          1   18  4.533333      4.4              1           2           \n",
       "47 23          1   18  4.200000      5.0              2           3           \n",
       "11 24          1   19  4.200000      4.3              2           4           \n",
       "12 25          1   18  4.533333      4.4              1           1           \n",
       "48 26          2   24  5.400000      5.5              1           2           \n",
       "13 27          2   21  4.200000      4.4              2           3           \n",
       "14 28          2   19  3.333333      3.2              2           4           \n",
       "49 29          1   19  5.000000      5.1              1           1           \n",
       "15 30          1   18  4.133333      4.4              1           2           \n",
       "⋮  ⋮           ⋮   ⋮   ⋮             ⋮                ⋮           ⋮           \n",
       "50 36          1   23  4.933333      5.2              2           4           \n",
       "51 37          2   21  5.333333      5.4              1           1           \n",
       "21 38          1   24  2.800000      2.6              1           2           \n",
       "52 39          1   19  5.066667      5.6              2           3           \n",
       "53 40          2   20  4.533333      4.6              2           4           \n",
       "22 41          1   18  3.800000      3.9              1           1           \n",
       "23 42          1   19  1.533333      1.1              1           2           \n",
       "54 43          2   23  5.800000      5.4              2           3           \n",
       "24 44          1   19  3.333333      3.6              2           4           \n",
       "25 45          1   18  3.533333      3.4              1           1           \n",
       "26 46          1   18  3.733333      3.9              1           2           \n",
       "55 47          1   21  4.533333      4.6              2           3           \n",
       "56 48          1   21  6.266667      6.4              2           4           \n",
       "27 49          1   18  4.066667      3.9              1           1           \n",
       "28 50          1   22  3.533333      4.0              1           2           \n",
       "57 51          1   32  5.400000      5.2              1           1           \n",
       "58 52          1   25  4.600000      4.6              1           2           \n",
       "59 53          1   25  4.800000      4.7              2           3           \n",
       "29 54          2   25  3.466667      3.5              2           4           \n",
       "60 55          1   22  4.866667      4.8              1           1           \n",
       "61 56          2   23  5.200000      5.5              1           2           \n",
       "30 57          2   28  3.200000      4.0              2           3           \n",
       "62 58          2   21  5.800000      5.8              2           4           \n",
       "31 59          1   23  4.400000      4.3              1           1           \n",
       "63 60          2   22  4.666667      5.3              1           2           \n",
       "32 61          1   22  4.666667      4.5              2           3           \n",
       "33 62          1   21  4.066667      3.8              2           4           \n",
       "64 63          1   22  5.666667      5.5              1           1           \n",
       "34 64          1   29  4.266667      4.5              1           2           \n",
       "65 65          2   27  5.466667      5.7              2           3           \n",
       "   r2_Overall r2_RouteA r2_RouteB ⋯ error_start_routeA_SAME\n",
       "1  0.945822   0.826816  0.956720  ⋯ 25.72205               \n",
       "35 0.146714   0.666080  0.778289  ⋯ 13.86284               \n",
       "36 0.282986   0.554284  0.333108  ⋯ 25.25847               \n",
       "37 0.361452   0.388110  0.915188  ⋯ 23.92846               \n",
       "2  0.505958   0.418005  0.956754  ⋯ 25.85940               \n",
       "38 0.382166   0.475093  0.710581  ⋯ 33.46825               \n",
       "39 0.297213   0.334312  0.706555  ⋯ 24.20417               \n",
       "3  0.941772   0.597372  0.390829  ⋯ 45.90709               \n",
       "4  0.169934   0.431045  0.250685  ⋯ 38.37047               \n",
       "5  0.170237   0.662662  0.104487  ⋯ 44.82641               \n",
       "6  0.670268   0.265635  0.248272  ⋯ 35.64581               \n",
       "40 0.290037   0.639134  0.883501  ⋯ 21.62446               \n",
       "7  0.140301   0.623992  0.013201  ⋯ 28.59036               \n",
       "41 0.381509   0.792664  0.890269  ⋯ 48.58003               \n",
       "42 0.082145   0.846064  0.326995  ⋯ 47.43578               \n",
       "8  0.838211   0.950682  0.953941  ⋯ 22.80177               \n",
       "43 0.281402   0.532670  0.435764  ⋯ 56.95777               \n",
       "44 0.217813   0.582864  0.924027  ⋯ 21.46621               \n",
       "9  0.406231   0.495616  0.634477  ⋯ 60.08721               \n",
       "45 0.531239   0.737716  0.456630  ⋯ 29.62084               \n",
       "46 0.732263   0.427124  0.061523  ⋯ 43.19995               \n",
       "10 0.167906   0.909632  0.775472  ⋯ 22.54112               \n",
       "47 0.634805   0.320326  0.836064  ⋯ 26.18473               \n",
       "11 0.696138   0.360700  0.848181  ⋯ 34.30877               \n",
       "12 0.250751   0.692792  0.261812  ⋯ 44.79715               \n",
       "48 0.425114   0.675725  0.770982  ⋯ 22.21348               \n",
       "13 0.237083   0.848424  0.949372  ⋯ 19.97536               \n",
       "14 0.257295   0.011129  0.468226  ⋯ 55.22625               \n",
       "49 0.406414   0.634523  0.771903  ⋯ 21.77695               \n",
       "15 0.941883   0.725415  0.467196  ⋯ 38.31158               \n",
       "⋮  ⋮          ⋮         ⋮         ⋱ ⋮                      \n",
       "50 0.754574   0.385343  0.689159  ⋯ 19.954171              \n",
       "51 0.736374   0.818551  0.913587  ⋯ 34.374455              \n",
       "21 0.326625   0.239607  0.501509  ⋯ 53.315944              \n",
       "52 0.267073   0.902257  0.250251  ⋯ 36.340830              \n",
       "53 0.423769   0.032304  0.746683  ⋯ 35.889059              \n",
       "22 0.968114   0.409316  0.613013  ⋯ 27.515314              \n",
       "23 0.098809   0.806738  0.216519  ⋯ 23.392942              \n",
       "54 0.793604   0.937713  0.921374  ⋯  6.812496              \n",
       "24 0.773060   0.156405  0.126385  ⋯ 45.849798              \n",
       "25 0.360578   0.754495  0.910181  ⋯ 24.906473              \n",
       "26 0.470472   0.847806  0.568259  ⋯ 20.214719              \n",
       "55 0.290574   0.862120  0.922738  ⋯ 40.435225              \n",
       "56 0.280703   0.903536  0.856406  ⋯ 30.957788              \n",
       "27 0.596984   0.915680  0.220450  ⋯ 36.315944              \n",
       "28 0.441706   0.465811  0.898229  ⋯ 49.976253              \n",
       "57 0.544286   0.636738  0.017402  ⋯ 29.761796              \n",
       "58 0.685519   0.223581  0.731762  ⋯ 49.922540              \n",
       "59 0.542539   0.654082  0.462063  ⋯ 50.040153              \n",
       "29 0.556151   0.197305  0.069665  ⋯ 35.206903              \n",
       "60 0.302054   0.316886  0.455736  ⋯ 29.116065              \n",
       "61 0.661348   0.080903  0.039764  ⋯ 33.450922              \n",
       "30 0.576626   0.693561  0.224544  ⋯ 38.849798              \n",
       "62 0.400696   0.098623  0.983120  ⋯ 42.544502              \n",
       "31 0.311214   0.675456  0.151631  ⋯ 22.072701              \n",
       "63 0.383654   0.219801  0.384884  ⋯ 63.859043              \n",
       "32 0.203108   0.255263  0.020043  ⋯ 36.079165              \n",
       "33 0.184704   0.823031  0.520917  ⋯ 37.084125              \n",
       "64 0.119472   0.971503  0.541606  ⋯ 36.300861              \n",
       "34 0.371137   0.219308  0.786338  ⋯ 31.756171              \n",
       "65 0.274705   0.392973  0.824120  ⋯ 33.703571              \n",
       "   error_start_routeB_SAME error_target_routeA_SAME error_target_routeB_SAME\n",
       "1   6.191736               25.72205                  6.191736               \n",
       "35 10.674301               13.86284                 10.674301               \n",
       "36 11.774200               25.25847                 11.774200               \n",
       "37  7.546892               23.92846                  7.546892               \n",
       "2  13.154199               25.85940                 13.154199               \n",
       "38  5.349743               33.46825                  5.349743               \n",
       "39  6.770745               24.20417                  6.770745               \n",
       "3  14.594749               45.90709                 14.594749               \n",
       "4  15.725679               38.37047                 15.725679               \n",
       "5  32.505434               44.82641                 32.505434               \n",
       "6  42.896540               35.64581                 42.896540               \n",
       "40  8.169082               21.62446                  8.169082               \n",
       "7  18.846923               28.59036                 18.846923               \n",
       "41 37.652355               48.58003                 37.652355               \n",
       "42 12.904109               47.43578                 12.904109               \n",
       "8   6.067789               22.80177                  6.067789               \n",
       "43 47.352424               56.95777                 47.352424               \n",
       "44  8.828593               21.46621                  8.828593               \n",
       "9  27.913568               60.08721                 27.913568               \n",
       "45 24.774618               29.62084                 24.774618               \n",
       "46 60.502213               43.19995                 60.502213               \n",
       "10 12.473612               22.54112                 12.473612               \n",
       "47 10.964400               26.18473                 10.964400               \n",
       "11 16.011745               34.30877                 16.011745               \n",
       "12 19.881999               44.79715                 19.881999               \n",
       "48 10.114940               22.21348                 10.114940               \n",
       "13  3.961296               19.97536                  3.961296               \n",
       "14 57.812619               55.22625                 57.812619               \n",
       "49 21.914869               21.77695                 21.914869               \n",
       "15 14.404109               38.31158                 14.404109               \n",
       "⋮  ⋮                       ⋮                        ⋮                       \n",
       "50  9.035324               19.954171                 9.035324               \n",
       "51 10.536437               34.374455                10.536437               \n",
       "21 38.323226               53.315944                38.323226               \n",
       "52 46.570105               36.340830                46.570105               \n",
       "53 70.206366               35.889059                70.206366               \n",
       "22  9.570865               27.515314                 9.570865               \n",
       "23 35.360805               23.392942                35.360805               \n",
       "54  7.483955                6.812496                 7.483955               \n",
       "24 30.969060               45.849798                30.969060               \n",
       "25 12.206128               24.906473                12.206128               \n",
       "26 23.937411               20.214719                23.937411               \n",
       "55  6.273732               40.435225                 6.273732               \n",
       "56 32.650622               30.957788                32.650622               \n",
       "27 19.596923               36.315944                19.596923               \n",
       "28 52.946541               49.976253                52.946541               \n",
       "57 31.923621               29.761796                31.923621               \n",
       "58  9.663027               49.922540                 9.663027               \n",
       "59 26.921485               50.040153                26.921485               \n",
       "29 31.809852               35.206903                31.809852               \n",
       "60 10.546892               29.116065                10.546892               \n",
       "61 45.888994               33.450922                45.888994               \n",
       "30 50.704230               38.849798                50.704230               \n",
       "62 28.538120               42.544502                28.538120               \n",
       "31  6.557665               22.072701                 6.557665               \n",
       "63 56.660872               63.859043                56.660872               \n",
       "32 41.014174               36.079165                41.014174               \n",
       "33 21.299790               37.084125                21.299790               \n",
       "64 41.038616               36.300861                41.038616               \n",
       "34 21.907097               31.756171                21.907097               \n",
       "65 11.791634               33.703571                11.791634               \n",
       "   error_start_RouteA_Different error_target_RouteA_Different\n",
       "1  19.78113                     28.67941                     \n",
       "35 27.25540                     28.84311                     \n",
       "36 25.08009                     48.14568                     \n",
       "37 29.65694                     27.67370                     \n",
       "2  27.21885                     49.21212                     \n",
       "38 34.13608                     52.75195                     \n",
       "39 22.29536                     44.46375                     \n",
       "3  44.21325                     63.79064                     \n",
       "4  37.61004                     55.89559                     \n",
       "5  46.35503                     62.59099                     \n",
       "6  39.89112                     50.86219                     \n",
       "40 31.28554                     56.61508                     \n",
       "7  35.82925                     64.43335                     \n",
       "41 37.41291                     63.55189                     \n",
       "42 39.16316                     58.43201                     \n",
       "8  22.49092                     22.47940                     \n",
       "43 45.34423                     68.78656                     \n",
       "44 21.78126                     54.24455                     \n",
       "9  43.94544                     58.45430                     \n",
       "45 31.85720                     48.87499                     \n",
       "46 34.75982                     53.63696                     \n",
       "10 28.10023                     29.21999                     \n",
       "47 25.32889                     56.17313                     \n",
       "11 33.07057                     66.08919                     \n",
       "12 37.76242                     67.32999                     \n",
       "48 26.65461                     39.34231                     \n",
       "13 22.28916                     16.22373                     \n",
       "14 49.30908                     69.03457                     \n",
       "49 23.49627                     33.37772                     \n",
       "15 39.62590                     52.30466                     \n",
       "⋮  ⋮                            ⋮                            \n",
       "50 34.763249                    31.21050                     \n",
       "51 39.218645                    46.15732                     \n",
       "21 41.967547                    48.20922                     \n",
       "52 33.095246                    47.46942                     \n",
       "53 42.189698                    59.62152                     \n",
       "22 42.136798                    55.15352                     \n",
       "23 26.620756                    47.82586                     \n",
       "54  6.820207                    11.34155                     \n",
       "24 39.846950                    58.43623                     \n",
       "25 27.787943                    48.61180                     \n",
       "26 35.182311                    48.64727                     \n",
       "55 38.448371                    71.85541                     \n",
       "56 34.557186                    62.02840                     \n",
       "27 34.092329                    47.89400                     \n",
       "28 42.058785                    66.67684                     \n",
       "57 29.516998                    62.33058                     \n",
       "58 46.249246                    33.45417                     \n",
       "59 46.460700                    75.49609                     \n",
       "29 28.858946                    52.77398                     \n",
       "60 25.121483                    29.17354                     \n",
       "61 37.655035                    59.26221                     \n",
       "30 37.050263                    43.70477                     \n",
       "62 41.828466                    69.74460                     \n",
       "31 24.344810                    51.66861                     \n",
       "63 39.528503                    46.62174                     \n",
       "32 33.332458                    59.27638                     \n",
       "33 37.268786                    42.64947                     \n",
       "64 35.220827                    59.57322                     \n",
       "34 27.784087                    60.02939                     \n",
       "65 32.413860                    49.45075                     \n",
       "   error_start_RouteB_Different error_target_RouteB_Different low_SBSOD\n",
       "1  20.309270                    11.41099                       1       \n",
       "35 27.476587                    25.88888                      NA       \n",
       "36 42.366709                    19.30112                      NA       \n",
       "37 20.653024                    22.63626                      NA       \n",
       "2  43.767034                    21.77377                       1       \n",
       "38 40.701161                    22.08529                      NA       \n",
       "39 36.992285                    14.82390                      NA       \n",
       "3  50.371065                    30.79368                       1       \n",
       "4  46.190677                    27.90513                       1       \n",
       "5  57.310572                    41.07461                       1       \n",
       "6  53.969643                    42.99858                       1       \n",
       "40 50.848492                    25.51895                      NA       \n",
       "7  60.257595                    31.65349                       1       \n",
       "41 58.868605                    32.72962                      NA       \n",
       "42 43.632722                    24.36387                      NA       \n",
       "8  15.307694                    15.31922                       1       \n",
       "43 64.669987                    41.22765                      NA       \n",
       "44 48.828426                    16.36514                      NA       \n",
       "9  44.665600                    30.15674                       1       \n",
       "45 46.798036                    29.78025                      NA       \n",
       "46 61.052217                    42.17507                      NA       \n",
       "10 24.905342                    23.78559                       1       \n",
       "47 49.650131                    18.80589                      NA       \n",
       "11 58.247610                    25.22899                       1       \n",
       "12 56.652070                    27.08450                       1       \n",
       "48 34.157217                    21.46952                      NA       \n",
       "13  9.360554                    15.42599                       1       \n",
       "14 70.143012                    50.41752                       1       \n",
       "49 33.436830                    23.55538                      NA       \n",
       "15 42.058595                    29.37984                       1       \n",
       "⋮  ⋮                            ⋮                             ⋮        \n",
       "50 26.53099                     30.083743                     NA       \n",
       "51 35.94103                     29.002352                     NA       \n",
       "21 41.78377                     35.542096                      1       \n",
       "52 51.85340                     37.479221                     NA       \n",
       "53 74.32893                     56.897115                     NA       \n",
       "22 47.46304                     34.446320                      1       \n",
       "23 52.95494                     31.749840                      1       \n",
       "54 11.62932                      7.107975                     NA       \n",
       "24 52.05877                     33.469490                      1       \n",
       "25 43.16880                     22.344938                      1       \n",
       "26 50.24271                     36.777751                      1       \n",
       "55 57.21477                     23.807731                     NA       \n",
       "56 62.75390                     35.282686                     NA       \n",
       "27 40.72870                     26.927035                      1       \n",
       "28 67.94982                     43.331766                      1       \n",
       "57 63.25708                     30.443495                     NA       \n",
       "58 16.78825                     29.126358                     NA       \n",
       "59 65.58809                     36.185736                     NA       \n",
       "29 51.31810                     27.349145                      1       \n",
       "60 20.92058                     16.868518                     NA       \n",
       "61 66.07742                     42.469070                     NA       \n",
       "30 48.78524                     42.130734                      1       \n",
       "62 62.77043                     35.629927                     NA       \n",
       "31 43.96231                     17.614362                      1       \n",
       "63 43.68915                     36.595914                     NA       \n",
       "32 60.56291                     35.545559                      1       \n",
       "33 35.68599                     29.976607                      1       \n",
       "64 61.60369                     37.407483                     NA       \n",
       "34 52.51055                     23.848063                      1       \n",
       "65 40.05992                     22.675221                     NA       \n",
       "   high_SBSOD\n",
       "1  NA        \n",
       "35  2        \n",
       "36  2        \n",
       "37  2        \n",
       "2  NA        \n",
       "38  2        \n",
       "39  2        \n",
       "3  NA        \n",
       "4  NA        \n",
       "5  NA        \n",
       "6  NA        \n",
       "40  2        \n",
       "7  NA        \n",
       "41  2        \n",
       "42  2        \n",
       "8  NA        \n",
       "43  2        \n",
       "44  2        \n",
       "9  NA        \n",
       "45  2        \n",
       "46  2        \n",
       "10 NA        \n",
       "47  2        \n",
       "11 NA        \n",
       "12 NA        \n",
       "48  2        \n",
       "13 NA        \n",
       "14 NA        \n",
       "49  2        \n",
       "15 NA        \n",
       "⋮  ⋮         \n",
       "50  2        \n",
       "51  2        \n",
       "21 NA        \n",
       "52  2        \n",
       "53  2        \n",
       "22 NA        \n",
       "23 NA        \n",
       "54  2        \n",
       "24 NA        \n",
       "25 NA        \n",
       "26 NA        \n",
       "55  2        \n",
       "56  2        \n",
       "27 NA        \n",
       "28 NA        \n",
       "57  2        \n",
       "58  2        \n",
       "59  2        \n",
       "29 NA        \n",
       "60  2        \n",
       "61  2        \n",
       "30 NA        \n",
       "62  2        \n",
       "31 NA        \n",
       "63  2        \n",
       "32 NA        \n",
       "33 NA        \n",
       "64  2        \n",
       "34 NA        \n",
       "65  2        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#View(BySubsData) #they're the same. good.\n",
    "BySubsData"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "d69bc346",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "different      same \n",
       "     2067      1546 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##################################################\n",
    "### Check observation numbers for trial types ###\n",
    "##################################################\n",
    "\n",
    "table(AllPointingData$same_or_different)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "129263f4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "   0    1    2 \n",
       "1094  452 2067 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2 = different, 1 = same-seen, 2 = same-unseen\n",
    "table(AllPointingData$trial_type)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "f0755bb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 8 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Ref</th><th scope=col>Landmark</th><th scope=col>Choice</th><th scope=col>Connectivity</th><th scope=col>Integration..HH.</th><th scope=col>Route</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>27</td><td>Batty House  </td><td> 12</td><td>2</td><td>0.9475222</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>27</td><td>Lynch Station</td><td> 12</td><td>2</td><td>0.9475222</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>26</td><td>Harris Hall  </td><td> 95</td><td>3</td><td>1.3078476</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>25</td><td>Harvey House </td><td>141</td><td>4</td><td>1.2380958</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>11</td><td>Sauer Center </td><td> 59</td><td>6</td><td>1.5476197</td><td>B</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>12</td><td>Golledge Hall</td><td>234</td><td>7</td><td>1.7857150</td><td>B</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>14</td><td>Tobler Museum</td><td>  3</td><td>3</td><td>1.2548268</td><td>B</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>20</td><td>Snow Church  </td><td>132</td><td>6</td><td>1.4739234</td><td>B</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 8 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & Ref & Landmark & Choice & Connectivity & Integration..HH. & Route\\\\\n",
       "  & <int> & <chr> & <int> & <int> & <dbl> & <chr>\\\\\n",
       "\\hline\n",
       "\t1 & 27 & Batty House   &  12 & 2 & 0.9475222 & A\\\\\n",
       "\t2 & 27 & Lynch Station &  12 & 2 & 0.9475222 & A\\\\\n",
       "\t3 & 26 & Harris Hall   &  95 & 3 & 1.3078476 & A\\\\\n",
       "\t4 & 25 & Harvey House  & 141 & 4 & 1.2380958 & A\\\\\n",
       "\t5 & 11 & Sauer Center  &  59 & 6 & 1.5476197 & B\\\\\n",
       "\t6 & 12 & Golledge Hall & 234 & 7 & 1.7857150 & B\\\\\n",
       "\t7 & 14 & Tobler Museum &   3 & 3 & 1.2548268 & B\\\\\n",
       "\t8 & 20 & Snow Church   & 132 & 6 & 1.4739234 & B\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 8 × 6\n",
       "\n",
       "| <!--/--> | Ref &lt;int&gt; | Landmark &lt;chr&gt; | Choice &lt;int&gt; | Connectivity &lt;int&gt; | Integration..HH. &lt;dbl&gt; | Route &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| 1 | 27 | Batty House   |  12 | 2 | 0.9475222 | A |\n",
       "| 2 | 27 | Lynch Station |  12 | 2 | 0.9475222 | A |\n",
       "| 3 | 26 | Harris Hall   |  95 | 3 | 1.3078476 | A |\n",
       "| 4 | 25 | Harvey House  | 141 | 4 | 1.2380958 | A |\n",
       "| 5 | 11 | Sauer Center  |  59 | 6 | 1.5476197 | B |\n",
       "| 6 | 12 | Golledge Hall | 234 | 7 | 1.7857150 | B |\n",
       "| 7 | 14 | Tobler Museum |   3 | 3 | 1.2548268 | B |\n",
       "| 8 | 20 | Snow Church   | 132 | 6 | 1.4739234 | B |\n",
       "\n"
      ],
      "text/plain": [
       "  Ref Landmark      Choice Connectivity Integration..HH. Route\n",
       "1 27  Batty House    12    2            0.9475222        A    \n",
       "2 27  Lynch Station  12    2            0.9475222        A    \n",
       "3 26  Harris Hall    95    3            1.3078476        A    \n",
       "4 25  Harvey House  141    4            1.2380958        A    \n",
       "5 11  Sauer Center   59    6            1.5476197        B    \n",
       "6 12  Golledge Hall 234    7            1.7857150        B    \n",
       "7 14  Tobler Museum   3    3            1.2548268        B    \n",
       "8 20  Snow Church   132    6            1.4739234        B    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "####################################################\n",
    "#### Adding Axial Map metrics for each landmark ####\n",
    "####################################################\n",
    "\n",
    "# AxialMetrics are contained in this Excel file\n",
    "AxialMapMetrics = read.xls('Axial_Map_Analyses_by_Landmark_35_nodes_system.xlsx', na.strings=c(\"NA\", \"#NULL!\")) \n",
    "head(AxialMapMetrics, n=8)\n",
    "#table(AxialMapMetrics$Landmark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "2b463555",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "  Batty House Golledge Hall   Harris Hall  Harvey House Lynch Station \n",
       "          442           455           453           452           453 \n",
       " Sauer Center   Snow Church Tobler Museum \n",
       "          454           449           455 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "  Batty House Golledge Hall   Harris Hall  Harvey House Lynch Station \n",
       "          454           451           451           451           451 \n",
       " Sauer Center   Snow Church Tobler Museum \n",
       "          451           453           451 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's check the distribution of landmarks as start points and as targets\n",
    "table(AllPointingData$start_landmark)\n",
    "table(AllPointingData$target_landmark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "218d6628",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's start by just assigning the start and target landmark to variables for connectivity\n",
    "AllPointingData$Connectivity_start_landmark <-AllPointingData$start_landmark \n",
    "AllPointingData$Connectivity_target_landmark <- AllPointingData$target_landmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "6072fc8f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's do the same for integration\n",
    "AllPointingData$Integration_start_landmark <- AllPointingData$start_landmark \n",
    "AllPointingData$Integration_target_landmark <- AllPointingData$target_landmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "08bec5f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Let's do the same for choice\n",
    "AllPointingData$Choice_start_landmark <- AllPointingData$start_landmark \n",
    "AllPointingData$Choice_target_landmark <- AllPointingData$target_landmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "ab2d1d36",
   "metadata": {},
   "outputs": [],
   "source": [
    "# TO CORRECT THE ERROR FOR THE DOUBLE COLUMN IN THE NEXT CELL\n",
    "AllPointingData[8] <- list(NULL)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4b70f6b1",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“`funs()` was deprecated in dplyr 0.8.0.\n",
      "Please use a list of either functions or lambdas: \n",
      "\n",
      "  # Simple named list: \n",
      "  list(mean = mean, median = median)\n",
      "\n",
      "  # Auto named with `tibble::lst()`: \n",
      "  tibble::lst(mean, median)\n",
      "\n",
      "  # Using lambdas\n",
      "  list(~ mean(., trim = .2), ~ median(., na.rm = TRUE))\n",
      "\u001b[90mThis warning is displayed once every 8 hours.\u001b[39m\n",
      "\u001b[90mCall `lifecycle::last_warnings()` to see where this warning was generated.\u001b[39m”\n"
     ]
    }
   ],
   "source": [
    "# Now let's assign each landmark its Connectivity value \"Error: Can't transform a data frame with duplicate names\"\n",
    "\n",
    "AllPointingData <- AllPointingData %>%\n",
    "mutate_at(.vars = vars(\"Connectivity_start_landmark\", \"Connectivity_target_landmark\"),\n",
    "          .funs  = funs(recode(., \"Batty House\" = 2, \n",
    "                               \"Lynch Station\" = 2, \n",
    "                               \"Harris Hall\" = 3, \n",
    "                               \"Harvey House\" = 4,  \n",
    "                               \"Sauer Center\" = 6,\n",
    "                               \"Golledge Hall\" = 7, \n",
    "                               \"Tobler Museum\" = 3, \n",
    "                               \"Snow Church\" = 6, \n",
    "                               .default = NA_real_))) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "86278686",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's assign each landmark its Connectivity value (corrected)\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Batty House\"] <- 2\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Lynch Station\"] <- 2\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Harris Hall\"] <- 3\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Harvey House\"] <- 4\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Sauer Center\"] <- 6\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Golledge Hall\"] <- 7\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Tobler Museum\"] <- 3\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == \"Snow Church\"] <- 6\n",
    "AllPointingData$Connectivity_start_landmark[AllPointingData$Connectivity_start_landmark == NA] <- 0\n",
    "\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Batty House\"] <- 2\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Lynch Station\"] <- 2\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Harris Hall\"] <- 3\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Harvey House\"] <- 4\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Sauer Center\"] <- 6\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Golledge Hall\"] <- 7\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Tobler Museum\"] <- 3\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == \"Snow Church\"] <- 6\n",
    "AllPointingData$Connectivity_target_landmark[AllPointingData$Connectivity_target_landmark == NA] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "9a62efa3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's assign each landmark its Integration value (corrected)\n",
    "\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Batty House\"] <- 0.94752222\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Lynch Station\"] <- 0.94752222\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Harris Hall\"] <- 1.3078476\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Harvey House\"] <- 1.2380958\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Sauer Center\"] <- 1.5476197\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Golledge Hall\"] <- 1.785715\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Tobler Museum\"] <- 1.2548268\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == \"Snow Church\"] <- 1.4739234\n",
    "AllPointingData$Integration_start_landmark[AllPointingData$Integration_start_landmark == NA] <- 0\n",
    "\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Batty House\"] <- 0.94752222\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Lynch Station\"] <- 0.94752222\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Harris Hall\"] <- 1.3078476\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Harvey House\"] <- 1.2380958\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Sauer Center\"] <- 1.5476197\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Golledge Hall\"] <- 1.785715\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Tobler Museum\"] <- 1.2548268\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == \"Snow Church\"] <- 1.4739234\n",
    "AllPointingData$Integration_target_landmark[AllPointingData$Integration_target_landmark == NA] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "a38e4e6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's assign each landmark its Choice value (corrected)\n",
    "\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Batty House\"] <- 12\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Lynch Station\"] <- 12\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Harris Hall\"] <- 95\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Harvey House\"] <- 141\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Sauer Center\"] <- 59\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Golledge Hall\"] <- 234\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Tobler Museum\"] <- 3\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == \"Snow Church\"] <- 132\n",
    "AllPointingData$Choice_start_landmark[AllPointingData$Choice_start_landmark == NA] <- 0\n",
    "\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Batty House\"] <- 12\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Lynch Station\"] <- 12\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Harris Hall\"] <- 95\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Harvey House\"] <- 141\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Sauer Center\"] <- 59\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Golledge Hall\"] <- 234\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Tobler Museum\"] <- 3\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == \"Snow Church\"] <- 132\n",
    "AllPointingData$Choice_target_landmark[AllPointingData$Choice_target_landmark == NA] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "75d228ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 34</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>participant</th><th scope=col>sex</th><th scope=col>age</th><th scope=col>SBSOD_average</th><th scope=col>SBSOD_CY_average</th><th scope=col>Route_Order</th><th scope=col>RouteOrder_4</th><th scope=col>n</th><th scope=col>Connectivity</th><th scope=col>Integration_Mean</th><th scope=col>⋯</th><th scope=col>error_start_RouteA</th><th scope=col>error_target_RouteA</th><th scope=col>error_start_RouteB</th><th scope=col>error_target_RouteB</th><th scope=col>Connectivity_start_landmark</th><th scope=col>Connectivity_target_landmark</th><th scope=col>Integration_start_landmark</th><th scope=col>Integration_target_landmark</th><th scope=col>Choice_start_landmark</th><th scope=col>Choice_target_landmark</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>⋯</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>28.19424</td><td>28.19424</td><td>NA</td><td>      NA</td><td>2</td><td>4</td><td>0.94752222</td><td>1.2380958</td><td>12</td><td>141</td></tr>\n",
       "\t<tr><th scope=row>1.1</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>12.52864</td><td>12.52864</td><td>NA</td><td>      NA</td><td>2</td><td>3</td><td>0.94752222</td><td>1.3078476</td><td>12</td><td>95 </td></tr>\n",
       "\t<tr><th scope=row>1.2</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>21.30802</td><td>      NA</td><td>NA</td><td>21.30802</td><td>2</td><td>3</td><td>0.94752222</td><td>1.2548268</td><td>12</td><td>3  </td></tr>\n",
       "\t<tr><th scope=row>1.3</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>41.19948</td><td>      NA</td><td>NA</td><td>41.19948</td><td>2</td><td>6</td><td>0.94752222</td><td>1.4739234</td><td>12</td><td>132</td></tr>\n",
       "\t<tr><th scope=row>1.4</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>16.33169</td><td>      NA</td><td>NA</td><td>16.33169</td><td>2</td><td>6</td><td>0.94752222</td><td>1.5476197</td><td>12</td><td>59 </td></tr>\n",
       "\t<tr><th scope=row>1.5</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>26.76768</td><td>      NA</td><td>NA</td><td>26.76768</td><td>2</td><td>7</td><td>0.94752222</td><td>1.785715 </td><td>12</td><td>234</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 34\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & participant & sex & age & SBSOD\\_average & SBSOD\\_CY\\_average & Route\\_Order & RouteOrder\\_4 & n & Connectivity & Integration\\_Mean & ⋯ & error\\_start\\_RouteA & error\\_target\\_RouteA & error\\_start\\_RouteB & error\\_target\\_RouteB & Connectivity\\_start\\_landmark & Connectivity\\_target\\_landmark & Integration\\_start\\_landmark & Integration\\_target\\_landmark & Choice\\_start\\_landmark & Choice\\_target\\_landmark\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <dbl> & <int> & <int> & <int> & <dbl> & <dbl> & ⋯ & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <chr> & <chr> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 28.19424 & 28.19424 & NA &       NA & 2 & 4 & 0.94752222 & 1.2380958 & 12 & 141\\\\\n",
       "\t1.1 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 12.52864 & 12.52864 & NA &       NA & 2 & 3 & 0.94752222 & 1.3078476 & 12 & 95 \\\\\n",
       "\t1.2 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 21.30802 &       NA & NA & 21.30802 & 2 & 3 & 0.94752222 & 1.2548268 & 12 & 3  \\\\\n",
       "\t1.3 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 41.19948 &       NA & NA & 41.19948 & 2 & 6 & 0.94752222 & 1.4739234 & 12 & 132\\\\\n",
       "\t1.4 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 16.33169 &       NA & NA & 16.33169 & 2 & 6 & 0.94752222 & 1.5476197 & 12 & 59 \\\\\n",
       "\t1.5 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 26.76768 &       NA & NA & 26.76768 & 2 & 7 & 0.94752222 & 1.785715  & 12 & 234\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 34\n",
       "\n",
       "| <!--/--> | participant &lt;int&gt; | sex &lt;int&gt; | age &lt;int&gt; | SBSOD_average &lt;dbl&gt; | SBSOD_CY_average &lt;dbl&gt; | Route_Order &lt;int&gt; | RouteOrder_4 &lt;int&gt; | n &lt;int&gt; | Connectivity &lt;dbl&gt; | Integration_Mean &lt;dbl&gt; | ⋯ ⋯ | error_start_RouteA &lt;dbl&gt; | error_target_RouteA &lt;dbl&gt; | error_start_RouteB &lt;dbl&gt; | error_target_RouteB &lt;dbl&gt; | Connectivity_start_landmark &lt;dbl&gt; | Connectivity_target_landmark &lt;dbl&gt; | Integration_start_landmark &lt;chr&gt; | Integration_target_landmark &lt;chr&gt; | Choice_start_landmark &lt;chr&gt; | Choice_target_landmark &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 28.19424 | 28.19424 | NA |       NA | 2 | 4 | 0.94752222 | 1.2380958 | 12 | 141 |\n",
       "| 1.1 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 12.52864 | 12.52864 | NA |       NA | 2 | 3 | 0.94752222 | 1.3078476 | 12 | 95  |\n",
       "| 1.2 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 21.30802 |       NA | NA | 21.30802 | 2 | 3 | 0.94752222 | 1.2548268 | 12 | 3   |\n",
       "| 1.3 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 41.19948 |       NA | NA | 41.19948 | 2 | 6 | 0.94752222 | 1.4739234 | 12 | 132 |\n",
       "| 1.4 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 16.33169 |       NA | NA | 16.33169 | 2 | 6 | 0.94752222 | 1.5476197 | 12 | 59  |\n",
       "| 1.5 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 26.76768 |       NA | NA | 26.76768 | 2 | 7 | 0.94752222 | 1.785715  | 12 | 234 |\n",
       "\n"
      ],
      "text/plain": [
       "    participant sex age SBSOD_average SBSOD_CY_average Route_Order RouteOrder_4\n",
       "1   1           1   21  3             2.5              1           1           \n",
       "1.1 1           1   21  3             2.5              1           1           \n",
       "1.2 1           1   21  3             2.5              1           1           \n",
       "1.3 1           1   21  3             2.5              1           1           \n",
       "1.4 1           1   21  3             2.5              1           1           \n",
       "1.5 1           1   21  3             2.5              1           1           \n",
       "    n  Connectivity Integration_Mean ⋯ error_start_RouteA error_target_RouteA\n",
       "1   56 3.71429      1.39777          ⋯ 28.19424           28.19424           \n",
       "1.1 56 3.71429      1.39777          ⋯ 12.52864           12.52864           \n",
       "1.2 56 3.71429      1.39777          ⋯ 21.30802                 NA           \n",
       "1.3 56 3.71429      1.39777          ⋯ 41.19948                 NA           \n",
       "1.4 56 3.71429      1.39777          ⋯ 16.33169                 NA           \n",
       "1.5 56 3.71429      1.39777          ⋯ 26.76768                 NA           \n",
       "    error_start_RouteB error_target_RouteB Connectivity_start_landmark\n",
       "1   NA                       NA            2                          \n",
       "1.1 NA                       NA            2                          \n",
       "1.2 NA                 21.30802            2                          \n",
       "1.3 NA                 41.19948            2                          \n",
       "1.4 NA                 16.33169            2                          \n",
       "1.5 NA                 26.76768            2                          \n",
       "    Connectivity_target_landmark Integration_start_landmark\n",
       "1   4                            0.94752222                \n",
       "1.1 3                            0.94752222                \n",
       "1.2 3                            0.94752222                \n",
       "1.3 6                            0.94752222                \n",
       "1.4 6                            0.94752222                \n",
       "1.5 7                            0.94752222                \n",
       "    Integration_target_landmark Choice_start_landmark Choice_target_landmark\n",
       "1   1.2380958                   12                    141                   \n",
       "1.1 1.3078476                   12                    95                    \n",
       "1.2 1.2548268                   12                    3                     \n",
       "1.3 1.4739234                   12                    132                   \n",
       "1.4 1.5476197                   12                    59                    \n",
       "1.5 1.785715                    12                    234                   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(AllPointingData)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "70f9ab2e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 8 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Landmark</th><th scope=col>Connectivity</th><th scope=col>Visual.Integration..HH.</th><th scope=col>Through.Vision</th><th scope=col>Route</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>Batty House  </td><td>101.1310</td><td>2.09182</td><td>1334.650</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>Lynch Station</td><td>106.0000</td><td>2.19206</td><td> 778.918</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>Harris Hall  </td><td>100.8160</td><td>2.53761</td><td>1001.240</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>Harvey House </td><td> 68.9032</td><td>2.42301</td><td> 287.387</td><td>A</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>Sauer Center </td><td> 64.4815</td><td>2.44747</td><td> 286.222</td><td>B</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>Golledge Hall</td><td>108.5370</td><td>2.90956</td><td>4539.110</td><td>B</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>Tobler Museum</td><td> 80.0175</td><td>2.71935</td><td> 522.333</td><td>B</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>Snow Church  </td><td> 94.5893</td><td>2.60978</td><td> 658.607</td><td>B</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 8 × 5\n",
       "\\begin{tabular}{r|lllll}\n",
       "  & Landmark & Connectivity & Visual.Integration..HH. & Through.Vision & Route\\\\\n",
       "  & <chr> & <dbl> & <dbl> & <dbl> & <chr>\\\\\n",
       "\\hline\n",
       "\t1 & Batty House   & 101.1310 & 2.09182 & 1334.650 & A\\\\\n",
       "\t2 & Lynch Station & 106.0000 & 2.19206 &  778.918 & A\\\\\n",
       "\t3 & Harris Hall   & 100.8160 & 2.53761 & 1001.240 & A\\\\\n",
       "\t4 & Harvey House  &  68.9032 & 2.42301 &  287.387 & A\\\\\n",
       "\t5 & Sauer Center  &  64.4815 & 2.44747 &  286.222 & B\\\\\n",
       "\t6 & Golledge Hall & 108.5370 & 2.90956 & 4539.110 & B\\\\\n",
       "\t7 & Tobler Museum &  80.0175 & 2.71935 &  522.333 & B\\\\\n",
       "\t8 & Snow Church   &  94.5893 & 2.60978 &  658.607 & B\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 8 × 5\n",
       "\n",
       "| <!--/--> | Landmark &lt;chr&gt; | Connectivity &lt;dbl&gt; | Visual.Integration..HH. &lt;dbl&gt; | Through.Vision &lt;dbl&gt; | Route &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| 1 | Batty House   | 101.1310 | 2.09182 | 1334.650 | A |\n",
       "| 2 | Lynch Station | 106.0000 | 2.19206 |  778.918 | A |\n",
       "| 3 | Harris Hall   | 100.8160 | 2.53761 | 1001.240 | A |\n",
       "| 4 | Harvey House  |  68.9032 | 2.42301 |  287.387 | A |\n",
       "| 5 | Sauer Center  |  64.4815 | 2.44747 |  286.222 | B |\n",
       "| 6 | Golledge Hall | 108.5370 | 2.90956 | 4539.110 | B |\n",
       "| 7 | Tobler Museum |  80.0175 | 2.71935 |  522.333 | B |\n",
       "| 8 | Snow Church   |  94.5893 | 2.60978 |  658.607 | B |\n",
       "\n"
      ],
      "text/plain": [
       "  Landmark      Connectivity Visual.Integration..HH. Through.Vision Route\n",
       "1 Batty House   101.1310     2.09182                 1334.650       A    \n",
       "2 Lynch Station 106.0000     2.19206                  778.918       A    \n",
       "3 Harris Hall   100.8160     2.53761                 1001.240       A    \n",
       "4 Harvey House   68.9032     2.42301                  287.387       A    \n",
       "5 Sauer Center   64.4815     2.44747                  286.222       B    \n",
       "6 Golledge Hall 108.5370     2.90956                 4539.110       B    \n",
       "7 Tobler Museum  80.0175     2.71935                  522.333       B    \n",
       "8 Snow Church    94.5893     2.60978                  658.607       B    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##############################################\n",
    "#### Adding VGA metrics for each landmark ####\n",
    "##############################################\n",
    "\n",
    "# VGA metrics contained in this Excel file\n",
    "VGAMetrics = read.xls('Visibility_Graph_Analyses_by_Landmark_35_nodes_system.xlsx', na.strings=c(\"NA\", \"#NULL!\")) \n",
    "head(VGAMetrics, n=8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e994fec7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's start by just assigning the start and target landmark to variables for connectivity\n",
    "AllPointingData$VGA_Connectivity_start_landmark <-AllPointingData$start_landmark \n",
    "AllPointingData$VGA_Connectivity_target_landmark <- AllPointingData$target_landmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "2cf1b33c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Let's do the same for integration\n",
    "AllPointingData$VGA_Integration_start_landmark <- AllPointingData$start_landmark \n",
    "AllPointingData$VGA_Integration_target_landmark <- AllPointingData$target_landmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1e8c6e0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# And let's do the same for Through Vision\n",
    "AllPointingData$VGA_ThruVision_start_landmark <- AllPointingData$start_landmark \n",
    "AllPointingData$VGA_ThruVision_target_landmark <- AllPointingData$target_landmark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "3e1a894b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's assign each landmark its VGA-Connectivity value (corrected)\n",
    "\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Batty House\"] <- 101.1310\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Lynch Station\"] <- 106.0000\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Harris Hall\"] <- 100.8160\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Harvey House\"] <- 68.9032\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Sauer Center\"] <- 64.4815\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Golledge Hall\"] <- 108.5370\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Tobler Museum\"] <- 80.0175\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == \"Snow Church\"] <- 94.5893\n",
    "AllPointingData$VGA_Connectivity_start_landmark[AllPointingData$VGA_Connectivity_start_landmark == NA] <- 0\n",
    "\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Batty House\"] <- 101.1310\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Lynch Station\"] <- 106.0000\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Harris Hall\"] <- 100.8160\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Harvey House\"] <- 68.9032\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Sauer Center\"] <- 64.4815\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Golledge Hall\"] <- 108.5370\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Tobler Museum\"] <- 80.0175\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == \"Snow Church\"] <- 94.5893\n",
    "AllPointingData$VGA_Connectivity_target_landmark[AllPointingData$VGA_Connectivity_target_landmark == NA] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "621f2a40",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's assign each landmark its VGA-Integration value (corrected)\n",
    "\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Batty House\"] <- 2.09182\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Lynch Station\"] <- 2.19206\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Harris Hall\"] <- 2.53761\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Harvey House\"] <- 2.42301\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Sauer Center\"] <- 2.44747\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Golledge Hall\"] <- 2.90956\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Tobler Museum\"] <- 2.71935\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == \"Snow Church\"] <- 2.60978\n",
    "AllPointingData$VGA_Integration_start_landmark[AllPointingData$VGA_Integration_start_landmark == NA] <- 0\n",
    "\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Batty House\"] <- 2.09182\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Lynch Station\"] <- 2.19206\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Harris Hall\"] <- 2.53761\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Harvey House\"] <- 2.42301\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Sauer Center\"] <- 2.44747\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Golledge Hall\"] <- 2.90956\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Tobler Museum\"] <- 2.71935\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == \"Snow Church\"] <- 2.60978\n",
    "AllPointingData$VGA_Integration_target_landmark[AllPointingData$VGA_Integration_target_landmark == NA] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "9b18c79f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Now let's assign each landmark its VGA-Integration value (corrected)\n",
    "\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Batty House\"] <- 1334.65\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Lynch Station\"] <- 778.918\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Harris Hall\"] <- 1001.24\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Harvey House\"] <- 287.387\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Sauer Center\"] <- 286.222\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Golledge Hall\"] <- 4539.11\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Tobler Museum\"] <- 522.333\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == \"Snow Church\"] <- 658.607\n",
    "AllPointingData$VGA_ThruVision_start_landmark[AllPointingData$VGA_ThruVision_start_landmark == NA] <- 0\n",
    "\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Batty House\"] <- 1334.65\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Lynch Station\"] <- 778.918\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Harris Hall\"] <- 1001.24\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Harvey House\"] <- 287.387\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Sauer Center\"] <- 286.222\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Golledge Hall\"] <- 4539.11\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Tobler Museum\"] <- 522.333\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == \"Snow Church\"] <- 658.607\n",
    "AllPointingData$VGA_ThruVision_target_landmark[AllPointingData$VGA_ThruVision_target_landmark == NA] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "0472e338",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 40</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>participant</th><th scope=col>sex</th><th scope=col>age</th><th scope=col>SBSOD_average</th><th scope=col>SBSOD_CY_average</th><th scope=col>Route_Order</th><th scope=col>RouteOrder_4</th><th scope=col>n</th><th scope=col>Connectivity</th><th scope=col>Integration_Mean</th><th scope=col>⋯</th><th scope=col>Integration_start_landmark</th><th scope=col>Integration_target_landmark</th><th scope=col>Choice_start_landmark</th><th scope=col>Choice_target_landmark</th><th scope=col>VGA_Connectivity_start_landmark</th><th scope=col>VGA_Connectivity_target_landmark</th><th scope=col>VGA_Integration_start_landmark</th><th scope=col>VGA_Integration_target_landmark</th><th scope=col>VGA_ThruVision_start_landmark</th><th scope=col>VGA_ThruVision_target_landmark</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>⋯</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>0.94752222</td><td>1.2380958</td><td>12</td><td>141</td><td>101.131</td><td>68.9032</td><td>2.09182</td><td>2.42301</td><td>1334.65</td><td>287.387</td></tr>\n",
       "\t<tr><th scope=row>1.1</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>0.94752222</td><td>1.3078476</td><td>12</td><td>95 </td><td>101.131</td><td>100.816</td><td>2.09182</td><td>2.53761</td><td>1334.65</td><td>1001.24</td></tr>\n",
       "\t<tr><th scope=row>1.2</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>0.94752222</td><td>1.2548268</td><td>12</td><td>3  </td><td>101.131</td><td>80.0175</td><td>2.09182</td><td>2.71935</td><td>1334.65</td><td>522.333</td></tr>\n",
       "\t<tr><th scope=row>1.3</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>0.94752222</td><td>1.4739234</td><td>12</td><td>132</td><td>101.131</td><td>94.5893</td><td>2.09182</td><td>2.60978</td><td>1334.65</td><td>658.607</td></tr>\n",
       "\t<tr><th scope=row>1.4</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>0.94752222</td><td>1.5476197</td><td>12</td><td>59 </td><td>101.131</td><td>64.4815</td><td>2.09182</td><td>2.44747</td><td>1334.65</td><td>286.222</td></tr>\n",
       "\t<tr><th scope=row>1.5</th><td>1</td><td>1</td><td>21</td><td>3</td><td>2.5</td><td>1</td><td>1</td><td>56</td><td>3.71429</td><td>1.39777</td><td>⋯</td><td>0.94752222</td><td>1.785715 </td><td>12</td><td>234</td><td>101.131</td><td>108.537</td><td>2.09182</td><td>2.90956</td><td>1334.65</td><td>4539.11</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 40\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & participant & sex & age & SBSOD\\_average & SBSOD\\_CY\\_average & Route\\_Order & RouteOrder\\_4 & n & Connectivity & Integration\\_Mean & ⋯ & Integration\\_start\\_landmark & Integration\\_target\\_landmark & Choice\\_start\\_landmark & Choice\\_target\\_landmark & VGA\\_Connectivity\\_start\\_landmark & VGA\\_Connectivity\\_target\\_landmark & VGA\\_Integration\\_start\\_landmark & VGA\\_Integration\\_target\\_landmark & VGA\\_ThruVision\\_start\\_landmark & VGA\\_ThruVision\\_target\\_landmark\\\\\n",
       "  & <int> & <int> & <int> & <dbl> & <dbl> & <int> & <int> & <int> & <dbl> & <dbl> & ⋯ & <chr> & <chr> & <chr> & <chr> & <chr> & <chr> & <chr> & <chr> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 0.94752222 & 1.2380958 & 12 & 141 & 101.131 & 68.9032 & 2.09182 & 2.42301 & 1334.65 & 287.387\\\\\n",
       "\t1.1 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 0.94752222 & 1.3078476 & 12 & 95  & 101.131 & 100.816 & 2.09182 & 2.53761 & 1334.65 & 1001.24\\\\\n",
       "\t1.2 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 0.94752222 & 1.2548268 & 12 & 3   & 101.131 & 80.0175 & 2.09182 & 2.71935 & 1334.65 & 522.333\\\\\n",
       "\t1.3 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 0.94752222 & 1.4739234 & 12 & 132 & 101.131 & 94.5893 & 2.09182 & 2.60978 & 1334.65 & 658.607\\\\\n",
       "\t1.4 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 0.94752222 & 1.5476197 & 12 & 59  & 101.131 & 64.4815 & 2.09182 & 2.44747 & 1334.65 & 286.222\\\\\n",
       "\t1.5 & 1 & 1 & 21 & 3 & 2.5 & 1 & 1 & 56 & 3.71429 & 1.39777 & ⋯ & 0.94752222 & 1.785715  & 12 & 234 & 101.131 & 108.537 & 2.09182 & 2.90956 & 1334.65 & 4539.11\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 40\n",
       "\n",
       "| <!--/--> | participant &lt;int&gt; | sex &lt;int&gt; | age &lt;int&gt; | SBSOD_average &lt;dbl&gt; | SBSOD_CY_average &lt;dbl&gt; | Route_Order &lt;int&gt; | RouteOrder_4 &lt;int&gt; | n &lt;int&gt; | Connectivity &lt;dbl&gt; | Integration_Mean &lt;dbl&gt; | ⋯ ⋯ | Integration_start_landmark &lt;chr&gt; | Integration_target_landmark &lt;chr&gt; | Choice_start_landmark &lt;chr&gt; | Choice_target_landmark &lt;chr&gt; | VGA_Connectivity_start_landmark &lt;chr&gt; | VGA_Connectivity_target_landmark &lt;chr&gt; | VGA_Integration_start_landmark &lt;chr&gt; | VGA_Integration_target_landmark &lt;chr&gt; | VGA_ThruVision_start_landmark &lt;chr&gt; | VGA_ThruVision_target_landmark &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 0.94752222 | 1.2380958 | 12 | 141 | 101.131 | 68.9032 | 2.09182 | 2.42301 | 1334.65 | 287.387 |\n",
       "| 1.1 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 0.94752222 | 1.3078476 | 12 | 95  | 101.131 | 100.816 | 2.09182 | 2.53761 | 1334.65 | 1001.24 |\n",
       "| 1.2 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 0.94752222 | 1.2548268 | 12 | 3   | 101.131 | 80.0175 | 2.09182 | 2.71935 | 1334.65 | 522.333 |\n",
       "| 1.3 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 0.94752222 | 1.4739234 | 12 | 132 | 101.131 | 94.5893 | 2.09182 | 2.60978 | 1334.65 | 658.607 |\n",
       "| 1.4 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 0.94752222 | 1.5476197 | 12 | 59  | 101.131 | 64.4815 | 2.09182 | 2.44747 | 1334.65 | 286.222 |\n",
       "| 1.5 | 1 | 1 | 21 | 3 | 2.5 | 1 | 1 | 56 | 3.71429 | 1.39777 | ⋯ | 0.94752222 | 1.785715  | 12 | 234 | 101.131 | 108.537 | 2.09182 | 2.90956 | 1334.65 | 4539.11 |\n",
       "\n"
      ],
      "text/plain": [
       "    participant sex age SBSOD_average SBSOD_CY_average Route_Order RouteOrder_4\n",
       "1   1           1   21  3             2.5              1           1           \n",
       "1.1 1           1   21  3             2.5              1           1           \n",
       "1.2 1           1   21  3             2.5              1           1           \n",
       "1.3 1           1   21  3             2.5              1           1           \n",
       "1.4 1           1   21  3             2.5              1           1           \n",
       "1.5 1           1   21  3             2.5              1           1           \n",
       "    n  Connectivity Integration_Mean ⋯ Integration_start_landmark\n",
       "1   56 3.71429      1.39777          ⋯ 0.94752222                \n",
       "1.1 56 3.71429      1.39777          ⋯ 0.94752222                \n",
       "1.2 56 3.71429      1.39777          ⋯ 0.94752222                \n",
       "1.3 56 3.71429      1.39777          ⋯ 0.94752222                \n",
       "1.4 56 3.71429      1.39777          ⋯ 0.94752222                \n",
       "1.5 56 3.71429      1.39777          ⋯ 0.94752222                \n",
       "    Integration_target_landmark Choice_start_landmark Choice_target_landmark\n",
       "1   1.2380958                   12                    141                   \n",
       "1.1 1.3078476                   12                    95                    \n",
       "1.2 1.2548268                   12                    3                     \n",
       "1.3 1.4739234                   12                    132                   \n",
       "1.4 1.5476197                   12                    59                    \n",
       "1.5 1.785715                    12                    234                   \n",
       "    VGA_Connectivity_start_landmark VGA_Connectivity_target_landmark\n",
       "1   101.131                         68.9032                         \n",
       "1.1 101.131                         100.816                         \n",
       "1.2 101.131                         80.0175                         \n",
       "1.3 101.131                         94.5893                         \n",
       "1.4 101.131                         64.4815                         \n",
       "1.5 101.131                         108.537                         \n",
       "    VGA_Integration_start_landmark VGA_Integration_target_landmark\n",
       "1   2.09182                        2.42301                        \n",
       "1.1 2.09182                        2.53761                        \n",
       "1.2 2.09182                        2.71935                        \n",
       "1.3 2.09182                        2.60978                        \n",
       "1.4 2.09182                        2.44747                        \n",
       "1.5 2.09182                        2.90956                        \n",
       "    VGA_ThruVision_start_landmark VGA_ThruVision_target_landmark\n",
       "1   1334.65                       287.387                       \n",
       "1.1 1334.65                       1001.24                       \n",
       "1.2 1334.65                       522.333                       \n",
       "1.3 1334.65                       658.607                       \n",
       "1.4 1334.65                       286.222                       \n",
       "1.5 1334.65                       4539.11                       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(AllPointingData)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "0487bc3c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "| same_or_different | abs_error |\n",
      "|:-----------------:|:---------:|\n",
      "|     different     |   48.3    |\n",
      "|       same        |   28.51   |\n",
      "\n",
      "\n",
      "\n",
      "| same_or_different | abs_error |\n",
      "|:-----------------:|:---------:|\n",
      "|     different     |   41.75   |\n",
      "|       same        |   32.9    |\n",
      "\n"
     ]
    }
   ],
   "source": [
    "################################################\n",
    "#### Some descriptives about Pointing Error ####\n",
    "################################################\n",
    "\n",
    "pander(aggregate(abs_error~same_or_different,data=AllPointingData,FUN=mean)) \n",
    "pander(aggregate(abs_error~same_or_different,data=AllPointingData,FUN=sd))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "038d06ce",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  same_or_different     mean       sd        se\n",
      "1         different 48.30185 41.74828 0.9182657\n",
      "2              same 28.50757 32.89615 0.8366433\n",
      "  sex     mean       sd        se\n",
      "1   1 41.24370 39.73761 0.7853835\n",
      "2   2 36.39959 38.52042 1.1870714\n"
     ]
    }
   ],
   "source": [
    "# Alternatively, with dplyer\n",
    "summtError = dplyr::summarize(group_by(AllPointingData,same_or_different),\n",
    "                              mean=mean(abs_error, na.rm = TRUE), sd= sd(abs_error, na.rm = TRUE), se=sd(abs_error, na.rm = TRUE)/sqrt(length(abs_error)))\n",
    "\n",
    "print.data.frame(summtError)\n",
    "\n",
    "summtError = dplyr::summarize(group_by(AllPointingData,sex),\n",
    "                              mean=mean(abs_error, na.rm = TRUE), sd= sd(abs_error, na.rm = TRUE), se=sd(abs_error, na.rm = TRUE)/sqrt(length(abs_error)))\n",
    "print.data.frame(summtError)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "aa6a22b1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t3613 obs. of  40 variables:\n",
      " $ participant                     : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ sex                             : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ age                             : int  21 21 21 21 21 21 21 21 21 21 ...\n",
      " $ SBSOD_average                   : num  3 3 3 3 3 3 3 3 3 3 ...\n",
      " $ SBSOD_CY_average                : num  2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 ...\n",
      " $ Route_Order                     : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ RouteOrder_4                    : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ n                               : int  56 56 56 56 56 56 56 56 56 56 ...\n",
      " $ Connectivity                    : num  3.71 3.71 3.71 3.71 3.71 ...\n",
      " $ Integration_Mean                : num  1.4 1.4 1.4 1.4 1.4 ...\n",
      " $ IntegrationR3_Mean              : num  1.66 1.66 1.66 1.66 1.66 ...\n",
      " $ Depth_Mean                      : num  2.59 2.59 2.59 2.59 2.59 ...\n",
      " $ DepthR3_Mean                    : num  2.12 2.12 2.12 2.12 2.12 ...\n",
      " $ start_landmark                  : chr  \"Batty House\" \"Batty House\" \"Batty House\" \"Batty House\" ...\n",
      " $ start_by_route                  : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ facing_landmark                 : chr  \"Lynch Station\" \"Lynch Station\" \"Lynch Station\" \"Lynch Station\" ...\n",
      " $ target_landmark                 : chr  \"Harvey House\" \"Harris Hall\" \"Tobler Museum\" \"Snow Church\" ...\n",
      " $ target_by_route                 : int  1 1 2 2 2 2 1 1 2 1 ...\n",
      " $ bearing                         : int  65 25 16 7 14 25 38 2 23 8 ...\n",
      " $ actual_direction                : num  93.2 37.5 37.3 48.2 30.3 ...\n",
      " $ abs_error                       : num  28.2 12.5 21.3 41.2 16.3 ...\n",
      " $ same_or_different               : chr  \"same\" \"same\" \"different\" \"different\" ...\n",
      " $ seenunseen                      : int  1 0 1 1 1 1 0 0 1 0 ...\n",
      " $ trial_type                      : int  1 0 2 2 2 2 0 0 2 0 ...\n",
      " $ error_start_RouteA              : num  28.2 12.5 21.3 41.2 16.3 ...\n",
      " $ error_target_RouteA             : num  28.2 12.5 NA NA NA ...\n",
      " $ error_start_RouteB              : num  NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ error_target_RouteB             : num  NA NA 21.3 41.2 16.3 ...\n",
      " $ Connectivity_start_landmark     : num  2 2 2 2 2 2 2 2 2 2 ...\n",
      " $ Connectivity_target_landmark    : num  4 3 3 6 6 7 2 3 7 2 ...\n",
      " $ Integration_start_landmark      : chr  \"0.94752222\" \"0.94752222\" \"0.94752222\" \"0.94752222\" ...\n",
      " $ Integration_target_landmark     : chr  \"1.2380958\" \"1.3078476\" \"1.2548268\" \"1.4739234\" ...\n",
      " $ Choice_start_landmark           : chr  \"12\" \"12\" \"12\" \"12\" ...\n",
      " $ Choice_target_landmark          : chr  \"141\" \"95\" \"3\" \"132\" ...\n",
      " $ VGA_Connectivity_start_landmark : chr  \"101.131\" \"101.131\" \"101.131\" \"101.131\" ...\n",
      " $ VGA_Connectivity_target_landmark: chr  \"68.9032\" \"100.816\" \"80.0175\" \"94.5893\" ...\n",
      " $ VGA_Integration_start_landmark  : chr  \"2.09182\" \"2.09182\" \"2.09182\" \"2.09182\" ...\n",
      " $ VGA_Integration_target_landmark : chr  \"2.42301\" \"2.53761\" \"2.71935\" \"2.60978\" ...\n",
      " $ VGA_ThruVision_start_landmark   : chr  \"1334.65\" \"1334.65\" \"1334.65\" \"1334.65\" ...\n",
      " $ VGA_ThruVision_target_landmark  : chr  \"287.387\" \"1001.24\" \"522.333\" \"658.607\" ...\n"
     ]
    }
   ],
   "source": [
    "#############################################\n",
    "######## Pointing task LMEMs  ################\n",
    "#############################################\n",
    "\n",
    "# Let's check if our variables are of the right type and define them as needed\n",
    "str(AllPointingData)\n",
    "\n",
    "AllPointingData$participant <- as.factor(as.matrix(AllPointingData$participant))\n",
    "AllPointingData$same_or_different <- as.factor(as.matrix(AllPointingData$same_or_different))\n",
    "AllPointingData$seenunseen <- as.factor(as.matrix(AllPointingData$seenunseen))\n",
    "AllPointingData$sex <- as.factor(as.matrix(AllPointingData$sex)) # Marianna, which is sex 1 and sex 2?\n",
    "AllPointingData$Route_Order <- as.factor(as.matrix(AllPointingData$Route_Order)) # Marianna, is this the order variable we entered in ANOVAs?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "df2459b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "## Axial Map Analysis predictors \n",
    "AllPointingData$Connectivity_start_landmark <- as.numeric(as.matrix(AllPointingData$Connectivity_start_landmark))\n",
    "AllPointingData$Connectivity_target_landmark <- as.numeric(as.matrix(AllPointingData$Connectivity_target_landmark))\n",
    "AllPointingData$Integration_start_landmark <- as.numeric(as.matrix(AllPointingData$Integration_start_landmark))\n",
    "AllPointingData$Integration_target_landmark <- as.numeric(as.matrix(AllPointingData$Integration_target_landmark))\n",
    "AllPointingData$Choice_start_landmark <- as.numeric(as.matrix(AllPointingData$Choice_start_landmark))\n",
    "AllPointingData$Choice_target_landmark <- as.numeric(as.matrix(AllPointingData$Choice_target_landmark))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "deb4e4c6",
   "metadata": {},
   "outputs": [],
   "source": [
    "## VGA Analysis predictors \n",
    "AllPointingData$VGA_Connectivity_start_landmark <- as.numeric(as.matrix(AllPointingData$VGA_Connectivity_start_landmark))\n",
    "AllPointingData$VGA_Connectivity_target_landmark <- as.numeric(as.matrix(AllPointingData$VGA_Connectivity_target_landmark))\n",
    "AllPointingData$VGA_Integration_start_landmark <- as.numeric(as.matrix(AllPointingData$VGA_Integration_start_landmark))\n",
    "AllPointingData$VGA_Integration_target_landmark <- as.numeric(as.matrix(AllPointingData$VGA_Integration_target_landmark))\n",
    "AllPointingData$VGA_ThruVision_start_landmark <- as.numeric(as.matrix(AllPointingData$VGA_ThruVision_start_landmark))\n",
    "AllPointingData$VGA_ThruVision_target_landmark <- as.numeric(as.matrix(AllPointingData$VGA_ThruVision_target_landmark))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "3b0ab355",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Scale Through Vision measure, given warning that it's on a very different scale \n",
    "AllPointingData$VGA_ThruVision_start_landmark <- scale(AllPointingData$VGA_ThruVision_start_landmark)\n",
    "AllPointingData$VGA_ThruVision_target_landmark <- scale(AllPointingData$VGA_ThruVision_target_landmark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "36794498",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Route_Order\n",
       "sex    1    2\n",
       "  1 1501 1059\n",
       "  2  385  668"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check out distribution of sex across orders\n",
    "with(AllPointingData, table(sex, Route_Order)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "842ebadc",
   "metadata": {},
   "outputs": [],
   "source": [
    "################################\n",
    "## Set-up contrast structure ##\n",
    "################################\n",
    "\n",
    "\n",
    "AllPointingData <- within(AllPointingData, {\n",
    "    # Factor 1: same_or_different\n",
    "    Route.diffVsame <- ifelse(same_or_different==\"different\", 1/2, \n",
    "                              ifelse( same_or_different==\"same\", -1/2, NA ) ) #smaller value because we expect smaller error for same route judgments\n",
    "    # Factor 2: sex\n",
    "    sex.fVm <- ifelse(sex==\"1\", 1/2, #female\n",
    "                      ifelse( sex==\"2\", -1/2, NA ) ) #male\n",
    "    # Factor 3: RouteOrder\n",
    "    RouteOrder.1V2 <- ifelse(Route_Order==\"1\", 1/2, \n",
    "                             ifelse( Route_Order==\"2\", -1/2, NA ) ) \n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "ba0ebaea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + Connectivity_start_landmark +  \n",
       "    Connectivity_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36213.9\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.9943 -0.6474 -0.2305  0.3888  4.2095 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.53   9.514       \n",
       "             Route.diffVsame  126.62  11.252   0.04\n",
       " Residual                    1278.09  35.750       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                        Estimate Std. Error        df t value\n",
       "(Intercept)                              52.2175     2.5392  471.5665  20.565\n",
       "Route.diffVsame                          18.9829     2.0894   61.1258   9.085\n",
       "sex.fVm                                   5.0660     3.0024   61.1268   1.687\n",
       "RouteOrder.1V2                           -2.5127     3.0024   61.1268  -0.837\n",
       "Connectivity_start_landmark               0.5188     0.3281 3481.4166   1.581\n",
       "Connectivity_target_landmark             -4.1489     0.3280 3481.3834 -12.651\n",
       "Route.diffVsame:sex.fVm                   5.1990     4.1788   61.1266   1.244\n",
       "Route.diffVsame:RouteOrder.1V2           -2.6373     4.1788   61.1262  -0.631\n",
       "sex.fVm:RouteOrder.1V2                    3.7106     6.0049   61.1268   0.618\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   -5.4780     8.3576   61.1261  -0.655\n",
       "                                       Pr(>|t|)    \n",
       "(Intercept)                             < 2e-16 ***\n",
       "Route.diffVsame                        6.02e-13 ***\n",
       "sex.fVm                                  0.0966 .  \n",
       "RouteOrder.1V2                           0.4059    \n",
       "Connectivity_start_landmark              0.1139    \n",
       "Connectivity_target_landmark            < 2e-16 ***\n",
       "Route.diffVsame:sex.fVm                  0.2182    \n",
       "Route.diffVsame:RouteOrder.1V2           0.5303    \n",
       "sex.fVm:RouteOrder.1V2                   0.5389    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   0.5146    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "            (Intr) Rt.dfV sx.fVm RO.1V2 Cnnctvty_s_ Cnnctvty_t_ Rt.V:.V R.V:RO\n",
       "Rout.dffVsm -0.009                                                            \n",
       "sex.fVm     -0.255  0.008                                                     \n",
       "RotOrdr.1V2  0.083 -0.005 -0.239                                              \n",
       "Cnnctvty_s_ -0.611  0.000 -0.001  0.001                                       \n",
       "Cnnctvty_t_ -0.610  0.000 -0.001  0.000  0.145                                \n",
       "Rt.dffVs:.V  0.002 -0.434 -0.015  0.006  0.002       0.002                    \n",
       "Rt.V:RO.1V2 -0.002  0.142  0.006 -0.015  0.000      -0.002      -0.240        \n",
       "sx.V:RO.1V2 -0.140  0.006  0.141 -0.433 -0.001      -0.001      -0.005   0.008\n",
       "R.V:.V:RO.1  0.002 -0.240 -0.005  0.008  0.001       0.001       0.142  -0.434\n",
       "            s.V:RO\n",
       "Rout.dffVsm       \n",
       "sex.fVm           \n",
       "RotOrdr.1V2       \n",
       "Cnnctvty_s_       \n",
       "Cnnctvty_t_       \n",
       "Rt.dffVs:.V       \n",
       "Rt.V:RO.1V2       \n",
       "sx.V:RO.1V2       \n",
       "R.V:.V:RO.1 -0.015"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LMEM from previous submission\n",
    "#AbsError.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 + (1 + Route.diffVsame | participant),  \n",
    "#                      data = AllPointingData)\n",
    "#coef(AbsError.model)\n",
    "#summary(AbsError.model)\n",
    "\n",
    "# Get effect size for model\n",
    "#r.squaredGLMM(AbsError.model)[1]\n",
    "#r.squaredGLMM(AbsError.model)[2] #we report this\n",
    "\n",
    "### NEW: Model with Connectivity [Axial Map] ###\n",
    "\n",
    "AbsError_w_Connectivity.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                        + Connectivity_start_landmark \n",
    "                                        + Connectivity_target_landmark \n",
    "                                        + (1 + Route.diffVsame | participant),  \n",
    "                                        data = AllPointingData)\n",
    "#coef(AbsError_w_Connectivity.model)\n",
    "summary(AbsError_w_Connectivity.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "8ca1807b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“'r.squaredGLMM' now calculates a revised statistic. See the help page.”\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "0.105328371482843"
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      "text/latex": [
       "0.105328371482843"
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      "text/markdown": [
       "0.105328371482843"
      ],
      "text/plain": [
       "[1] 0.1053284"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.183792609367811"
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       "[1] 0.1837926"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_Connectivity.model)[1]\n",
    "r.squaredGLMM(AbsError_w_Connectivity.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "deae08eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + Integration_start_landmark +  \n",
       "    Integration_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36216.7\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.1036 -0.6422 -0.2363  0.4003  4.1537 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.44   9.51        \n",
       "             Route.diffVsame  126.43  11.24    0.04\n",
       " Residual                    1281.94  35.80        \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                       Estimate Std. Error       df t value\n",
       "(Intercept)                              52.450      4.687 2478.143  11.190\n",
       "Route.diffVsame                          18.992      2.090   61.127   9.088\n",
       "sex.fVm                                   5.044      3.002   61.127   1.680\n",
       "RouteOrder.1V2                           -2.504      3.002   61.127  -0.834\n",
       "Integration_start_landmark               12.062      2.236 3481.291   5.395\n",
       "Integration_target_landmark             -23.653      2.234 3481.270 -10.586\n",
       "Route.diffVsame:sex.fVm                   5.236      4.180   61.127   1.253\n",
       "Route.diffVsame:RouteOrder.1V2           -2.646      4.180   61.127  -0.633\n",
       "sex.fVm:RouteOrder.1V2                    3.687      6.004   61.127   0.614\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   -5.476      8.360   61.127  -0.655\n",
       "                                       Pr(>|t|)    \n",
       "(Intercept)                             < 2e-16 ***\n",
       "Route.diffVsame                        5.96e-13 ***\n",
       "sex.fVm                                   0.098 .  \n",
       "RouteOrder.1V2                            0.408    \n",
       "Integration_start_landmark             7.32e-08 ***\n",
       "Integration_target_landmark             < 2e-16 ***\n",
       "Route.diffVsame:sex.fVm                   0.215    \n",
       "Route.diffVsame:RouteOrder.1V2            0.529    \n",
       "sex.fVm:RouteOrder.1V2                    0.541    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2    0.515    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "            (Intr) Rt.dfV sx.fVm RO.1V2 Intgrtn_s_ Intgrtn_t_ Rt.V:.V R.V:RO\n",
       "Rout.dffVsm -0.005                                                          \n",
       "sex.fVm     -0.138  0.008                                                   \n",
       "RotOrdr.1V2  0.045 -0.005 -0.239                                            \n",
       "Intgrtn_st_ -0.717  0.001 -0.001  0.001                                     \n",
       "Intgrtn_tr_ -0.716  0.000  0.000  0.000  0.144                              \n",
       "Rt.dffVs:.V  0.001 -0.434 -0.015  0.006  0.001      0.002                   \n",
       "Rt.V:RO.1V2 -0.001  0.142  0.006 -0.015  0.001     -0.001     -0.240        \n",
       "sx.V:RO.1V2 -0.076  0.006  0.141 -0.433 -0.001     -0.001     -0.005   0.008\n",
       "R.V:.V:RO.1  0.001 -0.240 -0.005  0.008  0.000      0.001      0.142  -0.434\n",
       "            s.V:RO\n",
       "Rout.dffVsm       \n",
       "sex.fVm           \n",
       "RotOrdr.1V2       \n",
       "Intgrtn_st_       \n",
       "Intgrtn_tr_       \n",
       "Rt.dffVs:.V       \n",
       "Rt.V:RO.1V2       \n",
       "sx.V:RO.1V2       \n",
       "R.V:.V:RO.1 -0.015"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Integration [Axial Map] ###\n",
    "\n",
    "AbsError_w_Integration.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                     + Integration_start_landmark \n",
    "                                     + Integration_target_landmark \n",
    "                                     + (1 + Route.diffVsame | participant),  \n",
    "                                     data = AllPointingData)\n",
    "#coef(AbsError_w_Integration.model)\n",
    "summary(AbsError_w_Integration.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "a8b35efe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.102960711435413"
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      "text/latex": [
       "0.102960711435413"
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      "text/markdown": [
       "0.102960711435413"
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      "text/plain": [
       "[1] 0.1029607"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.181330239911056"
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       "[1] 0.1813302"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_Integration.model)[1]\n",
    "r.squaredGLMM(AbsError_w_Integration.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "b58f5d99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + Choice_start_landmark +  \n",
       "    Choice_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36379.4\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.7883 -0.6495 -0.2812  0.3849  4.1474 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       89.62   9.467       \n",
       "             Route.diffVsame  122.19  11.054   0.05\n",
       " Residual                    1334.61  36.532       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                         Estimate Std. Error         df t value\n",
       "(Intercept)                             3.789e+01  1.837e+00  1.361e+02  20.628\n",
       "Route.diffVsame                         1.900e+01  2.088e+00  6.114e+01   9.099\n",
       "sex.fVm                                 5.050e+00  3.004e+00  6.112e+01   1.681\n",
       "RouteOrder.1V2                         -2.528e+00  3.004e+00  6.112e+01  -0.842\n",
       "Choice_start_landmark                   1.809e-02  8.117e-03  3.481e+03   2.229\n",
       "Choice_target_landmark                 -2.562e-02  8.129e-03  3.481e+03  -3.152\n",
       "Route.diffVsame:sex.fVm                 5.278e+00  4.176e+00  6.114e+01   1.264\n",
       "Route.diffVsame:RouteOrder.1V2         -2.711e+00  4.176e+00  6.114e+01  -0.649\n",
       "sex.fVm:RouteOrder.1V2                  3.685e+00  6.009e+00  6.112e+01   0.613\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2 -5.369e+00  8.353e+00  6.114e+01  -0.643\n",
       "                                       Pr(>|t|)    \n",
       "(Intercept)                             < 2e-16 ***\n",
       "Route.diffVsame                         5.7e-13 ***\n",
       "sex.fVm                                 0.09790 .  \n",
       "RouteOrder.1V2                          0.40331    \n",
       "Choice_start_landmark                   0.02588 *  \n",
       "Choice_target_landmark                  0.00164 ** \n",
       "Route.diffVsame:sex.fVm                 0.21112    \n",
       "Route.diffVsame:RouteOrder.1V2          0.51870    \n",
       "sex.fVm:RouteOrder.1V2                  0.54191    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2  0.52276    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "            (Intr) Rt.dfV sx.fVm RO.1V2 Chc_s_ Chc_t_ Rt.V:.V R.V:RO s.V:RO\n",
       "Rout.dffVsm -0.013                                                         \n",
       "sex.fVm     -0.354  0.008                                                  \n",
       "RotOrdr.1V2  0.115 -0.005 -0.239                                           \n",
       "Chc_strt_ln -0.436  0.001  0.000  0.000                                    \n",
       "Chc_trgt_ln -0.435 -0.001  0.000  0.000  0.144                             \n",
       "Rt.dffVs:.V  0.006 -0.434 -0.016  0.006  0.000  0.002                      \n",
       "Rt.V:RO.1V2 -0.004  0.143  0.006 -0.016  0.001 -0.001 -0.241               \n",
       "sx.V:RO.1V2 -0.195  0.006  0.141 -0.433  0.000 -0.001 -0.005   0.008       \n",
       "R.V:.V:RO.1  0.005 -0.241 -0.005  0.008  0.000  0.000  0.143  -0.434 -0.016"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Choice [Axial Map] ###\n",
    "\n",
    "AbsError_w_Choice.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                    + Choice_start_landmark \n",
    "                                    + Choice_target_landmark \n",
    "                                    + (1 + Route.diffVsame | participant),  \n",
    "                                    data = AllPointingData)\n",
    "#coef(AbsError_w_Integration.model)\n",
    "summary(AbsError_w_Choice.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "cf1e82cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "0.0705543203649211"
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       "0.0705543203649211"
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      "text/plain": [
       "[1] 0.07055432"
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     "metadata": {},
     "output_type": "display_data"
    },
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     "data": {
      "text/html": [
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       "[1] 0.1477438"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_Choice.model)[1]\n",
    "r.squaredGLMM(AbsError_w_Choice.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "90013dc5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + VGA_Connectivity_start_landmark +  \n",
       "    VGA_Connectivity_target_landmark + (1 + Route.diffVsame |      participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36378.5\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.7418 -0.6524 -0.2812  0.4019  4.1220 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       89.53   9.462       \n",
       "             Route.diffVsame  122.00  11.046   0.05\n",
       " Residual                    1336.67  36.560       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                         Estimate Std. Error         df t value\n",
       "(Intercept)                              19.64293    5.46300 2950.18406   3.596\n",
       "Route.diffVsame                          18.98750    2.08808   61.14130   9.093\n",
       "sex.fVm                                   5.06114    3.00361   61.13216   1.685\n",
       "RouteOrder.1V2                           -2.53437    3.00361   61.13203  -0.844\n",
       "VGA_Connectivity_start_landmark           0.11791    0.03830 3481.06319   3.078\n",
       "VGA_Connectivity_target_landmark          0.07657    0.03838 3481.44627   1.995\n",
       "Route.diffVsame:sex.fVm                   5.28247    4.17615   61.14150   1.265\n",
       "Route.diffVsame:RouteOrder.1V2           -2.72887    4.17615   61.14130  -0.653\n",
       "sex.fVm:RouteOrder.1V2                    3.66984    6.00721   61.13206   0.611\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   -5.40512    8.35231   61.14149  -0.647\n",
       "                                       Pr(>|t|)    \n",
       "(Intercept)                            0.000329 ***\n",
       "Route.diffVsame                        5.82e-13 ***\n",
       "sex.fVm                                0.097084 .  \n",
       "RouteOrder.1V2                         0.402084    \n",
       "VGA_Connectivity_start_landmark        0.002098 ** \n",
       "VGA_Connectivity_target_landmark       0.046099 *  \n",
       "Route.diffVsame:sex.fVm                0.210702    \n",
       "Route.diffVsame:RouteOrder.1V2         0.515921    \n",
       "sex.fVm:RouteOrder.1V2                 0.543527    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2 0.519963    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "                (Intr) Rt.dfV sx.fVm RO.1V2 VGA_Cnnctvty_s_ VGA_Cnnctvty_t_\n",
       "Rout.dffVsm     -0.004                                                     \n",
       "sex.fVm         -0.120  0.009                                              \n",
       "RotOrdr.1V2      0.039 -0.005 -0.239                                       \n",
       "VGA_Cnnctvty_s_ -0.727 -0.001  0.000  0.000                                \n",
       "VGA_Cnnctvty_t_ -0.728  0.000  0.001  0.000  0.145                         \n",
       "Rt.dffVs:.V      0.004 -0.434 -0.016  0.006  0.000          -0.002         \n",
       "Rt.V:RO.1V2     -0.002  0.143  0.006 -0.016  0.000           0.001         \n",
       "sx.V:RO.1V2     -0.065  0.006  0.141 -0.433  0.000          -0.001         \n",
       "R.V:.V:RO.1      0.003 -0.241 -0.005  0.009 -0.001          -0.001         \n",
       "                Rt.V:.V R.V:RO s.V:RO\n",
       "Rout.dffVsm                          \n",
       "sex.fVm                              \n",
       "RotOrdr.1V2                          \n",
       "VGA_Cnnctvty_s_                      \n",
       "VGA_Cnnctvty_t_                      \n",
       "Rt.dffVs:.V                          \n",
       "Rt.V:RO.1V2     -0.241               \n",
       "sx.V:RO.1V2     -0.005   0.009       \n",
       "R.V:.V:RO.1      0.143  -0.434 -0.016"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Connectivity [VGA] ###\n",
    "\n",
    "AbsError_w_VGA_Connectivity.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                     + VGA_Connectivity_start_landmark \n",
    "                                     + VGA_Connectivity_target_landmark \n",
    "                                     + (1 + Route.diffVsame | participant),  \n",
    "                                     data = AllPointingData)\n",
    "#coef(AbsError_w_VGA_Connectivity.model)\n",
    "summary(AbsError_w_VGA_Connectivity.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "c2988cc6",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/latex": [
       "0.0692957546789594"
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      "text/markdown": [
       "0.0692957546789594"
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      "text/plain": [
       "[1] 0.06929575"
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     "metadata": {},
     "output_type": "display_data"
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     "data": {
      "text/html": [
       "0.14639198480701"
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       "[1] 0.146392"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_VGA_Connectivity.model)[1]\n",
    "r.squaredGLMM(AbsError_w_VGA_Connectivity.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "cf8f5bee",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + VGA_Integration_start_landmark +  \n",
       "    VGA_Integration_target_landmark + (1 + Route.diffVsame |      participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36118\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.3099 -0.6693 -0.2173  0.4219  4.1873 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.94   9.536       \n",
       "             Route.diffVsame  128.21  11.323   0.04\n",
       " Residual                    1246.31  35.303       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                       Estimate Std. Error       df t value\n",
       "(Intercept)                               8.084      9.084 3521.363   0.890\n",
       "Route.diffVsame                          19.026      2.086   61.130   9.122\n",
       "sex.fVm                                   5.052      3.000   61.124   1.684\n",
       "RouteOrder.1V2                           -2.515      3.000   61.124  -0.838\n",
       "VGA_Integration_start_landmark           30.704      2.380 3481.461  12.899\n",
       "VGA_Integration_target_landmark         -19.017      2.376 3481.088  -8.005\n",
       "Route.diffVsame:sex.fVm                   5.244      4.172   61.130   1.257\n",
       "Route.diffVsame:RouteOrder.1V2           -2.605      4.172   61.130  -0.624\n",
       "sex.fVm:RouteOrder.1V2                    3.676      6.000   61.125   0.613\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   -5.553      8.343   61.130  -0.666\n",
       "                                       Pr(>|t|)    \n",
       "(Intercept)                              0.3736    \n",
       "Route.diffVsame                        5.22e-13 ***\n",
       "sex.fVm                                  0.0973 .  \n",
       "RouteOrder.1V2                           0.4050    \n",
       "VGA_Integration_start_landmark          < 2e-16 ***\n",
       "VGA_Integration_target_landmark        1.61e-15 ***\n",
       "Route.diffVsame:sex.fVm                  0.2135    \n",
       "Route.diffVsame:RouteOrder.1V2           0.5346    \n",
       "sex.fVm:RouteOrder.1V2                   0.5424    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   0.5082    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "               (Intr) Rt.dfV sx.fVm RO.1V2 VGA_Intgrtn_s_ VGA_Intgrtn_t_\n",
       "Rout.dffVsm    -0.003                                                   \n",
       "sex.fVm        -0.071  0.008                                            \n",
       "RotOrdr.1V2     0.023 -0.004 -0.239                                     \n",
       "VGA_Intgrtn_s_ -0.746  0.001  0.000  0.000                              \n",
       "VGA_Intgrtn_t_ -0.745  0.000  0.000  0.000  0.143                       \n",
       "Rt.dffVs:.V     0.000 -0.434 -0.015  0.006  0.000          0.001        \n",
       "Rt.V:RO.1V2    -0.001  0.142  0.006 -0.015  0.001         -0.001        \n",
       "sx.V:RO.1V2    -0.039  0.006  0.141 -0.433  0.000         -0.001        \n",
       "R.V:.V:RO.1     0.001 -0.240 -0.004  0.008 -0.001          0.001        \n",
       "               Rt.V:.V R.V:RO s.V:RO\n",
       "Rout.dffVsm                         \n",
       "sex.fVm                             \n",
       "RotOrdr.1V2                         \n",
       "VGA_Intgrtn_s_                      \n",
       "VGA_Intgrtn_t_                      \n",
       "Rt.dffVs:.V                         \n",
       "Rt.V:RO.1V2    -0.240               \n",
       "sx.V:RO.1V2    -0.004   0.008       \n",
       "R.V:.V:RO.1     0.142  -0.434 -0.015"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with visual Integration [VGA] ###\n",
    "\n",
    "AbsError_w_VGA_Integration.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                         + VGA_Integration_start_landmark \n",
    "                                         + VGA_Integration_target_landmark \n",
    "                                         + (1 + Route.diffVsame | participant),  \n",
    "                                         data = AllPointingData)\n",
    "#coef(AbsError_w_VGA_Integration.model)\n",
    "summary(AbsError_w_VGA_Integration.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "eaffc496",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "0.124987874115778"
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      "text/latex": [
       "0.124987874115778"
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      "text/markdown": [
       "0.124987874115778"
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      "text/plain": [
       "[1] 0.1249879"
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "text/html": [
       "0.20397109476759"
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       "[1] 0.2039711"
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     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_VGA_Integration.model)[1]\n",
    "r.squaredGLMM(AbsError_w_VGA_Integration.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "0bbb9443",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + VGA_ThruVision_start_landmark +  \n",
       "    VGA_ThruVision_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36298.3\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.9980 -0.6604 -0.2448  0.4174  4.1262 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.0    9.487       \n",
       "             Route.diffVsame  124.1   11.141   0.05\n",
       " Residual                    1310.4   36.199       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                        Estimate Std. Error        df t value\n",
       "(Intercept)                              37.2501     1.5017   61.1316  24.806\n",
       "Route.diffVsame                          18.9905     2.0889   61.1361   9.091\n",
       "sex.fVm                                   5.0569     3.0033   61.1316   1.684\n",
       "RouteOrder.1V2                           -2.5501     3.0033   61.1316  -0.849\n",
       "VGA_ThruVision_start_landmark             4.6038     0.6086 3480.6871   7.565\n",
       "VGA_ThruVision_target_landmark           -2.3412     0.6086 3480.9484  -3.847\n",
       "Route.diffVsame:sex.fVm                   5.2581     4.1778   61.1362   1.259\n",
       "Route.diffVsame:RouteOrder.1V2           -2.7059     4.1778   61.1361  -0.648\n",
       "sex.fVm:RouteOrder.1V2                    3.7117     6.0066   61.1316   0.618\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2   -5.4098     8.3555   61.1362  -0.647\n",
       "                                       Pr(>|t|)    \n",
       "(Intercept)                             < 2e-16 ***\n",
       "Route.diffVsame                        5.87e-13 ***\n",
       "sex.fVm                                0.097325 .  \n",
       "RouteOrder.1V2                         0.399137    \n",
       "VGA_ThruVision_start_landmark          4.95e-14 ***\n",
       "VGA_ThruVision_target_landmark         0.000122 ***\n",
       "Route.diffVsame:sex.fVm                0.212963    \n",
       "Route.diffVsame:RouteOrder.1V2         0.519609    \n",
       "sex.fVm:RouteOrder.1V2                 0.538911    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2 0.519759    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "              (Intr) Rt.dfV sx.fVm RO.1V2 VGA_ThrVsn_s_ VGA_ThrVsn_t_ Rt.V:.V\n",
       "Rout.dffVsm   -0.016                                                         \n",
       "sex.fVm       -0.433  0.008                                                  \n",
       "RotOrdr.1V2    0.141 -0.005 -0.239                                           \n",
       "VGA_ThrVsn_s_  0.000  0.000  0.001 -0.001                                    \n",
       "VGA_ThrVsn_t_  0.000  0.001  0.001  0.000  0.143                             \n",
       "Rt.dffVs:.V    0.008 -0.434 -0.016  0.006 -0.001         0.001               \n",
       "Rt.V:RO.1V2   -0.005  0.142  0.006 -0.016  0.001         0.000        -0.240 \n",
       "sx.V:RO.1V2   -0.239  0.006  0.141 -0.433  0.000        -0.001        -0.005 \n",
       "R.V:.V:RO.1    0.006 -0.240 -0.005  0.008 -0.001        -0.001         0.142 \n",
       "              R.V:RO s.V:RO\n",
       "Rout.dffVsm                \n",
       "sex.fVm                    \n",
       "RotOrdr.1V2                \n",
       "VGA_ThrVsn_s_              \n",
       "VGA_ThrVsn_t_              \n",
       "Rt.dffVs:.V                \n",
       "Rt.V:RO.1V2                \n",
       "sx.V:RO.1V2    0.008       \n",
       "R.V:.V:RO.1   -0.434 -0.016"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW [Third submission to SCC - August 2019]: Model with visual Integration [VGA] ###\n",
    "\n",
    "AbsError_w_VGA_ThruVision.model = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                        + VGA_ThruVision_start_landmark \n",
    "                                        + VGA_ThruVision_target_landmark \n",
    "                                        + (1 + Route.diffVsame | participant),  \n",
    "                                        data = AllPointingData)\n",
    "#coef(AbsError_w_VGA_ThruVision.model)\n",
    "summary(AbsError_w_VGA_ThruVision.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "81c9c1f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0854801381473131"
      ],
      "text/latex": [
       "0.0854801381473131"
      ],
      "text/markdown": [
       "0.0854801381473131"
      ],
      "text/plain": [
       "[1] 0.08548014"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.163205958225594"
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       "0.163205958225594"
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      "text/markdown": [
       "0.163205958225594"
      ],
      "text/plain": [
       "[1] 0.163206"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_VGA_ThruVision.model)[1]\n",
    "r.squaredGLMM(AbsError_w_VGA_ThruVision.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "11d8cb8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + Connectivity_start_landmark *  \n",
       "    Connectivity_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36214.5\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.9745 -0.6458 -0.2320  0.3950  4.2158 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.53   9.514       \n",
       "             Route.diffVsame  126.62  11.253   0.04\n",
       " Residual                    1278.24  35.752       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                          Estimate Std. Error\n",
       "(Intercept)                                                55.0093     4.3887\n",
       "Route.diffVsame                                            19.5374     2.2071\n",
       "sex.fVm                                                     5.0646     3.0025\n",
       "RouteOrder.1V2                                             -2.5101     3.0025\n",
       "Connectivity_start_landmark                                -0.1632     0.9340\n",
       "Connectivity_target_landmark                               -4.8309     0.9339\n",
       "Route.diffVsame:sex.fVm                                     5.2019     4.1790\n",
       "Route.diffVsame:RouteOrder.1V2                             -2.6413     4.1790\n",
       "sex.fVm:RouteOrder.1V2                                      3.7103     6.0049\n",
       "Connectivity_start_landmark:Connectivity_target_landmark    0.1691     0.2168\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                     -5.4619     8.3580\n",
       "                                                                df t value\n",
       "(Intercept)                                              2231.6692  12.534\n",
       "Route.diffVsame                                            76.0895   8.852\n",
       "sex.fVm                                                    61.1282   1.687\n",
       "RouteOrder.1V2                                             61.1282  -0.836\n",
       "Connectivity_start_landmark                              3480.0977  -0.175\n",
       "Connectivity_target_landmark                             3480.1387  -5.173\n",
       "Route.diffVsame:sex.fVm                                    61.1329   1.245\n",
       "Route.diffVsame:RouteOrder.1V2                             61.1326  -0.632\n",
       "sex.fVm:RouteOrder.1V2                                     61.1281   0.618\n",
       "Connectivity_start_landmark:Connectivity_target_landmark 3480.0189   0.780\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                     61.1331  -0.653\n",
       "                                                         Pr(>|t|)    \n",
       "(Intercept)                                               < 2e-16 ***\n",
       "Route.diffVsame                                          2.54e-13 ***\n",
       "sex.fVm                                                    0.0967 .  \n",
       "RouteOrder.1V2                                             0.4064    \n",
       "Connectivity_start_landmark                                0.8613    \n",
       "Connectivity_target_landmark                             2.43e-07 ***\n",
       "Route.diffVsame:sex.fVm                                    0.2180    \n",
       "Route.diffVsame:RouteOrder.1V2                             0.5297    \n",
       "sex.fVm:RouteOrder.1V2                                     0.5390    \n",
       "Connectivity_start_landmark:Connectivity_target_landmark   0.4355    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                     0.5159    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "            (Intr) Rt.dfV sx.fVm RO.1V2 Cnnctvty_s_ Cnnctvty_t_ Rt.V:.V R.V:RO\n",
       "Rout.dffVsm  0.258                                                            \n",
       "sex.fVm     -0.148  0.007                                                     \n",
       "RotOrdr.1V2  0.049 -0.004 -0.239                                              \n",
       "Cnnctvty_s_ -0.888 -0.302  0.000 -0.001                                       \n",
       "Cnnctvty_t_ -0.888 -0.302  0.000 -0.001  0.895                                \n",
       "Rt.dffVs:.V  0.002 -0.411 -0.015  0.006  0.000       0.000                    \n",
       "Rt.V:RO.1V2 -0.002  0.134  0.006 -0.015  0.001       0.001      -0.240        \n",
       "sx.V:RO.1V2 -0.081  0.005  0.141 -0.433  0.000       0.000      -0.005   0.008\n",
       "Cnnct__:C__  0.816  0.322 -0.001  0.001 -0.936      -0.936       0.001  -0.001\n",
       "R.V:.V:RO.1  0.003 -0.227 -0.005  0.008 -0.002      -0.002       0.142  -0.434\n",
       "            s.V:RO C__:C_\n",
       "Rout.dffVsm              \n",
       "sex.fVm                  \n",
       "RotOrdr.1V2              \n",
       "Cnnctvty_s_              \n",
       "Cnnctvty_t_              \n",
       "Rt.dffVs:.V              \n",
       "Rt.V:RO.1V2              \n",
       "sx.V:RO.1V2              \n",
       "Cnnct__:C__  0.000       \n",
       "R.V:.V:RO.1 -0.015  0.002"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###############################################################################\n",
    "###### Models with interaction term between start and target - Aug 2019 ######\n",
    "\n",
    "\n",
    "### Connectivity [Axial Map] ###\n",
    "\n",
    "\n",
    "AbsError_w_Connectivity.model2 = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                     + Connectivity_start_landmark*Connectivity_target_landmark \n",
    "                                     + (1 + Route.diffVsame | participant),  \n",
    "                                     data = AllPointingData)\n",
    "#coef(AbsError_w_Connectivity.model2)\n",
    "summary(AbsError_w_Connectivity.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "9a144db9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.105441798758537"
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      "text/latex": [
       "0.105441798758537"
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      "text/markdown": [
       "0.105441798758537"
      ],
      "text/plain": [
       "[1] 0.1054418"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.183887334058102"
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      "text/plain": [
       "[1] 0.1838873"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_Connectivity.model2)[1]\n",
    "r.squaredGLMM(AbsError_w_Connectivity.model2)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "a276b989",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + Integration_start_landmark *  \n",
       "    Integration_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36209.2\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.0663 -0.6482 -0.2408  0.3992  4.1625 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.43   9.51        \n",
       "             Route.diffVsame  126.47  11.25    0.04\n",
       " Residual                    1281.98  35.80        \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                       Estimate Std. Error\n",
       "(Intercept)                                              69.904     19.016\n",
       "Route.diffVsame                                          19.721      2.227\n",
       "sex.fVm                                                   5.042      3.002\n",
       "RouteOrder.1V2                                           -2.501      3.002\n",
       "Integration_start_landmark                               -1.260     14.243\n",
       "Integration_target_landmark                             -36.977     14.245\n",
       "Route.diffVsame:sex.fVm                                   5.240      4.180\n",
       "Route.diffVsame:RouteOrder.1V2                           -2.650      4.180\n",
       "sex.fVm:RouteOrder.1V2                                    3.687      6.004\n",
       "Integration_start_landmark:Integration_target_landmark   10.202     10.772\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                   -5.462      8.360\n",
       "                                                             df t value\n",
       "(Intercept)                                            3516.032   3.676\n",
       "Route.diffVsame                                          78.819   8.854\n",
       "sex.fVm                                                  61.127   1.679\n",
       "RouteOrder.1V2                                           61.127  -0.833\n",
       "Integration_start_landmark                             3480.093  -0.088\n",
       "Integration_target_landmark                            3480.140  -2.596\n",
       "Route.diffVsame:sex.fVm                                  61.127   1.254\n",
       "Route.diffVsame:RouteOrder.1V2                           61.126  -0.634\n",
       "sex.fVm:RouteOrder.1V2                                   61.127   0.614\n",
       "Integration_start_landmark:Integration_target_landmark 3480.117   0.947\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                   61.127  -0.653\n",
       "                                                       Pr(>|t|)    \n",
       "(Intercept)                                             0.00024 ***\n",
       "Route.diffVsame                                        1.91e-13 ***\n",
       "sex.fVm                                                 0.09820 .  \n",
       "RouteOrder.1V2                                          0.40804    \n",
       "Integration_start_landmark                              0.92949    \n",
       "Integration_target_landmark                             0.00948 ** \n",
       "Route.diffVsame:sex.fVm                                 0.21474    \n",
       "Route.diffVsame:RouteOrder.1V2                          0.52850    \n",
       "sex.fVm:RouteOrder.1V2                                  0.54147    \n",
       "Integration_start_landmark:Integration_target_landmark  0.34365    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                  0.51600    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "            (Intr) Rt.dfV sx.fVm RO.1V2 Intgrtn_s_ Intgrtn_t_ Rt.V:.V R.V:RO\n",
       "Rout.dffVsm  0.334                                                          \n",
       "sex.fVm     -0.035  0.007                                                   \n",
       "RotOrdr.1V2  0.012 -0.004 -0.239                                            \n",
       "Intgrtn_st_ -0.985 -0.341  0.001 -0.001                                     \n",
       "Intgrtn_tr_ -0.985 -0.341  0.001 -0.001  0.979                              \n",
       "Rt.dffVs:.V  0.001 -0.407 -0.016  0.006 -0.001     -0.001                   \n",
       "Rt.V:RO.1V2 -0.001  0.133  0.006 -0.016  0.001      0.001     -0.240        \n",
       "sx.V:RO.1V2 -0.019  0.006  0.141 -0.433  0.000      0.000     -0.005   0.008\n",
       "Intgr__:I__  0.969  0.346 -0.001  0.001 -0.988     -0.988      0.001  -0.001\n",
       "R.V:.V:RO.1  0.002 -0.225 -0.005  0.008 -0.002     -0.002      0.142  -0.434\n",
       "            s.V:RO I__:I_\n",
       "Rout.dffVsm              \n",
       "sex.fVm                  \n",
       "RotOrdr.1V2              \n",
       "Intgrtn_st_              \n",
       "Intgrtn_tr_              \n",
       "Rt.dffVs:.V              \n",
       "Rt.V:RO.1V2              \n",
       "sx.V:RO.1V2              \n",
       "Intgr__:I__  0.000       \n",
       "R.V:.V:RO.1 -0.016  0.002"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Integration [Axial Map] ###\n",
    "\n",
    "AbsError_w_Integration.model2 = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                    + Integration_start_landmark*Integration_target_landmark \n",
    "                                    + (1 + Route.diffVsame | participant),  \n",
    "                                    data = AllPointingData)\n",
    "#coef(AbsError_w_Integration.model2)\n",
    "summary(AbsError_w_Integration.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "74c66cb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.103140876607657"
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      "text/latex": [
       "0.103140876607657"
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      "text/markdown": [
       "0.103140876607657"
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      "text/plain": [
       "[1] 0.1031409"
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "text/html": [
       "0.181493554689758"
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       "[1] 0.1814936"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_Integration.model2)[1]\n",
    "r.squaredGLMM(AbsError_w_Integration.model2)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "266eb3d0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Some predictor variables are on very different scales: consider rescaling”\n",
      "Warning message:\n",
      "“Some predictor variables are on very different scales: consider rescaling”\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + Choice_start_landmark *  \n",
       "    Choice_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36392.1\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.8510 -0.6472 -0.2792  0.3880  4.1632 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       89.67   9.469       \n",
       "             Route.diffVsame  122.31  11.059   0.05\n",
       " Residual                    1333.64  36.519       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                               Estimate Std. Error         df\n",
       "(Intercept)                                   3.632e+01  2.021e+00  1.980e+02\n",
       "Route.diffVsame                               1.920e+01  2.091e+00  6.146e+01\n",
       "sex.fVm                                       5.051e+00  3.005e+00  6.113e+01\n",
       "RouteOrder.1V2                               -2.534e+00  3.005e+00  6.113e+01\n",
       "Choice_start_landmark                         3.586e-02  1.248e-02  3.480e+03\n",
       "Choice_target_landmark                       -7.856e-03  1.249e-02  3.480e+03\n",
       "Route.diffVsame:sex.fVm                       5.269e+00  4.177e+00  6.114e+01\n",
       "Route.diffVsame:RouteOrder.1V2               -2.704e+00  4.177e+00  6.114e+01\n",
       "sex.fVm:RouteOrder.1V2                        3.688e+00  6.009e+00  6.113e+01\n",
       "Choice_start_landmark:Choice_target_landmark -2.268e-04  1.211e-04  3.480e+03\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2       -5.397e+00  8.354e+00  6.114e+01\n",
       "                                             t value Pr(>|t|)    \n",
       "(Intercept)                                   17.966  < 2e-16 ***\n",
       "Route.diffVsame                                9.182 3.92e-13 ***\n",
       "sex.fVm                                        1.681   0.0979 .  \n",
       "RouteOrder.1V2                                -0.843   0.4024    \n",
       "Choice_start_landmark                          2.872   0.0041 ** \n",
       "Choice_target_landmark                        -0.629   0.5295    \n",
       "Route.diffVsame:sex.fVm                        1.262   0.2119    \n",
       "Route.diffVsame:RouteOrder.1V2                -0.647   0.5199    \n",
       "sex.fVm:RouteOrder.1V2                         0.614   0.5417    \n",
       "Choice_start_landmark:Choice_target_landmark  -1.872   0.0612 .  \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2        -0.646   0.5207    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "            (Intr) Rt.dfV sx.fVm RO.1V2 Chc_s_ Chc_t_ Rt.V:.V R.V:RO s.V:RO\n",
       "Rout.dffVsm -0.033                                                         \n",
       "sex.fVm     -0.322  0.008                                                  \n",
       "RotOrdr.1V2  0.105 -0.005 -0.239                                           \n",
       "Chc_strt_ln -0.574  0.040  0.000  0.000                                    \n",
       "Chc_trgt_ln -0.574  0.039  0.000 -0.001  0.638                             \n",
       "Rt.dffVs:.V  0.006 -0.434 -0.015  0.006 -0.001  0.000                      \n",
       "Rt.V:RO.1V2 -0.004  0.142  0.006 -0.015  0.001  0.000 -0.241               \n",
       "sx.V:RO.1V2 -0.178  0.006  0.141 -0.433  0.000  0.000 -0.005   0.008       \n",
       "Chc_st_:C__  0.417 -0.051  0.000  0.001 -0.760 -0.760  0.001  -0.001  0.000\n",
       "R.V:.V:RO.1  0.005 -0.240 -0.005  0.008 -0.001 -0.001  0.143  -0.434 -0.015\n",
       "            C__:C_\n",
       "Rout.dffVsm       \n",
       "sex.fVm           \n",
       "RotOrdr.1V2       \n",
       "Chc_strt_ln       \n",
       "Chc_trgt_ln       \n",
       "Rt.dffVs:.V       \n",
       "Rt.V:RO.1V2       \n",
       "sx.V:RO.1V2       \n",
       "Chc_st_:C__       \n",
       "R.V:.V:RO.1  0.002\n",
       "fit warnings:\n",
       "Some predictor variables are on very different scales: consider rescaling"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Choice [Axial Map] ###\n",
    "\n",
    "AbsError_w_Choice.model2 = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                               + Choice_start_landmark*Choice_target_landmark \n",
    "                               + (1 + Route.diffVsame | participant),  \n",
    "                               data = AllPointingData)\n",
    "#coef(AbsError_w_Choice.model2)\n",
    "summary(AbsError_w_Choice.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "0c9da5d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0713624802237853"
      ],
      "text/latex": [
       "0.0713624802237853"
      ],
      "text/markdown": [
       "0.0713624802237853"
      ],
      "text/plain": [
       "[1] 0.07136248"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.148585603237697"
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      "text/latex": [
       "0.148585603237697"
      ],
      "text/markdown": [
       "0.148585603237697"
      ],
      "text/plain": [
       "[1] 0.1485856"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_Choice.model2)[1]\n",
    "r.squaredGLMM(AbsError_w_Choice.model2)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "e5a1899e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Some predictor variables are on very different scales: consider rescaling”\n",
      "Warning message:\n",
      "“Some predictor variables are on very different scales: consider rescaling”\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + VGA_Connectivity_start_landmark *  \n",
       "    VGA_Connectivity_target_landmark + (1 + Route.diffVsame |      participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36388.6\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.7406 -0.6519 -0.2815  0.4010  4.1206 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       89.52   9.462       \n",
       "             Route.diffVsame  121.96  11.044   0.05\n",
       " Residual                    1337.05  36.566       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                                   Estimate\n",
       "(Intercept)                                                       1.788e+01\n",
       "Route.diffVsame                                                   1.900e+01\n",
       "sex.fVm                                                           5.061e+00\n",
       "RouteOrder.1V2                                                   -2.534e+00\n",
       "VGA_Connectivity_start_landmark                                   1.369e-01\n",
       "VGA_Connectivity_target_landmark                                  9.561e-02\n",
       "Route.diffVsame:sex.fVm                                           5.283e+00\n",
       "Route.diffVsame:RouteOrder.1V2                                   -2.728e+00\n",
       "sex.fVm:RouteOrder.1V2                                            3.670e+00\n",
       "VGA_Connectivity_start_landmark:VGA_Connectivity_target_landmark -2.071e-04\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                           -5.406e+00\n",
       "                                                                 Std. Error\n",
       "(Intercept)                                                       2.237e+01\n",
       "Route.diffVsame                                                   2.093e+00\n",
       "sex.fVm                                                           3.004e+00\n",
       "RouteOrder.1V2                                                    3.004e+00\n",
       "VGA_Connectivity_start_landmark                                   2.379e-01\n",
       "VGA_Connectivity_target_landmark                                  2.379e-01\n",
       "Route.diffVsame:sex.fVm                                           4.176e+00\n",
       "Route.diffVsame:RouteOrder.1V2                                    4.176e+00\n",
       "sex.fVm:RouteOrder.1V2                                            6.007e+00\n",
       "VGA_Connectivity_start_landmark:VGA_Connectivity_target_landmark  2.553e-03\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                            8.352e+00\n",
       "                                                                         df\n",
       "(Intercept)                                                       3.508e+03\n",
       "Route.diffVsame                                                   6.169e+01\n",
       "sex.fVm                                                           6.113e+01\n",
       "RouteOrder.1V2                                                    6.113e+01\n",
       "VGA_Connectivity_start_landmark                                   3.480e+03\n",
       "VGA_Connectivity_target_landmark                                  3.480e+03\n",
       "Route.diffVsame:sex.fVm                                           6.114e+01\n",
       "Route.diffVsame:RouteOrder.1V2                                    6.114e+01\n",
       "sex.fVm:RouteOrder.1V2                                            6.113e+01\n",
       "VGA_Connectivity_start_landmark:VGA_Connectivity_target_landmark  3.480e+03\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                            6.114e+01\n",
       "                                                                 t value\n",
       "(Intercept)                                                        0.800\n",
       "Route.diffVsame                                                    9.079\n",
       "sex.fVm                                                            1.685\n",
       "RouteOrder.1V2                                                    -0.844\n",
       "VGA_Connectivity_start_landmark                                    0.576\n",
       "VGA_Connectivity_target_landmark                                   0.402\n",
       "Route.diffVsame:sex.fVm                                            1.265\n",
       "Route.diffVsame:RouteOrder.1V2                                    -0.653\n",
       "sex.fVm:RouteOrder.1V2                                             0.611\n",
       "VGA_Connectivity_start_landmark:VGA_Connectivity_target_landmark  -0.081\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                            -0.647\n",
       "                                                                 Pr(>|t|)    \n",
       "(Intercept)                                                        0.4240    \n",
       "Route.diffVsame                                                  5.69e-13 ***\n",
       "sex.fVm                                                            0.0971 .  \n",
       "RouteOrder.1V2                                                     0.4021    \n",
       "VGA_Connectivity_start_landmark                                    0.5649    \n",
       "VGA_Connectivity_target_landmark                                   0.6878    \n",
       "Route.diffVsame:sex.fVm                                            0.2107    \n",
       "Route.diffVsame:RouteOrder.1V2                                     0.5160    \n",
       "sex.fVm:RouteOrder.1V2                                             0.5435    \n",
       "VGA_Connectivity_start_landmark:VGA_Connectivity_target_landmark   0.9354    \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                             0.5199    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "                (Intr) Rt.dfV sx.fVm RO.1V2 VGA_Cnnctvty_s_ VGA_Cnnctvty_t_\n",
       "Rout.dffVsm     -0.066                                                     \n",
       "sex.fVm         -0.029  0.009                                              \n",
       "RotOrdr.1V2      0.010 -0.005 -0.239                                       \n",
       "VGA_Cnnctvty_s_ -0.986  0.066  0.000  0.000                                \n",
       "VGA_Cnnctvty_t_ -0.986  0.066  0.000  0.000  0.978                         \n",
       "Rt.dffVs:.V      0.000 -0.433 -0.017  0.006  0.001           0.001         \n",
       "Rt.V:RO.1V2     -0.001  0.142  0.006 -0.017  0.001           0.001         \n",
       "sx.V:RO.1V2     -0.016  0.006  0.141 -0.433  0.000           0.000         \n",
       "VGA_C__:VGA      0.970 -0.067  0.000  0.000 -0.987          -0.987         \n",
       "R.V:.V:RO.1      0.002 -0.240 -0.005  0.009 -0.001          -0.001         \n",
       "                Rt.V:.V R.V:RO s.V:RO VGA_C__:\n",
       "Rout.dffVsm                                   \n",
       "sex.fVm                                       \n",
       "RotOrdr.1V2                                   \n",
       "VGA_Cnnctvty_s_                               \n",
       "VGA_Cnnctvty_t_                               \n",
       "Rt.dffVs:.V                                   \n",
       "Rt.V:RO.1V2     -0.241                        \n",
       "sx.V:RO.1V2     -0.005   0.009                \n",
       "VGA_C__:VGA     -0.001  -0.001  0.000         \n",
       "R.V:.V:RO.1      0.143  -0.434 -0.017  0.001  \n",
       "fit warnings:\n",
       "Some predictor variables are on very different scales: consider rescaling"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Connectivity [VGA] ###\n",
    "\n",
    "AbsError_w_VGA_Connectivity.model2 = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                         + VGA_Connectivity_start_landmark*VGA_Connectivity_target_landmark \n",
    "                                         + (1 + Route.diffVsame | participant),  \n",
    "                                         data = AllPointingData)\n",
    "#coef(AbsError_w_VGA_Connectivity.model2)\n",
    "summary(AbsError_w_VGA_Connectivity.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "be1ced9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0692812496716691"
      ],
      "text/latex": [
       "0.0692812496716691"
      ],
      "text/markdown": [
       "0.0692812496716691"
      ],
      "text/plain": [
       "[1] 0.06928125"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.146346143572981"
      ],
      "text/latex": [
       "0.146346143572981"
      ],
      "text/markdown": [
       "0.146346143572981"
      ],
      "text/plain": [
       "[1] 0.1463461"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_VGA_Connectivity.model2)[1]\n",
    "r.squaredGLMM(AbsError_w_VGA_Connectivity.model2)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "4964b7ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + VGA_Integration_start_landmark *  \n",
       "    VGA_Integration_target_landmark + (1 + Route.diffVsame |      participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36100.5\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.4621 -0.6602 -0.2133  0.4251  4.1651 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       91.05   9.542       \n",
       "             Route.diffVsame  128.46  11.334   0.04\n",
       " Residual                    1242.83  35.254       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                               Estimate\n",
       "(Intercept)                                                    -234.381\n",
       "Route.diffVsame                                                  16.888\n",
       "sex.fVm                                                           5.059\n",
       "RouteOrder.1V2                                                   -2.522\n",
       "VGA_Integration_start_landmark                                  127.875\n",
       "VGA_Integration_target_landmark                                  78.183\n",
       "Route.diffVsame:sex.fVm                                           5.230\n",
       "Route.diffVsame:RouteOrder.1V2                                   -2.595\n",
       "sex.fVm:RouteOrder.1V2                                            3.683\n",
       "VGA_Integration_start_landmark:VGA_Integration_target_landmark  -38.986\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                           -5.561\n",
       "                                                               Std. Error\n",
       "(Intercept)                                                        74.601\n",
       "Route.diffVsame                                                     2.186\n",
       "sex.fVm                                                             3.001\n",
       "RouteOrder.1V2                                                      3.001\n",
       "VGA_Integration_start_landmark                                     29.771\n",
       "VGA_Integration_target_landmark                                    29.779\n",
       "Route.diffVsame:sex.fVm                                             4.172\n",
       "Route.diffVsame:RouteOrder.1V2                                      4.172\n",
       "sex.fVm:RouteOrder.1V2                                              6.002\n",
       "VGA_Integration_start_landmark:VGA_Integration_target_landmark     11.906\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                              8.343\n",
       "                                                                     df t value\n",
       "(Intercept)                                                    3483.003  -3.142\n",
       "Route.diffVsame                                                  73.693   7.727\n",
       "sex.fVm                                                          61.124   1.686\n",
       "RouteOrder.1V2                                                   61.124  -0.841\n",
       "VGA_Integration_start_landmark                                 3480.209   4.295\n",
       "VGA_Integration_target_landmark                                3480.242   2.625\n",
       "Route.diffVsame:sex.fVm                                          61.131   1.254\n",
       "Route.diffVsame:RouteOrder.1V2                                   61.131  -0.622\n",
       "sex.fVm:RouteOrder.1V2                                           61.124   0.614\n",
       "VGA_Integration_start_landmark:VGA_Integration_target_landmark 3480.234  -3.274\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                           61.131  -0.667\n",
       "                                                               Pr(>|t|)    \n",
       "(Intercept)                                                     0.00169 ** \n",
       "Route.diffVsame                                                4.36e-11 ***\n",
       "sex.fVm                                                         0.09694 .  \n",
       "RouteOrder.1V2                                                  0.40386    \n",
       "VGA_Integration_start_landmark                                 1.79e-05 ***\n",
       "VGA_Integration_target_landmark                                 0.00869 ** \n",
       "Route.diffVsame:sex.fVm                                         0.21469    \n",
       "Route.diffVsame:RouteOrder.1V2                                  0.53627    \n",
       "sex.fVm:RouteOrder.1V2                                          0.54167    \n",
       "VGA_Integration_start_landmark:VGA_Integration_target_landmark  0.00107 ** \n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                          0.50756    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "               (Intr) Rt.dfV sx.fVm RO.1V2 VGA_Intgrtn_s_ VGA_Intgrtn_t_\n",
       "Rout.dffVsm     0.296                                                   \n",
       "sex.fVm        -0.009  0.007                                            \n",
       "RotOrdr.1V2     0.004 -0.004 -0.239                                     \n",
       "VGA_Intgrtn_s_ -0.997 -0.298  0.001 -0.001                              \n",
       "VGA_Intgrtn_t_ -0.997 -0.298  0.001 -0.001  0.995                       \n",
       "Rt.dffVs:.V     0.001 -0.414 -0.014  0.005 -0.001         -0.001        \n",
       "Rt.V:RO.1V2    -0.001  0.136  0.005 -0.014  0.001          0.001        \n",
       "sx.V:RO.1V2    -0.005  0.005  0.141 -0.433  0.000          0.000        \n",
       "VGA_I__:VGA     0.993  0.299 -0.001  0.001 -0.997         -0.997        \n",
       "R.V:.V:RO.1     0.000 -0.229 -0.004  0.007  0.000          0.000        \n",
       "               Rt.V:.V R.V:RO s.V:RO VGA_I__:\n",
       "Rout.dffVsm                                  \n",
       "sex.fVm                                      \n",
       "RotOrdr.1V2                                  \n",
       "VGA_Intgrtn_s_                               \n",
       "VGA_Intgrtn_t_                               \n",
       "Rt.dffVs:.V                                  \n",
       "Rt.V:RO.1V2    -0.240                        \n",
       "sx.V:RO.1V2    -0.004   0.007                \n",
       "VGA_I__:VGA     0.001  -0.001  0.000         \n",
       "R.V:.V:RO.1     0.142  -0.434 -0.014  0.000  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Integration [VGA] ###\n",
    "\n",
    "AbsError_w_VGA_Integration.model2 = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                        + VGA_Integration_start_landmark*VGA_Integration_target_landmark \n",
    "                                        + (1 + Route.diffVsame | participant),  \n",
    "                                        data = AllPointingData)\n",
    "#coef(AbsError_w_VGA_Integration.model2)\n",
    "summary(AbsError_w_VGA_Integration.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "b5ff23ac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.127310395647977"
      ],
      "text/latex": [
       "0.127310395647977"
      ],
      "text/markdown": [
       "0.127310395647977"
      ],
      "text/plain": [
       "[1] 0.1273104"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.206392320610652"
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      "text/plain": [
       "[1] 0.2063923"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_VGA_Integration.model2)[1]\n",
    "r.squaredGLMM(AbsError_w_VGA_Integration.model2)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "431b2f5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ Route.diffVsame * sex.fVm * RouteOrder.1V2 + VGA_ThruVision_start_landmark *  \n",
       "    VGA_ThruVision_target_landmark + (1 + Route.diffVsame | participant)\n",
       "   Data: AllPointingData\n",
       "\n",
       "REML criterion at convergence: 36267\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.3003 -0.6573 -0.2456  0.4350  4.1269 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name            Variance Std.Dev. Corr\n",
       " participant (Intercept)       90.38   9.507       \n",
       "             Route.diffVsame  125.22  11.190   0.05\n",
       " Residual                    1299.95  36.055       \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                              Estimate\n",
       "(Intercept)                                                    38.5677\n",
       "Route.diffVsame                                                17.3907\n",
       "sex.fVm                                                         5.0566\n",
       "RouteOrder.1V2                                                 -2.5500\n",
       "VGA_ThruVision_start_landmark                                   7.3925\n",
       "VGA_ThruVision_target_landmark                                  0.4498\n",
       "Route.diffVsame:sex.fVm                                         5.2729\n",
       "Route.diffVsame:RouteOrder.1V2                                 -2.7403\n",
       "sex.fVm:RouteOrder.1V2                                          3.6766\n",
       "VGA_ThruVision_start_landmark:VGA_ThruVision_target_landmark    8.3831\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                         -5.4121\n",
       "                                                             Std. Error\n",
       "(Intercept)                                                      1.5229\n",
       "Route.diffVsame                                                  2.1117\n",
       "sex.fVm                                                          3.0058\n",
       "RouteOrder.1V2                                                   3.0058\n",
       "VGA_ThruVision_start_landmark                                    0.7993\n",
       "VGA_ThruVision_target_landmark                                   0.7996\n",
       "Route.diffVsame:sex.fVm                                          4.1809\n",
       "Route.diffVsame:RouteOrder.1V2                                   4.1809\n",
       "sex.fVm:RouteOrder.1V2                                           6.0117\n",
       "VGA_ThruVision_start_landmark:VGA_ThruVision_target_landmark     1.5663\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                           8.3618\n",
       "                                                                    df t value\n",
       "(Intercept)                                                    64.4511  25.325\n",
       "Route.diffVsame                                                63.6579   8.235\n",
       "sex.fVm                                                        61.1295   1.682\n",
       "RouteOrder.1V2                                                 61.1294  -0.848\n",
       "VGA_ThruVision_start_landmark                                3479.8693   9.248\n",
       "VGA_ThruVision_target_landmark                               3480.0307   0.563\n",
       "Route.diffVsame:sex.fVm                                        61.1357   1.261\n",
       "Route.diffVsame:RouteOrder.1V2                                 61.1358  -0.655\n",
       "sex.fVm:RouteOrder.1V2                                         61.1296   0.612\n",
       "VGA_ThruVision_start_landmark:VGA_ThruVision_target_landmark 3480.0480   5.352\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                         61.1356  -0.647\n",
       "                                                             Pr(>|t|)    \n",
       "(Intercept)                                                   < 2e-16 ***\n",
       "Route.diffVsame                                              1.29e-11 ***\n",
       "sex.fVm                                                        0.0976 .  \n",
       "RouteOrder.1V2                                                 0.3995    \n",
       "VGA_ThruVision_start_landmark                                 < 2e-16 ***\n",
       "VGA_ThruVision_target_landmark                                 0.5738    \n",
       "Route.diffVsame:sex.fVm                                        0.2120    \n",
       "Route.diffVsame:RouteOrder.1V2                                 0.5147    \n",
       "sex.fVm:RouteOrder.1V2                                         0.5431    \n",
       "VGA_ThruVision_start_landmark:VGA_ThruVision_target_landmark 9.26e-08 ***\n",
       "Route.diffVsame:sex.fVm:RouteOrder.1V2                         0.5199    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Correlation of Fixed Effects:\n",
       "              (Intr) Rt.dfV sx.fVm RO.1V2 VGA_ThrVsn_s_ VGA_ThrVsn_t_ Rt.V:.V\n",
       "Rout.dffVsm   -0.038                                                         \n",
       "sex.fVm       -0.428  0.008                                                  \n",
       "RotOrdr.1V2    0.139 -0.005 -0.239                                           \n",
       "VGA_ThrVsn_s_  0.105 -0.092  0.001 -0.001                                    \n",
       "VGA_ThrVsn_t_  0.105 -0.092  0.001  0.000  0.507                             \n",
       "Rt.dffVs:.V    0.008 -0.430 -0.015  0.006  0.000         0.001               \n",
       "Rt.V:RO.1V2   -0.005  0.141  0.006 -0.015 -0.001        -0.001        -0.240 \n",
       "sx.V:RO.1V2   -0.236  0.006  0.141 -0.433  0.000        -0.001        -0.005 \n",
       "VGA_TV__:VG    0.162 -0.142  0.000  0.000  0.652         0.652         0.001 \n",
       "R.V:.V:RO.1    0.006 -0.238 -0.005  0.008 -0.001         0.000         0.142 \n",
       "              R.V:RO s.V:RO VGA_TV__:\n",
       "Rout.dffVsm                          \n",
       "sex.fVm                              \n",
       "RotOrdr.1V2                          \n",
       "VGA_ThrVsn_s_                        \n",
       "VGA_ThrVsn_t_                        \n",
       "Rt.dffVs:.V                          \n",
       "Rt.V:RO.1V2                          \n",
       "sx.V:RO.1V2    0.008                 \n",
       "VGA_TV__:VG   -0.001 -0.001          \n",
       "R.V:.V:RO.1   -0.434 -0.015  0.000   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Through Vision [VGA] ###\n",
    "\n",
    "AbsError_w_VGA_ThruVision.model2 = lmer(abs_error ~ Route.diffVsame*sex.fVm*RouteOrder.1V2 \n",
    "                                       + VGA_ThruVision_start_landmark*VGA_ThruVision_target_landmark \n",
    "                                       + (1 + Route.diffVsame | participant),  \n",
    "                                       data = AllPointingData)\n",
    "#coef(AbsError_w_VGA_ThruVision.model2)\n",
    "summary(AbsError_w_VGA_ThruVision.model2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "d81b91e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0920258073007065"
      ],
      "text/latex": [
       "0.0920258073007065"
      ],
      "text/markdown": [
       "0.0920258073007065"
      ],
      "text/plain": [
       "[1] 0.09202581"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.170149409734144"
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      "text/latex": [
       "0.170149409734144"
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       "0.170149409734144"
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      "text/plain": [
       "[1] 0.1701494"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_w_VGA_ThruVision.model2)[1]\n",
    "r.squaredGLMM(AbsError_w_VGA_ThruVision.model2)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "8e7b1180",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "| visibility | abs_error |\n",
      "|:----------:|:---------:|\n",
      "| different  |   48.3    |\n",
      "|  sameseen  |   23.63   |\n",
      "| sameunseen |   40.31   |\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#######################################\n",
    "#### Exploration with visibility ######\n",
    "#######################################\n",
    "\n",
    "# We need to create a factor that distinguishes: same-seen, same-unseen, and different\n",
    "AllPointingData$visibility = 'different'\n",
    "AllPointingData$visibility[AllPointingData$same_or_different %in% c('same') & AllPointingData$seenunseen %in% c('0')]='sameseen'\n",
    "AllPointingData$visibility[AllPointingData$same_or_different %in% c('same') & AllPointingData$seenunseen %in% c('1')]='sameunseen'\n",
    "\n",
    "pander(aggregate(abs_error~visibility,data=AllPointingData,FUN=mean))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "46ebc419",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "| visibility | abs_error |\n",
      "|:----------:|:---------:|\n",
      "| different  |   41.75   |\n",
      "|  sameseen  |   31.57   |\n",
      "| sameunseen |   33.09   |\n",
      "\n"
     ]
    }
   ],
   "source": [
    "pander(aggregate(abs_error~visibility,data=AllPointingData,FUN=sd))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "dd70b21f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  visibility     mean       sd        se\n",
      "1  different 48.30185 41.74828 0.9182657\n",
      "2   sameseen 23.63240 31.56828 0.9544261\n",
      "3 sameunseen 40.30722 33.08799 1.5563280\n"
     ]
    }
   ],
   "source": [
    "# Alternatively, with dplyer\n",
    "summtError = dplyr::summarize(group_by(AllPointingData,visibility),\n",
    "                              mean=mean(abs_error, na.rm = TRUE), sd= sd(abs_error, na.rm = TRUE), se=sd(abs_error, na.rm = TRUE)/sqrt(length(abs_error)))\n",
    "print.data.frame(summtError)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "fc25c04a",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Define contrast structure for this factor\n",
    "AllPointingData2 <- within(AllPointingData, {\n",
    "  \n",
    "  # Factor 1: Visibility type\n",
    "  Visibility.sameseenVsameunseen <- ifelse( visibility==\"different\", 0,\n",
    "                        ifelse( visibility==\"sameunseen\", 1/2,\n",
    "                                ifelse( visibility==\"sameseen\", -1/2, NA )))\n",
    "  \n",
    "  Visibility.sameseenVdifferent <- ifelse( visibility==\"different\", 1/2,\n",
    "                                            ifelse( visibility==\"sameunseen\", 0,\n",
    "                                                    ifelse( visibility==\"sameseen\", -1/2, NA )))\n",
    "  # Factor 2: sex\n",
    "  sex.fVm <- ifelse( sex==\"1\", 1/2, #female\n",
    "                     ifelse( sex==\"2\", -1/2, NA ) ) #male\n",
    "  \n",
    "  \n",
    "  # Factor 3: RouteOrder\n",
    "  RouteOrder.1V2 <- ifelse( Route_Order==\"1\", 1/2, \n",
    "                            ifelse( Route_Order==\"2\", -1/2, NA ) ) \n",
    "  \n",
    "} )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "d9c0795f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "boundary (singular) fit: see ?isSingular\n",
      "\n",
      "\n",
      "Correlation matrix not shown by default, as p = 14 > 12.\n",
      "Use print(obj, correlation=TRUE)  or\n",
      "    vcov(obj)        if you need it\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) *  \n",
       "    sex.fVm * RouteOrder.1V2 + Connectivity_start_landmark +  \n",
       "    Connectivity_target_landmark + (1 + (Visibility.sameseenVsameunseen +  \n",
       "    Visibility.sameseenVdifferent) | participant)\n",
       "   Data: AllPointingData2\n",
       "\n",
       "REML criterion at convergence: 36157.4\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.0090 -0.6473 -0.2216  0.3685  4.1902 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name                           Variance Std.Dev. Corr       \n",
       " participant (Intercept)                      89.72   9.472              \n",
       "             Visibility.sameseenVsameunseen   67.36   8.208    0.00      \n",
       "             Visibility.sameseenVdifferent   230.10  15.169   -0.14 -0.99\n",
       " Residual                                   1266.74  35.591              \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                       Estimate Std. Error\n",
       "(Intercept)                                             46.0598     2.6043\n",
       "Visibility.sameseenVsameunseen                           1.7918     3.0988\n",
       "Visibility.sameseenVdifferent                           21.8132     2.8752\n",
       "sex.fVm                                                  4.2385     3.1166\n",
       "RouteOrder.1V2                                          -1.5031     3.1166\n",
       "Connectivity_start_landmark                              1.0629     0.3398\n",
       "Connectivity_target_landmark                            -3.5434     0.3428\n",
       "Visibility.sameseenVsameunseen:sex.fVm                  -3.1372     5.9274\n",
       "Visibility.sameseenVdifferent:sex.fVm                    6.8609     5.7337\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            6.5897     5.9274\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            -4.6565     5.7337\n",
       "sex.fVm:RouteOrder.1V2                                   3.5437     6.2333\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2   -5.5054    11.8548\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    -5.1556    11.4674\n",
       "                                                             df t value\n",
       "(Intercept)                                            453.3629  17.686\n",
       "Visibility.sameseenVsameunseen                         176.1955   0.578\n",
       "Visibility.sameseenVdifferent                           62.5790   7.587\n",
       "sex.fVm                                                 61.5954   1.360\n",
       "RouteOrder.1V2                                          61.5953  -0.482\n",
       "Connectivity_start_landmark                           3477.7740   3.128\n",
       "Connectivity_target_landmark                          3477.8067 -10.338\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 148.3551  -0.529\n",
       "Visibility.sameseenVdifferent:sex.fVm                   61.8536   1.197\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          148.3540   1.112\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            61.8534  -0.812\n",
       "sex.fVm:RouteOrder.1V2                                  61.5953   0.569\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  148.3536  -0.464\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    61.8531  -0.450\n",
       "                                                      Pr(>|t|)    \n",
       "(Intercept)                                            < 2e-16 ***\n",
       "Visibility.sameseenVsameunseen                         0.56384    \n",
       "Visibility.sameseenVdifferent                         1.96e-10 ***\n",
       "sex.fVm                                                0.17880    \n",
       "RouteOrder.1V2                                         0.63133    \n",
       "Connectivity_start_landmark                            0.00177 ** \n",
       "Connectivity_target_landmark                           < 2e-16 ***\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 0.59741    \n",
       "Visibility.sameseenVdifferent:sex.fVm                  0.23604    \n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          0.26805    \n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2           0.41983    \n",
       "sex.fVm:RouteOrder.1V2                                 0.57176    \n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  0.64304    \n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2   0.65458    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "optimizer (nloptwrap) convergence code: 0 (OK)\n",
       "boundary (singular) fit: see ?isSingular\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# LMEMs from previous submission\n",
    "#AbsError_SeenUnseen.model = lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2 \n",
    "#                                 + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "#                       data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen.model)\n",
    "#summary(AbsError_SeenUnseen.model)\n",
    "\n",
    "# Get effect size for model\n",
    "#r.squaredGLMM(AbsError_SeenUnseen.model)[1]\n",
    "#r.squaredGLMM(AbsError_SeenUnseen.model)[2] #we report this\n",
    "\n",
    "\n",
    "### NEW: Model with Connectivity [Axial Map] ###\n",
    "AbsError_SeenUnseen_Connectivity.model = lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2  \n",
    "                                   + Connectivity_start_landmark\n",
    "                                  + Connectivity_target_landmark\n",
    "                                  + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "                                 data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen_Connectivity.model)\n",
    "summary(AbsError_SeenUnseen_Connectivity.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "4c798c6c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.113069095120638"
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      "text/latex": [
       "0.113069095120638"
      ],
      "text/markdown": [
       "0.113069095120638"
      ],
      "text/plain": [
       "[1] 0.1130691"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.191709174457652"
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       "0.191709174457652"
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       "0.191709174457652"
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      "text/plain": [
       "[1] 0.1917092"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_SeenUnseen_Connectivity.model)[1]\n",
    "r.squaredGLMM(AbsError_SeenUnseen_Connectivity.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "d8299298",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "boundary (singular) fit: see ?isSingular\n",
      "\n",
      "\n",
      "Correlation matrix not shown by default, as p = 14 > 12.\n",
      "Use print(obj, correlation=TRUE)  or\n",
      "    vcov(obj)        if you need it\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) *  \n",
       "    sex.fVm * RouteOrder.1V2 + Integration_start_landmark + Integration_target_landmark +  \n",
       "    (1 + (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) |  \n",
       "        participant)\n",
       "   Data: AllPointingData2\n",
       "\n",
       "REML criterion at convergence: 36146.1\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.1170 -0.6402 -0.2243  0.3775  3.9827 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name                           Variance Std.Dev. Corr       \n",
       " participant (Intercept)                      89.72   9.472              \n",
       "             Visibility.sameseenVsameunseen   67.36   8.207    0.00      \n",
       "             Visibility.sameseenVdifferent   230.18  15.172   -0.14 -0.99\n",
       " Residual                                   1265.44  35.573              \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                      Estimate Std. Error\n",
       "(Intercept)                                             38.335      4.933\n",
       "Visibility.sameseenVsameunseen                           4.667      3.118\n",
       "Visibility.sameseenVdifferent                           21.128      2.876\n",
       "sex.fVm                                                  4.225      3.116\n",
       "RouteOrder.1V2                                          -1.505      3.116\n",
       "Integration_start_landmark                              16.442      2.310\n",
       "Integration_target_landmark                            -18.096      2.360\n",
       "Visibility.sameseenVsameunseen:sex.fVm                  -3.081      5.925\n",
       "Visibility.sameseenVdifferent:sex.fVm                    6.889      5.733\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            6.578      5.925\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            -4.651      5.733\n",
       "sex.fVm:RouteOrder.1V2                                   3.536      6.232\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2   -5.482     11.850\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    -5.188     11.466\n",
       "                                                            df t value Pr(>|t|)\n",
       "(Intercept)                                           2518.029   7.772 1.12e-14\n",
       "Visibility.sameseenVsameunseen                         180.568   1.497    0.136\n",
       "Visibility.sameseenVdifferent                           62.668   7.346 5.11e-10\n",
       "sex.fVm                                                 61.570   1.356    0.180\n",
       "RouteOrder.1V2                                          61.570  -0.483    0.631\n",
       "Integration_start_landmark                            3477.600   7.119 1.32e-12\n",
       "Integration_target_landmark                           3477.636  -7.667 2.28e-14\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 148.242  -0.520    0.604\n",
       "Visibility.sameseenVdifferent:sex.fVm                   61.837   1.202    0.234\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          148.241   1.110    0.269\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            61.837  -0.811    0.420\n",
       "sex.fVm:RouteOrder.1V2                                  61.570   0.567    0.573\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  148.241  -0.463    0.644\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    61.837  -0.453    0.652\n",
       "                                                         \n",
       "(Intercept)                                           ***\n",
       "Visibility.sameseenVsameunseen                           \n",
       "Visibility.sameseenVdifferent                         ***\n",
       "sex.fVm                                                  \n",
       "RouteOrder.1V2                                           \n",
       "Integration_start_landmark                            ***\n",
       "Integration_target_landmark                           ***\n",
       "Visibility.sameseenVsameunseen:sex.fVm                   \n",
       "Visibility.sameseenVdifferent:sex.fVm                    \n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            \n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2             \n",
       "sex.fVm:RouteOrder.1V2                                   \n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2    \n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2     \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "optimizer (nloptwrap) convergence code: 0 (OK)\n",
       "boundary (singular) fit: see ?isSingular\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Integration [Axial Map] ###\n",
    "AbsError_SeenUnseen_Integration.model = lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2  \n",
    "                                              + Integration_start_landmark\n",
    "                                              + Integration_target_landmark\n",
    "                                              + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "                                              data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen_Integration.model)\n",
    "summary(AbsError_SeenUnseen_Integration.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "81dfde94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.113886047089147"
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      "text/latex": [
       "0.113886047089147"
      ],
      "text/markdown": [
       "0.113886047089147"
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      "text/plain": [
       "[1] 0.113886"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.192523324687154"
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      "text/latex": [
       "0.192523324687154"
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       "0.192523324687154"
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      "text/plain": [
       "[1] 0.1925233"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_SeenUnseen_Integration.model)[1]\n",
    "r.squaredGLMM(AbsError_SeenUnseen_Integration.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "748953d3",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Correlation matrix not shown by default, as p = 14 > 12.\n",
      "Use print(obj, correlation=TRUE)  or\n",
      "    vcov(obj)        if you need it\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) *  \n",
       "    sex.fVm * RouteOrder.1V2 + Choice_start_landmark + Choice_target_landmark +  \n",
       "    (1 + (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) |  \n",
       "        participant)\n",
       "   Data: AllPointingData2\n",
       "\n",
       "REML criterion at convergence: 36292.4\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.7928 -0.6438 -0.2561  0.3567  4.0192 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name                           Variance Std.Dev. Corr       \n",
       " participant (Intercept)                      88.86   9.427              \n",
       "             Visibility.sameseenVsameunseen   65.44   8.090   -0.01      \n",
       "             Visibility.sameseenVdifferent   223.60  14.953   -0.13 -0.99\n",
       " Residual                                   1311.21  36.211              \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                        Estimate Std. Error\n",
       "(Intercept)                                            3.693e+01  1.879e+00\n",
       "Visibility.sameseenVsameunseen                         6.163e+00  3.003e+00\n",
       "Visibility.sameseenVdifferent                          2.077e+01  2.867e+00\n",
       "sex.fVm                                                4.223e+00  3.121e+00\n",
       "RouteOrder.1V2                                        -1.519e+00  3.121e+00\n",
       "Choice_start_landmark                                  1.660e-02  8.048e-03\n",
       "Choice_target_landmark                                -2.325e-02  8.063e-03\n",
       "Visibility.sameseenVsameunseen:sex.fVm                -3.166e+00  6.002e+00\n",
       "Visibility.sameseenVdifferent:sex.fVm                  6.934e+00  5.734e+00\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          6.650e+00  6.002e+00\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2          -4.731e+00  5.734e+00\n",
       "sex.fVm:RouteOrder.1V2                                 3.546e+00  6.241e+00\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2 -5.525e+00  1.200e+01\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2  -5.094e+00  1.147e+01\n",
       "                                                              df t value\n",
       "(Intercept)                                            1.290e+02  19.661\n",
       "Visibility.sameseenVsameunseen                         1.553e+02   2.052\n",
       "Visibility.sameseenVdifferent                          6.201e+01   7.244\n",
       "sex.fVm                                                6.165e+01   1.353\n",
       "RouteOrder.1V2                                         6.165e+01  -0.487\n",
       "Choice_start_landmark                                  3.477e+03   2.063\n",
       "Choice_target_landmark                                 3.477e+03  -2.884\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 1.549e+02  -0.527\n",
       "Visibility.sameseenVdifferent:sex.fVm                  6.199e+01   1.209\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          1.549e+02   1.108\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2           6.199e+01  -0.825\n",
       "sex.fVm:RouteOrder.1V2                                 6.165e+01   0.568\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  1.549e+02  -0.460\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2   6.199e+01  -0.444\n",
       "                                                      Pr(>|t|)    \n",
       "(Intercept)                                            < 2e-16 ***\n",
       "Visibility.sameseenVsameunseen                         0.04183 *  \n",
       "Visibility.sameseenVdifferent                         8.11e-10 ***\n",
       "sex.fVm                                                0.18086    \n",
       "RouteOrder.1V2                                         0.62817    \n",
       "Choice_start_landmark                                  0.03917 *  \n",
       "Choice_target_landmark                                 0.00395 ** \n",
       "Visibility.sameseenVsameunseen:sex.fVm                 0.59868    \n",
       "Visibility.sameseenVdifferent:sex.fVm                  0.23118    \n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          0.26960    \n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2           0.41254    \n",
       "sex.fVm:RouteOrder.1V2                                 0.57202    \n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  0.64599    \n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2   0.65845    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Choice [Axial Map] ###\n",
    "AbsError_SeenUnseen_Choice.model = lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2  \n",
    "                                             + Choice_start_landmark\n",
    "                                             + Choice_target_landmark\n",
    "                                             + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "                                             data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen_Choice.model)\n",
    "summary(AbsError_SeenUnseen_Choice.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "579aa564",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0857684609681633"
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      "text/latex": [
       "0.0857684609681633"
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      "text/markdown": [
       "0.0857684609681633"
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      "text/plain": [
       "[1] 0.08576846"
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     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "text/html": [
       "0.163382616158341"
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       "0.163382616158341"
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       "0.163382616158341"
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      "text/plain": [
       "[1] 0.1633826"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_SeenUnseen_Choice.model)[1]\n",
    "r.squaredGLMM(AbsError_SeenUnseen_Choice.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "9cb6ec1b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "boundary (singular) fit: see ?isSingular\n",
      "\n",
      "\n",
      "Correlation matrix not shown by default, as p = 14 > 12.\n",
      "Use print(obj, correlation=TRUE)  or\n",
      "    vcov(obj)        if you need it\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) *  \n",
       "    sex.fVm * RouteOrder.1V2 + VGA_Connectivity_start_landmark +  \n",
       "    VGA_Connectivity_target_landmark + (1 + (Visibility.sameseenVsameunseen +  \n",
       "    Visibility.sameseenVdifferent) | participant)\n",
       "   Data: AllPointingData2\n",
       "\n",
       "REML criterion at convergence: 36281.9\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-1.7799 -0.6484 -0.2546  0.3586  3.9841 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name                           Variance Std.Dev. Corr       \n",
       " participant (Intercept)                      88.93   9.430              \n",
       "             Visibility.sameseenVsameunseen   65.33   8.083    0.00      \n",
       "             Visibility.sameseenVdifferent   223.60  14.953   -0.14 -0.99\n",
       " Residual                                   1309.63  36.189              \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                        Estimate Std. Error\n",
       "(Intercept)                                             14.31349    5.42677\n",
       "Visibility.sameseenVsameunseen                           7.61599    3.00882\n",
       "Visibility.sameseenVdifferent                           20.40269    2.86677\n",
       "sex.fVm                                                  4.22694    3.12083\n",
       "RouteOrder.1V2                                          -1.52025    3.12082\n",
       "VGA_Connectivity_start_landmark                          0.14414    0.03803\n",
       "VGA_Connectivity_target_landmark                         0.10137    0.03809\n",
       "Visibility.sameseenVsameunseen:sex.fVm                  -3.24873    5.99859\n",
       "Visibility.sameseenVdifferent:sex.fVm                    6.95155    5.73233\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            6.69142    5.99857\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            -4.75397    5.73232\n",
       "sex.fVm:RouteOrder.1V2                                   3.53767    6.24165\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2   -5.52675   11.99714\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    -5.15923   11.46465\n",
       "                                                              df t value\n",
       "(Intercept)                                           2817.27300   2.638\n",
       "Visibility.sameseenVsameunseen                         156.77649   2.531\n",
       "Visibility.sameseenVdifferent                           62.04515   7.117\n",
       "sex.fVm                                                 61.64196   1.354\n",
       "RouteOrder.1V2                                          61.64171  -0.487\n",
       "VGA_Connectivity_start_landmark                       3477.06033   3.790\n",
       "VGA_Connectivity_target_landmark                      3477.37974   2.661\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 154.86455  -0.542\n",
       "Visibility.sameseenVdifferent:sex.fVm                   61.99287   1.213\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          154.86340   1.116\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            61.99265  -0.829\n",
       "sex.fVm:RouteOrder.1V2                                  61.64169   0.567\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  154.86286  -0.461\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    61.99279  -0.450\n",
       "                                                      Pr(>|t|)    \n",
       "(Intercept)                                           0.008396 ** \n",
       "Visibility.sameseenVsameunseen                        0.012352 *  \n",
       "Visibility.sameseenVdifferent                         1.34e-09 ***\n",
       "sex.fVm                                               0.180544    \n",
       "RouteOrder.1V2                                        0.627892    \n",
       "VGA_Connectivity_start_landmark                       0.000153 ***\n",
       "VGA_Connectivity_target_landmark                      0.007827 ** \n",
       "Visibility.sameseenVsameunseen:sex.fVm                0.588885    \n",
       "Visibility.sameseenVdifferent:sex.fVm                 0.229848    \n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2         0.266364    \n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2          0.410101    \n",
       "sex.fVm:RouteOrder.1V2                                0.572919    \n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2 0.645680    \n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2  0.654271    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "optimizer (nloptwrap) convergence code: 0 (OK)\n",
       "boundary (singular) fit: see ?isSingular\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Connectivity [VGA] ###\n",
    "AbsError_SeenUnseen_VGA_Connectivity.model = lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2  \n",
    "                                              + VGA_Connectivity_start_landmark\n",
    "                                              + VGA_Connectivity_target_landmark\n",
    "                                              + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "                                              data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen_VGA_Connectivity.model)\n",
    "summary(AbsError_SeenUnseen_VGA_Connectivity.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "70139b3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.0867529076527171"
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      "text/latex": [
       "0.0867529076527171"
      ],
      "text/markdown": [
       "0.0867529076527171"
      ],
      "text/plain": [
       "[1] 0.08675291"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "0.164350715196012"
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      "text/latex": [
       "0.164350715196012"
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      "text/markdown": [
       "0.164350715196012"
      ],
      "text/plain": [
       "[1] 0.1643507"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_SeenUnseen_VGA_Connectivity.model)[1]\n",
    "r.squaredGLMM(AbsError_SeenUnseen_VGA_Connectivity.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "c81aa001",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "boundary (singular) fit: see ?isSingular\n",
      "\n",
      "\n",
      "Correlation matrix not shown by default, as p = 14 > 12.\n",
      "Use print(obj, correlation=TRUE)  or\n",
      "    vcov(obj)        if you need it\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) *  \n",
       "    sex.fVm * RouteOrder.1V2 + VGA_Integration_start_landmark +  \n",
       "    VGA_Integration_target_landmark + (1 + (Visibility.sameseenVsameunseen +  \n",
       "    Visibility.sameseenVdifferent) | participant)\n",
       "   Data: AllPointingData2\n",
       "\n",
       "REML criterion at convergence: 36008.2\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.3155 -0.6647 -0.2012  0.4220  3.9141 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name                           Variance Std.Dev. Corr       \n",
       " participant (Intercept)                      90.35   9.505              \n",
       "             Visibility.sameseenVsameunseen   69.27   8.323   -0.01      \n",
       "             Visibility.sameseenVdifferent   234.89  15.326   -0.14 -0.99\n",
       " Residual                                   1216.46  34.878              \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                      Estimate Std. Error\n",
       "(Intercept)                                            -26.696      9.596\n",
       "Visibility.sameseenVsameunseen                          10.132      3.065\n",
       "Visibility.sameseenVdifferent                           19.846      2.867\n",
       "sex.fVm                                                  4.249      3.108\n",
       "RouteOrder.1V2                                          -1.533      3.108\n",
       "VGA_Integration_start_landmark                          36.493      2.431\n",
       "VGA_Integration_target_landmark                        -11.012      2.497\n",
       "Visibility.sameseenVsameunseen:sex.fVm                  -2.970      5.840\n",
       "Visibility.sameseenVdifferent:sex.fVm                    6.867      5.716\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            6.559      5.840\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            -4.572      5.716\n",
       "sex.fVm:RouteOrder.1V2                                   3.556      6.216\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2   -5.492     11.679\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    -5.323     11.432\n",
       "                                                            df t value Pr(>|t|)\n",
       "(Intercept)                                           3514.844  -2.782  0.00543\n",
       "Visibility.sameseenVsameunseen                         169.985   3.306  0.00116\n",
       "Visibility.sameseenVdifferent                           62.438   6.923 2.83e-09\n",
       "sex.fVm                                                 61.498   1.367  0.17652\n",
       "RouteOrder.1V2                                          61.498  -0.493  0.62348\n",
       "VGA_Integration_start_landmark                        3477.734  15.010  < 2e-16\n",
       "VGA_Integration_target_landmark                       3477.389  -4.409 1.07e-05\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 140.918  -0.509  0.61187\n",
       "Visibility.sameseenVdifferent:sex.fVm                   61.678   1.201  0.23418\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          140.917   1.123  0.26326\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            61.678  -0.800  0.42687\n",
       "sex.fVm:RouteOrder.1V2                                  61.498   0.572  0.56937\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  140.916  -0.470  0.63892\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    61.678  -0.466  0.64311\n",
       "                                                         \n",
       "(Intercept)                                           ** \n",
       "Visibility.sameseenVsameunseen                        ** \n",
       "Visibility.sameseenVdifferent                         ***\n",
       "sex.fVm                                                  \n",
       "RouteOrder.1V2                                           \n",
       "VGA_Integration_start_landmark                        ***\n",
       "VGA_Integration_target_landmark                       ***\n",
       "Visibility.sameseenVsameunseen:sex.fVm                   \n",
       "Visibility.sameseenVdifferent:sex.fVm                    \n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            \n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2             \n",
       "sex.fVm:RouteOrder.1V2                                   \n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2    \n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2     \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "optimizer (nloptwrap) convergence code: 0 (OK)\n",
       "boundary (singular) fit: see ?isSingular\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Integration [VGA] ###\n",
    "AbsError_SeenUnseen_VGA_Integration.model = lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2  \n",
    "                                                  + VGA_Integration_start_landmark\n",
    "                                                  + VGA_Integration_target_landmark\n",
    "                                                  + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "                                                  data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen_VGA_Integration.model)\n",
    "summary(AbsError_SeenUnseen_VGA_Integration.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "1ad8c80a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.144097967442306"
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       "0.144097967442306"
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       "[1] 0.144098"
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       "[1] 0.2236164"
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   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_SeenUnseen_VGA_Integration.model)[1]\n",
    "r.squaredGLMM(AbsError_SeenUnseen_VGA_Integration.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "4d815272",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "boundary (singular) fit: see ?isSingular\n",
      "\n",
      "\n",
      "Correlation matrix not shown by default, as p = 14 > 12.\n",
      "Use print(obj, correlation=TRUE)  or\n",
      "    vcov(obj)        if you need it\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Linear mixed model fit by REML. t-tests use Satterthwaite's method [\n",
       "lmerModLmerTest]\n",
       "Formula: \n",
       "abs_error ~ (Visibility.sameseenVsameunseen + Visibility.sameseenVdifferent) *  \n",
       "    sex.fVm * RouteOrder.1V2 + VGA_ThruVision_start_landmark +  \n",
       "    VGA_ThruVision_target_landmark + (1 + (Visibility.sameseenVsameunseen +  \n",
       "    Visibility.sameseenVdifferent) | participant)\n",
       "   Data: AllPointingData2\n",
       "\n",
       "REML criterion at convergence: 36192\n",
       "\n",
       "Scaled residuals: \n",
       "    Min      1Q  Median      3Q     Max \n",
       "-2.0936 -0.6525 -0.2189  0.3956  3.8151 \n",
       "\n",
       "Random effects:\n",
       " Groups      Name                           Variance Std.Dev. Corr       \n",
       " participant (Intercept)                      89.58   9.465              \n",
       "             Visibility.sameseenVsameunseen   66.28   8.141    0.00      \n",
       "             Visibility.sameseenVdifferent   227.54  15.084   -0.14 -0.99\n",
       " Residual                                   1280.31  35.781              \n",
       "Number of obs: 3613, groups:  participant, 65\n",
       "\n",
       "Fixed effects:\n",
       "                                                       Estimate Std. Error\n",
       "(Intercept)                                             36.7171     1.5609\n",
       "Visibility.sameseenVsameunseen                           9.0712     3.0163\n",
       "Visibility.sameseenVdifferent                           20.0570     2.8675\n",
       "sex.fVm                                                  4.2188     3.1194\n",
       "RouteOrder.1V2                                          -1.5364     3.1194\n",
       "VGA_ThruVision_start_landmark                            5.5715     0.6107\n",
       "VGA_ThruVision_target_landmark                          -1.4554     0.6093\n",
       "Visibility.sameseenVsameunseen:sex.fVm                  -3.3193     5.9471\n",
       "Visibility.sameseenVdifferent:sex.fVm                    6.9468     5.7298\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2            6.7667     5.9470\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            -4.7387     5.7298\n",
       "sex.fVm:RouteOrder.1V2                                   3.5754     6.2388\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2   -5.6174    11.8941\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    -5.1625    11.4596\n",
       "                                                             df t value\n",
       "(Intercept)                                             61.7725  23.523\n",
       "Visibility.sameseenVsameunseen                         159.2408   3.007\n",
       "Visibility.sameseenVdifferent                           62.1090   6.995\n",
       "sex.fVm                                                 61.5855   1.352\n",
       "RouteOrder.1V2                                          61.5855  -0.493\n",
       "VGA_ThruVision_start_landmark                         3476.7618   9.123\n",
       "VGA_ThruVision_target_landmark                        3476.9963  -2.389\n",
       "Visibility.sameseenVsameunseen:sex.fVm                 150.6845  -0.558\n",
       "Visibility.sameseenVdifferent:sex.fVm                   61.8872   1.212\n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          150.6844   1.138\n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2            61.8871  -0.827\n",
       "sex.fVm:RouteOrder.1V2                                  61.5855   0.573\n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  150.6840  -0.472\n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2    61.8873  -0.450\n",
       "                                                      Pr(>|t|)    \n",
       "(Intercept)                                            < 2e-16 ***\n",
       "Visibility.sameseenVsameunseen                         0.00306 ** \n",
       "Visibility.sameseenVdifferent                         2.18e-09 ***\n",
       "sex.fVm                                                0.18117    \n",
       "RouteOrder.1V2                                         0.62408    \n",
       "VGA_ThruVision_start_landmark                          < 2e-16 ***\n",
       "VGA_ThruVision_target_landmark                         0.01696 *  \n",
       "Visibility.sameseenVsameunseen:sex.fVm                 0.57757    \n",
       "Visibility.sameseenVdifferent:sex.fVm                  0.22996    \n",
       "Visibility.sameseenVsameunseen:RouteOrder.1V2          0.25700    \n",
       "Visibility.sameseenVdifferent:RouteOrder.1V2           0.41140    \n",
       "sex.fVm:RouteOrder.1V2                                 0.56866    \n",
       "Visibility.sameseenVsameunseen:sex.fVm:RouteOrder.1V2  0.63741    \n",
       "Visibility.sameseenVdifferent:sex.fVm:RouteOrder.1V2   0.65393    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "optimizer (nloptwrap) convergence code: 0 (OK)\n",
       "boundary (singular) fit: see ?isSingular\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### NEW: Model with Through Vision [VGA] - Aug 2019 ###\n",
    "AbsError_SeenUnseen_VGA_ThruVision.model <- lmer(abs_error ~ (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent)*sex.fVm*RouteOrder.1V2  \n",
    "                                                 + VGA_ThruVision_start_landmark \n",
    "                                                 + VGA_ThruVision_target_landmark  \n",
    "                                                 + (1 + (Visibility.sameseenVsameunseen+Visibility.sameseenVdifferent) | participant),  \n",
    "                                                 data = AllPointingData2)\n",
    "#coef(AbsError_SeenUnseen_VGA_ThruVision.model)\n",
    "summary(AbsError_SeenUnseen_VGA_ThruVision.model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "8c6946cf",
   "metadata": {},
   "outputs": [
    {
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       "[1] 0.1047757"
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       "[1] 0.1830351"
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   ],
   "source": [
    "# Get effect size for model\n",
    "r.squaredGLMM(AbsError_SeenUnseen_VGA_ThruVision.model)[1]\n",
    "r.squaredGLMM(AbsError_SeenUnseen_VGA_ThruVision.model)[2] #we report this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "40ee84d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = r2_Overall ~ sex.fVm * RouteOrder.1V2, data = BySubsData)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-0.35860 -0.17537 -0.04322  0.12993  0.55376 \n",
       "\n",
       "Coefficients:\n",
       "                        Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)             0.430283   0.033830  12.719   <2e-16 ***\n",
       "sex.fVm                -0.005462   0.067660  -0.081    0.936    \n",
       "RouteOrder.1V2         -0.030255   0.067660  -0.447    0.656    \n",
       "sex.fVm:RouteOrder.1V2  0.007726   0.135319   0.057    0.955    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.2408 on 61 degrees of freedom\n",
       "Multiple R-squared:  0.004204,\tAdjusted R-squared:  -0.04477 \n",
       "F-statistic: 0.08585 on 3 and 61 DF,  p-value: 0.9675\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "########################################\n",
    "##### Model Building LMEMs #############\n",
    "########################################\n",
    "\n",
    "BySubsData <- within(BySubsData, {\n",
    "  \n",
    "  # Factor 1: sex\n",
    "  sex.fVm <- ifelse( sex==\"1\", 1/2, #female\n",
    "                     ifelse( sex==\"2\", -1/2, NA ) ) #male\n",
    "  \n",
    "  # Factor 2: RouteOrder\n",
    "  RouteOrder.1V2 <- ifelse( Route_Order==\"1\", 1/2, \n",
    "                            ifelse( Route_Order==\"2\", -1/2, NA ) ) \n",
    "  \n",
    "} )\n",
    "\n",
    "Rsquared_Overall.model = lm(r2_Overall ~ sex.fVm*RouteOrder.1V2, data = BySubsData)\n",
    "summary(Rsquared_Overall.model) # this is reported in the manuscript"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "17a72312",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = r2_RouteA ~ sex.fVm * RouteOrder.1V2, data = BySubsData)\n",
       "\n",
       "Residuals:\n",
       "     Min       1Q   Median       3Q      Max \n",
       "-0.51815 -0.18714  0.03283  0.22531  0.47706 \n",
       "\n",
       "Coefficients:\n",
       "                       Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)             0.53731    0.03887  13.823   <2e-16 ***\n",
       "sex.fVm                 0.02827    0.07774   0.364    0.717    \n",
       "RouteOrder.1V2          0.07955    0.07774   1.023    0.310    \n",
       "sex.fVm:RouteOrder.1V2 -0.03914    0.15548  -0.252    0.802    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.2767 on 61 degrees of freedom\n",
       "Multiple R-squared:  0.02356,\tAdjusted R-squared:  -0.02446 \n",
       "F-statistic: 0.4906 on 3 and 61 DF,  p-value: 0.6901\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For a system with landmarks from Route A only\n",
    "Rsquared_RouteA.model1 = lm(r2_RouteA ~ sex.fVm*RouteOrder.1V2, data = BySubsData)\n",
    "summary(Rsquared_RouteA.model1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "c865d1bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "lm(formula = r2_RouteB ~ sex.fVm * RouteOrder.1V2, data = BySubsData)\n",
       "\n",
       "Residuals:\n",
       "    Min      1Q  Median      3Q     Max \n",
       "-0.6454 -0.2537  0.0677  0.2713  0.4562 \n",
       "\n",
       "Coefficients:\n",
       "                       Estimate Std. Error t value Pr(>|t|)    \n",
       "(Intercept)             0.60537    0.04420  13.697   <2e-16 ***\n",
       "sex.fVm                -0.13147    0.08840  -1.487    0.142    \n",
       "RouteOrder.1V2         -0.02501    0.08840  -0.283    0.778    \n",
       "sex.fVm:RouteOrder.1V2 -0.10628    0.17679  -0.601    0.550    \n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "Residual standard error: 0.3146 on 61 degrees of freedom\n",
       "Multiple R-squared:  0.04961,\tAdjusted R-squared:  0.00287 \n",
       "F-statistic: 1.061 on 3 and 61 DF,  p-value: 0.3722\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For a system with landmarks from Route B only\n",
    "Rsquared_RouteB.model1 = lm(r2_RouteB ~ sex.fVm*RouteOrder.1V2, data = BySubsData)\n",
    "summary(Rsquared_RouteB.model1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "25dc4231",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A matrix: 13 × 13 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>SBSOD_CY_average</th><th scope=col>r2_Overall</th><th scope=col>r2_RouteA</th><th scope=col>r2_RouteB</th><th scope=col>abs_error</th><th scope=col>Abserror_Same</th><th scope=col>Abserror_Diff</th><th scope=col>error_start_routeA_SAME</th><th scope=col>error_start_routeB_SAME</th><th scope=col>error_start_RouteA_Different</th><th scope=col>error_target_RouteA_Different</th><th scope=col>error_start_RouteB_Different</th><th scope=col>error_target_RouteB_Different</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>SBSOD_CY_average</th><td> 1.000</td><td>-0.027</td><td> 0.071</td><td> 0.163</td><td>-0.054</td><td>-0.110</td><td> 0.004</td><td>-0.081</td><td>-0.109</td><td>-0.101</td><td> 0.011</td><td>-0.014</td><td>-0.124</td></tr>\n",
       "\t<tr><th scope=row>r2_Overall</th><td>-0.027</td><td> 1.000</td><td>-0.051</td><td> 0.085</td><td>-0.125</td><td>-0.085</td><td>-0.116</td><td>-0.006</td><td>-0.120</td><td> 0.011</td><td>-0.135</td><td>-0.177</td><td>-0.074</td></tr>\n",
       "\t<tr><th scope=row>r2_RouteA</th><td> 0.071</td><td>-0.051</td><td> 1.000</td><td> 0.183</td><td>-0.389</td><td>-0.388</td><td>-0.272</td><td>-0.320</td><td>-0.362</td><td>-0.378</td><td>-0.298</td><td>-0.340</td><td>-0.419</td></tr>\n",
       "\t<tr><th scope=row>r2_RouteB</th><td> 0.163</td><td> 0.085</td><td> 0.183</td><td> 1.000</td><td>-0.404</td><td>-0.465</td><td>-0.237</td><td>-0.333</td><td>-0.466</td><td>-0.301</td><td>-0.313</td><td>-0.405</td><td>-0.422</td></tr>\n",
       "\t<tr><th scope=row>abs_error</th><td>-0.054</td><td>-0.125</td><td>-0.389</td><td>-0.404</td><td> 1.000</td><td> 0.758</td><td> 0.876</td><td> 0.674</td><td> 0.665</td><td> 0.821</td><td> 0.916</td><td> 0.944</td><td> 0.835</td></tr>\n",
       "\t<tr><th scope=row>Abserror_Same</th><td>-0.110</td><td>-0.085</td><td>-0.388</td><td>-0.465</td><td> 0.758</td><td> 1.000</td><td> 0.349</td><td> 0.835</td><td> 0.919</td><td> 0.699</td><td> 0.548</td><td> 0.671</td><td> 0.834</td></tr>\n",
       "\t<tr><th scope=row>Abserror_Diff</th><td> 0.004</td><td>-0.116</td><td>-0.272</td><td>-0.237</td><td> 0.876</td><td> 0.349</td><td> 1.000</td><td> 0.350</td><td> 0.276</td><td> 0.663</td><td> 0.911</td><td> 0.859</td><td> 0.583</td></tr>\n",
       "\t<tr><th scope=row>error_start_routeA_SAME</th><td>-0.081</td><td>-0.006</td><td>-0.320</td><td>-0.333</td><td> 0.674</td><td> 0.835</td><td> 0.350</td><td> 1.000</td><td> 0.555</td><td> 0.797</td><td> 0.606</td><td> 0.494</td><td> 0.569</td></tr>\n",
       "\t<tr><th scope=row>error_start_routeB_SAME</th><td>-0.109</td><td>-0.120</td><td>-0.362</td><td>-0.466</td><td> 0.665</td><td> 0.919</td><td> 0.276</td><td> 0.555</td><td> 1.000</td><td> 0.485</td><td> 0.399</td><td> 0.666</td><td> 0.853</td></tr>\n",
       "\t<tr><th scope=row>error_start_RouteA_Different</th><td>-0.101</td><td> 0.011</td><td>-0.378</td><td>-0.301</td><td> 0.821</td><td> 0.699</td><td> 0.663</td><td> 0.797</td><td> 0.485</td><td> 1.000</td><td> 0.667</td><td> 0.588</td><td> 0.793</td></tr>\n",
       "\t<tr><th scope=row>error_target_RouteA_Different</th><td> 0.011</td><td>-0.135</td><td>-0.298</td><td>-0.313</td><td> 0.916</td><td> 0.548</td><td> 0.911</td><td> 0.606</td><td> 0.399</td><td> 0.667</td><td> 1.000</td><td> 0.913</td><td> 0.546</td></tr>\n",
       "\t<tr><th scope=row>error_start_RouteB_Different</th><td>-0.014</td><td>-0.177</td><td>-0.340</td><td>-0.405</td><td> 0.944</td><td> 0.671</td><td> 0.859</td><td> 0.494</td><td> 0.666</td><td> 0.588</td><td> 0.913</td><td> 1.000</td><td> 0.729</td></tr>\n",
       "\t<tr><th scope=row>error_target_RouteB_Different</th><td>-0.124</td><td>-0.074</td><td>-0.419</td><td>-0.422</td><td> 0.835</td><td> 0.834</td><td> 0.583</td><td> 0.569</td><td> 0.853</td><td> 0.793</td><td> 0.546</td><td> 0.729</td><td> 1.000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 13 × 13 of type dbl\n",
       "\\begin{tabular}{r|lllllllllllll}\n",
       "  & SBSOD\\_CY\\_average & r2\\_Overall & r2\\_RouteA & r2\\_RouteB & abs\\_error & Abserror\\_Same & Abserror\\_Diff & error\\_start\\_routeA\\_SAME & error\\_start\\_routeB\\_SAME & error\\_start\\_RouteA\\_Different & error\\_target\\_RouteA\\_Different & error\\_start\\_RouteB\\_Different & error\\_target\\_RouteB\\_Different\\\\\n",
       "\\hline\n",
       "\tSBSOD\\_CY\\_average &  1.000 & -0.027 &  0.071 &  0.163 & -0.054 & -0.110 &  0.004 & -0.081 & -0.109 & -0.101 &  0.011 & -0.014 & -0.124\\\\\n",
       "\tr2\\_Overall & -0.027 &  1.000 & -0.051 &  0.085 & -0.125 & -0.085 & -0.116 & -0.006 & -0.120 &  0.011 & -0.135 & -0.177 & -0.074\\\\\n",
       "\tr2\\_RouteA &  0.071 & -0.051 &  1.000 &  0.183 & -0.389 & -0.388 & -0.272 & -0.320 & -0.362 & -0.378 & -0.298 & -0.340 & -0.419\\\\\n",
       "\tr2\\_RouteB &  0.163 &  0.085 &  0.183 &  1.000 & -0.404 & -0.465 & -0.237 & -0.333 & -0.466 & -0.301 & -0.313 & -0.405 & -0.422\\\\\n",
       "\tabs\\_error & -0.054 & -0.125 & -0.389 & -0.404 &  1.000 &  0.758 &  0.876 &  0.674 &  0.665 &  0.821 &  0.916 &  0.944 &  0.835\\\\\n",
       "\tAbserror\\_Same & -0.110 & -0.085 & -0.388 & -0.465 &  0.758 &  1.000 &  0.349 &  0.835 &  0.919 &  0.699 &  0.548 &  0.671 &  0.834\\\\\n",
       "\tAbserror\\_Diff &  0.004 & -0.116 & -0.272 & -0.237 &  0.876 &  0.349 &  1.000 &  0.350 &  0.276 &  0.663 &  0.911 &  0.859 &  0.583\\\\\n",
       "\terror\\_start\\_routeA\\_SAME & -0.081 & -0.006 & -0.320 & -0.333 &  0.674 &  0.835 &  0.350 &  1.000 &  0.555 &  0.797 &  0.606 &  0.494 &  0.569\\\\\n",
       "\terror\\_start\\_routeB\\_SAME & -0.109 & -0.120 & -0.362 & -0.466 &  0.665 &  0.919 &  0.276 &  0.555 &  1.000 &  0.485 &  0.399 &  0.666 &  0.853\\\\\n",
       "\terror\\_start\\_RouteA\\_Different & -0.101 &  0.011 & -0.378 & -0.301 &  0.821 &  0.699 &  0.663 &  0.797 &  0.485 &  1.000 &  0.667 &  0.588 &  0.793\\\\\n",
       "\terror\\_target\\_RouteA\\_Different &  0.011 & -0.135 & -0.298 & -0.313 &  0.916 &  0.548 &  0.911 &  0.606 &  0.399 &  0.667 &  1.000 &  0.913 &  0.546\\\\\n",
       "\terror\\_start\\_RouteB\\_Different & -0.014 & -0.177 & -0.340 & -0.405 &  0.944 &  0.671 &  0.859 &  0.494 &  0.666 &  0.588 &  0.913 &  1.000 &  0.729\\\\\n",
       "\terror\\_target\\_RouteB\\_Different & -0.124 & -0.074 & -0.419 & -0.422 &  0.835 &  0.834 &  0.583 &  0.569 &  0.853 &  0.793 &  0.546 &  0.729 &  1.000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 13 × 13 of type dbl\n",
       "\n",
       "| <!--/--> | SBSOD_CY_average | r2_Overall | r2_RouteA | r2_RouteB | abs_error | Abserror_Same | Abserror_Diff | error_start_routeA_SAME | error_start_routeB_SAME | error_start_RouteA_Different | error_target_RouteA_Different | error_start_RouteB_Different | error_target_RouteB_Different |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| SBSOD_CY_average |  1.000 | -0.027 |  0.071 |  0.163 | -0.054 | -0.110 |  0.004 | -0.081 | -0.109 | -0.101 |  0.011 | -0.014 | -0.124 |\n",
       "| r2_Overall | -0.027 |  1.000 | -0.051 |  0.085 | -0.125 | -0.085 | -0.116 | -0.006 | -0.120 |  0.011 | -0.135 | -0.177 | -0.074 |\n",
       "| r2_RouteA |  0.071 | -0.051 |  1.000 |  0.183 | -0.389 | -0.388 | -0.272 | -0.320 | -0.362 | -0.378 | -0.298 | -0.340 | -0.419 |\n",
       "| r2_RouteB |  0.163 |  0.085 |  0.183 |  1.000 | -0.404 | -0.465 | -0.237 | -0.333 | -0.466 | -0.301 | -0.313 | -0.405 | -0.422 |\n",
       "| abs_error | -0.054 | -0.125 | -0.389 | -0.404 |  1.000 |  0.758 |  0.876 |  0.674 |  0.665 |  0.821 |  0.916 |  0.944 |  0.835 |\n",
       "| Abserror_Same | -0.110 | -0.085 | -0.388 | -0.465 |  0.758 |  1.000 |  0.349 |  0.835 |  0.919 |  0.699 |  0.548 |  0.671 |  0.834 |\n",
       "| Abserror_Diff |  0.004 | -0.116 | -0.272 | -0.237 |  0.876 |  0.349 |  1.000 |  0.350 |  0.276 |  0.663 |  0.911 |  0.859 |  0.583 |\n",
       "| error_start_routeA_SAME | -0.081 | -0.006 | -0.320 | -0.333 |  0.674 |  0.835 |  0.350 |  1.000 |  0.555 |  0.797 |  0.606 |  0.494 |  0.569 |\n",
       "| error_start_routeB_SAME | -0.109 | -0.120 | -0.362 | -0.466 |  0.665 |  0.919 |  0.276 |  0.555 |  1.000 |  0.485 |  0.399 |  0.666 |  0.853 |\n",
       "| error_start_RouteA_Different | -0.101 |  0.011 | -0.378 | -0.301 |  0.821 |  0.699 |  0.663 |  0.797 |  0.485 |  1.000 |  0.667 |  0.588 |  0.793 |\n",
       "| error_target_RouteA_Different |  0.011 | -0.135 | -0.298 | -0.313 |  0.916 |  0.548 |  0.911 |  0.606 |  0.399 |  0.667 |  1.000 |  0.913 |  0.546 |\n",
       "| error_start_RouteB_Different | -0.014 | -0.177 | -0.340 | -0.405 |  0.944 |  0.671 |  0.859 |  0.494 |  0.666 |  0.588 |  0.913 |  1.000 |  0.729 |\n",
       "| error_target_RouteB_Different | -0.124 | -0.074 | -0.419 | -0.422 |  0.835 |  0.834 |  0.583 |  0.569 |  0.853 |  0.793 |  0.546 |  0.729 |  1.000 |\n",
       "\n"
      ],
      "text/plain": [
       "                              SBSOD_CY_average r2_Overall r2_RouteA r2_RouteB\n",
       "SBSOD_CY_average               1.000           -0.027      0.071     0.163   \n",
       "r2_Overall                    -0.027            1.000     -0.051     0.085   \n",
       "r2_RouteA                      0.071           -0.051      1.000     0.183   \n",
       "r2_RouteB                      0.163            0.085      0.183     1.000   \n",
       "abs_error                     -0.054           -0.125     -0.389    -0.404   \n",
       "Abserror_Same                 -0.110           -0.085     -0.388    -0.465   \n",
       "Abserror_Diff                  0.004           -0.116     -0.272    -0.237   \n",
       "error_start_routeA_SAME       -0.081           -0.006     -0.320    -0.333   \n",
       "error_start_routeB_SAME       -0.109           -0.120     -0.362    -0.466   \n",
       "error_start_RouteA_Different  -0.101            0.011     -0.378    -0.301   \n",
       "error_target_RouteA_Different  0.011           -0.135     -0.298    -0.313   \n",
       "error_start_RouteB_Different  -0.014           -0.177     -0.340    -0.405   \n",
       "error_target_RouteB_Different -0.124           -0.074     -0.419    -0.422   \n",
       "                              abs_error Abserror_Same Abserror_Diff\n",
       "SBSOD_CY_average              -0.054    -0.110         0.004       \n",
       "r2_Overall                    -0.125    -0.085        -0.116       \n",
       "r2_RouteA                     -0.389    -0.388        -0.272       \n",
       "r2_RouteB                     -0.404    -0.465        -0.237       \n",
       "abs_error                      1.000     0.758         0.876       \n",
       "Abserror_Same                  0.758     1.000         0.349       \n",
       "Abserror_Diff                  0.876     0.349         1.000       \n",
       "error_start_routeA_SAME        0.674     0.835         0.350       \n",
       "error_start_routeB_SAME        0.665     0.919         0.276       \n",
       "error_start_RouteA_Different   0.821     0.699         0.663       \n",
       "error_target_RouteA_Different  0.916     0.548         0.911       \n",
       "error_start_RouteB_Different   0.944     0.671         0.859       \n",
       "error_target_RouteB_Different  0.835     0.834         0.583       \n",
       "                              error_start_routeA_SAME error_start_routeB_SAME\n",
       "SBSOD_CY_average              -0.081                  -0.109                 \n",
       "r2_Overall                    -0.006                  -0.120                 \n",
       "r2_RouteA                     -0.320                  -0.362                 \n",
       "r2_RouteB                     -0.333                  -0.466                 \n",
       "abs_error                      0.674                   0.665                 \n",
       "Abserror_Same                  0.835                   0.919                 \n",
       "Abserror_Diff                  0.350                   0.276                 \n",
       "error_start_routeA_SAME        1.000                   0.555                 \n",
       "error_start_routeB_SAME        0.555                   1.000                 \n",
       "error_start_RouteA_Different   0.797                   0.485                 \n",
       "error_target_RouteA_Different  0.606                   0.399                 \n",
       "error_start_RouteB_Different   0.494                   0.666                 \n",
       "error_target_RouteB_Different  0.569                   0.853                 \n",
       "                              error_start_RouteA_Different\n",
       "SBSOD_CY_average              -0.101                      \n",
       "r2_Overall                     0.011                      \n",
       "r2_RouteA                     -0.378                      \n",
       "r2_RouteB                     -0.301                      \n",
       "abs_error                      0.821                      \n",
       "Abserror_Same                  0.699                      \n",
       "Abserror_Diff                  0.663                      \n",
       "error_start_routeA_SAME        0.797                      \n",
       "error_start_routeB_SAME        0.485                      \n",
       "error_start_RouteA_Different   1.000                      \n",
       "error_target_RouteA_Different  0.667                      \n",
       "error_start_RouteB_Different   0.588                      \n",
       "error_target_RouteB_Different  0.793                      \n",
       "                              error_target_RouteA_Different\n",
       "SBSOD_CY_average               0.011                       \n",
       "r2_Overall                    -0.135                       \n",
       "r2_RouteA                     -0.298                       \n",
       "r2_RouteB                     -0.313                       \n",
       "abs_error                      0.916                       \n",
       "Abserror_Same                  0.548                       \n",
       "Abserror_Diff                  0.911                       \n",
       "error_start_routeA_SAME        0.606                       \n",
       "error_start_routeB_SAME        0.399                       \n",
       "error_start_RouteA_Different   0.667                       \n",
       "error_target_RouteA_Different  1.000                       \n",
       "error_start_RouteB_Different   0.913                       \n",
       "error_target_RouteB_Different  0.546                       \n",
       "                              error_start_RouteB_Different\n",
       "SBSOD_CY_average              -0.014                      \n",
       "r2_Overall                    -0.177                      \n",
       "r2_RouteA                     -0.340                      \n",
       "r2_RouteB                     -0.405                      \n",
       "abs_error                      0.944                      \n",
       "Abserror_Same                  0.671                      \n",
       "Abserror_Diff                  0.859                      \n",
       "error_start_routeA_SAME        0.494                      \n",
       "error_start_routeB_SAME        0.666                      \n",
       "error_start_RouteA_Different   0.588                      \n",
       "error_target_RouteA_Different  0.913                      \n",
       "error_start_RouteB_Different   1.000                      \n",
       "error_target_RouteB_Different  0.729                      \n",
       "                              error_target_RouteB_Different\n",
       "SBSOD_CY_average              -0.124                       \n",
       "r2_Overall                    -0.074                       \n",
       "r2_RouteA                     -0.419                       \n",
       "r2_RouteB                     -0.422                       \n",
       "abs_error                      0.835                       \n",
       "Abserror_Same                  0.834                       \n",
       "Abserror_Diff                  0.583                       \n",
       "error_start_routeA_SAME        0.569                       \n",
       "error_start_routeB_SAME        0.853                       \n",
       "error_start_RouteA_Different   0.793                       \n",
       "error_target_RouteA_Different  0.546                       \n",
       "error_start_RouteB_Different   0.729                       \n",
       "error_target_RouteB_Different  1.000                       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#######################################################\n",
    "#### Correlations with Individual ability #############\n",
    "#######################################################\n",
    "\n",
    "#This grabs SBSOD. I think this is what we should use.\n",
    "#BySubsData_DVs <- BySubsData[, c(4, 8:13, 39:40, 43:46)]\n",
    "\n",
    "#This grabs SBSOD-CY\n",
    "BySubsData_DVs <- BySubsData[, c(5, 8:13, 39:40, 43:46)]\n",
    "\n",
    "bivariateCors <- cor(BySubsData_DVs, use = \"all.obs\", method = \"pearson\" )\n",
    "round(bivariateCors, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "3c8832b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "                              SBSOD_CY_average r2_Overall r2_RouteA r2_RouteB\n",
       "SBSOD_CY_average                          1.00      -0.03      0.07      0.16\n",
       "r2_Overall                               -0.03       1.00     -0.05      0.08\n",
       "r2_RouteA                                 0.07      -0.05      1.00      0.18\n",
       "r2_RouteB                                 0.16       0.08      0.18      1.00\n",
       "abs_error                                -0.05      -0.12     -0.39     -0.40\n",
       "Abserror_Same                            -0.11      -0.09     -0.39     -0.46\n",
       "Abserror_Diff                             0.00      -0.12     -0.27     -0.24\n",
       "error_start_routeA_SAME                  -0.08      -0.01     -0.32     -0.33\n",
       "error_start_routeB_SAME                  -0.11      -0.12     -0.36     -0.47\n",
       "error_start_RouteA_Different             -0.10       0.01     -0.38     -0.30\n",
       "error_target_RouteA_Different             0.01      -0.14     -0.30     -0.31\n",
       "error_start_RouteB_Different             -0.01      -0.18     -0.34     -0.40\n",
       "error_target_RouteB_Different            -0.12      -0.07     -0.42     -0.42\n",
       "                              abs_error Abserror_Same Abserror_Diff\n",
       "SBSOD_CY_average                  -0.05         -0.11          0.00\n",
       "r2_Overall                        -0.12         -0.09         -0.12\n",
       "r2_RouteA                         -0.39         -0.39         -0.27\n",
       "r2_RouteB                         -0.40         -0.46         -0.24\n",
       "abs_error                          1.00          0.76          0.88\n",
       "Abserror_Same                      0.76          1.00          0.35\n",
       "Abserror_Diff                      0.88          0.35          1.00\n",
       "error_start_routeA_SAME            0.67          0.84          0.35\n",
       "error_start_routeB_SAME            0.67          0.92          0.28\n",
       "error_start_RouteA_Different       0.82          0.70          0.66\n",
       "error_target_RouteA_Different      0.92          0.55          0.91\n",
       "error_start_RouteB_Different       0.94          0.67          0.86\n",
       "error_target_RouteB_Different      0.83          0.83          0.58\n",
       "                              error_start_routeA_SAME error_start_routeB_SAME\n",
       "SBSOD_CY_average                                -0.08                   -0.11\n",
       "r2_Overall                                      -0.01                   -0.12\n",
       "r2_RouteA                                       -0.32                   -0.36\n",
       "r2_RouteB                                       -0.33                   -0.47\n",
       "abs_error                                        0.67                    0.67\n",
       "Abserror_Same                                    0.84                    0.92\n",
       "Abserror_Diff                                    0.35                    0.28\n",
       "error_start_routeA_SAME                          1.00                    0.55\n",
       "error_start_routeB_SAME                          0.55                    1.00\n",
       "error_start_RouteA_Different                     0.80                    0.48\n",
       "error_target_RouteA_Different                    0.61                    0.40\n",
       "error_start_RouteB_Different                     0.49                    0.67\n",
       "error_target_RouteB_Different                    0.57                    0.85\n",
       "                              error_start_RouteA_Different\n",
       "SBSOD_CY_average                                     -0.10\n",
       "r2_Overall                                            0.01\n",
       "r2_RouteA                                            -0.38\n",
       "r2_RouteB                                            -0.30\n",
       "abs_error                                             0.82\n",
       "Abserror_Same                                         0.70\n",
       "Abserror_Diff                                         0.66\n",
       "error_start_routeA_SAME                               0.80\n",
       "error_start_routeB_SAME                               0.48\n",
       "error_start_RouteA_Different                          1.00\n",
       "error_target_RouteA_Different                         0.67\n",
       "error_start_RouteB_Different                          0.59\n",
       "error_target_RouteB_Different                         0.79\n",
       "                              error_target_RouteA_Different\n",
       "SBSOD_CY_average                                       0.01\n",
       "r2_Overall                                            -0.14\n",
       "r2_RouteA                                             -0.30\n",
       "r2_RouteB                                             -0.31\n",
       "abs_error                                              0.92\n",
       "Abserror_Same                                          0.55\n",
       "Abserror_Diff                                          0.91\n",
       "error_start_routeA_SAME                                0.61\n",
       "error_start_routeB_SAME                                0.40\n",
       "error_start_RouteA_Different                           0.67\n",
       "error_target_RouteA_Different                          1.00\n",
       "error_start_RouteB_Different                           0.91\n",
       "error_target_RouteB_Different                          0.55\n",
       "                              error_start_RouteB_Different\n",
       "SBSOD_CY_average                                     -0.01\n",
       "r2_Overall                                           -0.18\n",
       "r2_RouteA                                            -0.34\n",
       "r2_RouteB                                            -0.40\n",
       "abs_error                                             0.94\n",
       "Abserror_Same                                         0.67\n",
       "Abserror_Diff                                         0.86\n",
       "error_start_routeA_SAME                               0.49\n",
       "error_start_routeB_SAME                               0.67\n",
       "error_start_RouteA_Different                          0.59\n",
       "error_target_RouteA_Different                         0.91\n",
       "error_start_RouteB_Different                          1.00\n",
       "error_target_RouteB_Different                         0.73\n",
       "                              error_target_RouteB_Different\n",
       "SBSOD_CY_average                                      -0.12\n",
       "r2_Overall                                            -0.07\n",
       "r2_RouteA                                             -0.42\n",
       "r2_RouteB                                             -0.42\n",
       "abs_error                                              0.83\n",
       "Abserror_Same                                          0.83\n",
       "Abserror_Diff                                          0.58\n",
       "error_start_routeA_SAME                                0.57\n",
       "error_start_routeB_SAME                                0.85\n",
       "error_start_RouteA_Different                           0.79\n",
       "error_target_RouteA_Different                          0.55\n",
       "error_start_RouteB_Different                           0.73\n",
       "error_target_RouteB_Different                          1.00\n",
       "\n",
       "n= 65 \n",
       "\n",
       "\n",
       "P\n",
       "                              SBSOD_CY_average r2_Overall r2_RouteA r2_RouteB\n",
       "SBSOD_CY_average                               0.8316     0.5758    0.1952   \n",
       "r2_Overall                    0.8316                      0.6867    0.5021   \n",
       "r2_RouteA                     0.5758           0.6867               0.1446   \n",
       "r2_RouteB                     0.1952           0.5021     0.1446             \n",
       "abs_error                     0.6690           0.3221     0.0014    0.0008   \n",
       "Abserror_Same                 0.3830           0.5005     0.0014    0.0000   \n",
       "Abserror_Diff                 0.9765           0.3562     0.0286    0.0572   \n",
       "error_start_routeA_SAME       0.5216           0.9632     0.0094    0.0068   \n",
       "error_start_routeB_SAME       0.3896           0.3400     0.0031    0.0000   \n",
       "error_start_RouteA_Different  0.4244           0.9280     0.0019    0.0148   \n",
       "error_target_RouteA_Different 0.9286           0.2827     0.0161    0.0112   \n",
       "error_start_RouteB_Different  0.9136           0.1591     0.0056    0.0008   \n",
       "error_target_RouteB_Different 0.3253           0.5564     0.0005    0.0005   \n",
       "                              abs_error Abserror_Same Abserror_Diff\n",
       "SBSOD_CY_average              0.6690    0.3830        0.9765       \n",
       "r2_Overall                    0.3221    0.5005        0.3562       \n",
       "r2_RouteA                     0.0014    0.0014        0.0286       \n",
       "r2_RouteB                     0.0008    0.0000        0.0572       \n",
       "abs_error                               0.0000        0.0000       \n",
       "Abserror_Same                 0.0000                  0.0044       \n",
       "Abserror_Diff                 0.0000    0.0044                     \n",
       "error_start_routeA_SAME       0.0000    0.0000        0.0042       \n",
       "error_start_routeB_SAME       0.0000    0.0000        0.0262       \n",
       "error_start_RouteA_Different  0.0000    0.0000        0.0000       \n",
       "error_target_RouteA_Different 0.0000    0.0000        0.0000       \n",
       "error_start_RouteB_Different  0.0000    0.0000        0.0000       \n",
       "error_target_RouteB_Different 0.0000    0.0000        0.0000       \n",
       "                              error_start_routeA_SAME error_start_routeB_SAME\n",
       "SBSOD_CY_average              0.5216                  0.3896                 \n",
       "r2_Overall                    0.9632                  0.3400                 \n",
       "r2_RouteA                     0.0094                  0.0031                 \n",
       "r2_RouteB                     0.0068                  0.0000                 \n",
       "abs_error                     0.0000                  0.0000                 \n",
       "Abserror_Same                 0.0000                  0.0000                 \n",
       "Abserror_Diff                 0.0042                  0.0262                 \n",
       "error_start_routeA_SAME                               0.0000                 \n",
       "error_start_routeB_SAME       0.0000                                         \n",
       "error_start_RouteA_Different  0.0000                  0.0000                 \n",
       "error_target_RouteA_Different 0.0000                  0.0010                 \n",
       "error_start_RouteB_Different  0.0000                  0.0000                 \n",
       "error_target_RouteB_Different 0.0000                  0.0000                 \n",
       "                              error_start_RouteA_Different\n",
       "SBSOD_CY_average              0.4244                      \n",
       "r2_Overall                    0.9280                      \n",
       "r2_RouteA                     0.0019                      \n",
       "r2_RouteB                     0.0148                      \n",
       "abs_error                     0.0000                      \n",
       "Abserror_Same                 0.0000                      \n",
       "Abserror_Diff                 0.0000                      \n",
       "error_start_routeA_SAME       0.0000                      \n",
       "error_start_routeB_SAME       0.0000                      \n",
       "error_start_RouteA_Different                              \n",
       "error_target_RouteA_Different 0.0000                      \n",
       "error_start_RouteB_Different  0.0000                      \n",
       "error_target_RouteB_Different 0.0000                      \n",
       "                              error_target_RouteA_Different\n",
       "SBSOD_CY_average              0.9286                       \n",
       "r2_Overall                    0.2827                       \n",
       "r2_RouteA                     0.0161                       \n",
       "r2_RouteB                     0.0112                       \n",
       "abs_error                     0.0000                       \n",
       "Abserror_Same                 0.0000                       \n",
       "Abserror_Diff                 0.0000                       \n",
       "error_start_routeA_SAME       0.0000                       \n",
       "error_start_routeB_SAME       0.0010                       \n",
       "error_start_RouteA_Different  0.0000                       \n",
       "error_target_RouteA_Different                              \n",
       "error_start_RouteB_Different  0.0000                       \n",
       "error_target_RouteB_Different 0.0000                       \n",
       "                              error_start_RouteB_Different\n",
       "SBSOD_CY_average              0.9136                      \n",
       "r2_Overall                    0.1591                      \n",
       "r2_RouteA                     0.0056                      \n",
       "r2_RouteB                     0.0008                      \n",
       "abs_error                     0.0000                      \n",
       "Abserror_Same                 0.0000                      \n",
       "Abserror_Diff                 0.0000                      \n",
       "error_start_routeA_SAME       0.0000                      \n",
       "error_start_routeB_SAME       0.0000                      \n",
       "error_start_RouteA_Different  0.0000                      \n",
       "error_target_RouteA_Different 0.0000                      \n",
       "error_start_RouteB_Different                              \n",
       "error_target_RouteB_Different 0.0000                      \n",
       "                              error_target_RouteB_Different\n",
       "SBSOD_CY_average              0.3253                       \n",
       "r2_Overall                    0.5564                       \n",
       "r2_RouteA                     0.0005                       \n",
       "r2_RouteB                     0.0005                       \n",
       "abs_error                     0.0000                       \n",
       "Abserror_Same                 0.0000                       \n",
       "Abserror_Diff                 0.0000                       \n",
       "error_start_routeA_SAME       0.0000                       \n",
       "error_start_routeB_SAME       0.0000                       \n",
       "error_start_RouteA_Different  0.0000                       \n",
       "error_target_RouteA_Different 0.0000                       \n",
       "error_start_RouteB_Different  0.0000                       \n",
       "error_target_RouteB_Different                              "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Using rcorr function from package Hmisc for p-values\n",
    "bivariateCors <- rcorr(as.matrix(BySubsData_DVs))\n",
    "bivariateCors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "75cb8592",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  sex     mean        sd        se\n",
      "1   1 4.300000 0.9521905 0.1403928\n",
      "2   2 4.878947 0.8462853 0.1941512\n"
     ]
    }
   ],
   "source": [
    "###################################################\n",
    "#### Comparison of SBSOD-CY by Gender #############\n",
    "###################################################\n",
    "summtSBSODCY = dplyr::summarize(group_by(BySubsData,sex),\n",
    "                              mean=mean(SBSOD_CY_average, na.rm = TRUE), sd= sd(SBSOD_CY_average, na.rm = TRUE), \n",
    "                              se=sd(SBSOD_CY_average, na.rm = TRUE)/sqrt(length(SBSOD_CY_average)))\n",
    "\n",
    "print.data.frame(summtSBSODCY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "5bdf8b96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "\tF test to compare two variances\n",
       "\n",
       "data:  SBSOD_CY_average by sex\n",
       "F = 1.2659, num df = 45, denom df = 18, p-value = 0.599\n",
       "alternative hypothesis: true ratio of variances is not equal to 1\n",
       "95 percent confidence interval:\n",
       " 0.5356109 2.6149226\n",
       "sample estimates:\n",
       "ratio of variances \n",
       "          1.265943 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\tTwo Sample t-test\n",
       "\n",
       "data:  SBSOD_CY_average by sex\n",
       "t = -2.2996, df = 63, p-value = 0.0248\n",
       "alternative hypothesis: true difference in means is not equal to 0\n",
       "95 percent confidence interval:\n",
       " -1.08204616 -0.07584858\n",
       "sample estimates:\n",
       "mean in group 1 mean in group 2 \n",
       "       4.300000        4.878947 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check equality of variance\n",
    "var.test(SBSOD_CY_average ~ sex, data = BySubsData)\n",
    "\n",
    "t.test(SBSOD_CY_average ~ sex, data = BySubsData, var.equal = TRUE)"
   ]
  }
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