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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>stroop</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<style type="text/css">
/*!
*
* Twitter Bootstrap
*
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<h2 id="P1:-Test-a-Perceptual-Phenomenon">P1: Test a Perceptual Phenomenon<a class="anchor-link" href="#P1:-Test-a-Perceptual-Phenomenon">¶</a></h2><h3 id="Background-Information">Background Information<a class="anchor-link" href="#Background-Information">¶</a></h3><p>In a Stroop task, participants are presented with a list of words, with each word displayed in a color of ink. The participant’s task is to say out loud the color of the ink in which the word is printed. The task has two conditions: a congruent words condition, and an incongruent words condition. In the congruent words condition, the words being displayed are color words whose names match the colors in which they are printed: for example RED, BLUE. In the incongruent words condition, the words displayed are color words whose names do not match the colors in which they are printed: for example PURPLE, ORANGE. In each case, we measure the time it takes to name the ink colors in equally-sized lists. Each participant will go through and record a time from each condition.</p>
<p>Stroop task applet: <a href="https://www.google.com/url?q=https%3A%2F%2Ffaculty.washington.edu%2Fchudler%2Fjava%2Fready.html&sa=D&sntz=1&usg=AFQjCNGc_1cOHZy4iwBhM93xXvCImuQ1sQ">applet</a></p>
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<h4 id="1.-What-is-our-independent-variable?-What-is-our-dependent-variable?">1. What is our independent variable? What is our dependent variable?<a class="anchor-link" href="#1.-What-is-our-independent-variable?-What-is-our-dependent-variable?">¶</a></h4><p>Independent variable: task condition (a congruent/incongruent words condition)</p>
<p>Dependent variable: reaction time of the task (measured with the time it takes to name the ink colors in equally-sized lists).</p>
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<h4 id="2.-What-is-an-appropriate-set-of-hypotheses-for-this-task?-What-kind-of-statistical-test-do-you-expect-to-perform?-Justify-your-choices.">2. What is an appropriate set of hypotheses for this task? What kind of statistical test do you expect to perform? Justify your choices.<a class="anchor-link" href="#2.-What-is-an-appropriate-set-of-hypotheses-for-this-task?-What-kind-of-statistical-test-do-you-expect-to-perform?-Justify-your-choices.">¶</a></h4><p>Let us have:<br>
population = any person that can perform the Stroop task (can read the list of words and recognize ink colors). The task definition does not put any extra constraints on the population.<br>
$\mu_c$ = mean reaction time of entire population on the congruent condition test<br>
$\mu_i$ = mean reaction time of the same entire population on the incogruent condition test</p>
<p>Test hypothesis:<br>
<strong>H0</strong>: Task condition does not effect reaction time. Mean reaction time of the entire population is the same on both congruent and incogruent test.<br>
$\mu_c = \mu_i$</p>
<p><strong>HA</strong>: Task condition effects the reaction time. Congruent test has either significantly lower or significantly higher mean reaction time than the incogruent test.<br>
$\mu_c < \mu_i$ or $\mu_c > \mu_i$</p>
<p>We have results of two experiments performed on the same sample. This is a scenario for dependent t-test for paired samples.<br>
We don't try to guess/decide if the congruent test or incogruent test will perform better, thus we'll use 2-tailed t-test.</p>
<p>Alternatively, we could use <em>intererence</em> as dependent variable. Interference would be defined as reaction time on incongruent words condition minus reaction time on congruent words condition. In such case:<br>
<strong>H0</strong>: Task is not interfered by the condition. Mean interference of the entire population = 0.<br>
<strong>HA</strong>: Task is interfered by the condition. Mean population interference is either < 0 or intererence > 0.<br>
We should also use 2-tailed t-test for this scenario (dependent samples).</p>
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<h4 id="3.-Report-some-descriptive-statistics-regarding-this-dataset.-Include-at-least-one-measure-of-central-tendency-and-at-least-one-measure-of-variability.">3. Report some descriptive statistics regarding this dataset. Include at least one measure of central tendency and at least one measure of variability.<a class="anchor-link" href="#3.-Report-some-descriptive-statistics-regarding-this-dataset.-Include-at-least-one-measure-of-central-tendency-and-at-least-one-measure-of-variability.">¶</a></h4>
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<div class=" highlight hl-ipython2"><pre><span class="kn">import</span> <span class="nn">pandas</span> <span class="kn">as</span> <span class="nn">pd</span>
<span class="n">path</span> <span class="o">=</span> <span class="s">r'./stroopdata.csv'</span>
<span class="n">df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">read_csv</span><span class="p">(</span><span class="n">path</span><span class="p">)</span>
<span class="n">df</span><span class="p">[</span><span class="s">'Interference'</span><span class="p">]</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s">'Incongruent'</span><span class="p">]</span> <span class="o">-</span> <span class="n">df</span><span class="p">[</span><span class="s">'Congruent'</span><span class="p">]</span>
<span class="n">df</span>
<span class="k">print</span> <span class="n">df</span><span class="p">[</span><span class="s">'Interference'</span><span class="p">]</span>
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<pre>0 7.199
1 1.950
2 11.650
3 7.057
4 8.134
5 8.640
6 9.880
7 8.407
8 11.361
9 11.802
10 2.196
11 3.346
12 2.437
13 3.401
14 17.055
15 10.028
16 6.644
17 9.790
18 6.081
19 21.919
20 10.950
21 3.727
22 2.348
23 5.153
Name: Interference, dtype: float64
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<div class=" highlight hl-ipython2"><pre><span class="k">print</span> <span class="s">'Congruent test:'</span>
<span class="n">c_mean</span><span class="p">,</span> <span class="n">c_std</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s">'Congruent'</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span> <span class="n">df</span><span class="p">[</span><span class="s">'Congruent'</span><span class="p">]</span><span class="o">.</span><span class="n">std</span><span class="p">()</span>
<span class="k">print</span> <span class="s">'</span><span class="se">\t</span><span class="s">mean = {0}'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">c_mean</span><span class="p">)</span>
<span class="k">print</span> <span class="s">'</span><span class="se">\t</span><span class="s">std = {0}'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">c_std</span><span class="p">)</span>
<span class="k">print</span>
<span class="k">print</span> <span class="s">'Incongruent test:'</span>
<span class="n">i_mean</span><span class="p">,</span> <span class="n">i_std</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s">'Incongruent'</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span> <span class="n">df</span><span class="p">[</span><span class="s">'Incongruent'</span><span class="p">]</span><span class="o">.</span><span class="n">std</span><span class="p">()</span>
<span class="k">print</span> <span class="s">'</span><span class="se">\t</span><span class="s">mean = {0}'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">i_mean</span><span class="p">)</span>
<span class="k">print</span> <span class="s">'</span><span class="se">\t</span><span class="s">std = {0}'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">i_std</span><span class="p">)</span>
<span class="k">print</span>
<span class="k">print</span> <span class="s">'Interference (diff):'</span>
<span class="n">d_mean</span><span class="p">,</span> <span class="n">d_std</span> <span class="o">=</span> <span class="n">df</span><span class="p">[</span><span class="s">'Interference'</span><span class="p">]</span><span class="o">.</span><span class="n">mean</span><span class="p">(),</span> <span class="n">df</span><span class="p">[</span><span class="s">'Interference'</span><span class="p">]</span><span class="o">.</span><span class="n">std</span><span class="p">()</span>
<span class="k">print</span> <span class="s">'</span><span class="se">\t</span><span class="s">mean = {0}'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">d_mean</span><span class="p">)</span>
<span class="k">print</span> <span class="s">'</span><span class="se">\t</span><span class="s">std = {0}'</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">d_std</span><span class="p">)</span>
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<pre>Congruent test:
mean = 14.051125
std = 3.55935795765
Incongruent test:
mean = 22.0159166667
std = 4.79705712247
Interference (diff):
mean = 7.96479166667
std = 4.86482691036
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<h4 id="4.-Provide-one-or-two-visualizations-that-show-the-distribution-of-the-sample-data.-Write-one-or-two-sentences-noting-what-you-observe-about-the-plot-or-plots.">4. Provide one or two visualizations that show the distribution of the sample data. Write one or two sentences noting what you observe about the plot or plots.<a class="anchor-link" href="#4.-Provide-one-or-two-visualizations-that-show-the-distribution-of-the-sample-data.-Write-one-or-two-sentences-noting-what-you-observe-about-the-plot-or-plots.">¶</a></h4>
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<div class=" highlight hl-ipython2"><pre><span class="c"># Causes plots to display within the notebook rather than in a new window</span>
<span class="o">%</span><span class="k">pylab</span> inline
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span>
<span class="n">matplotlib</span><span class="o">.</span><span class="n">style</span><span class="o">.</span><span class="n">use</span><span class="p">(</span><span class="s">'ggplot'</span><span class="p">)</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">8</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">([</span><span class="n">df</span><span class="p">[</span><span class="s">'Congruent'</span><span class="p">],</span> <span class="n">df</span><span class="p">[</span><span class="s">'Incongruent'</span><span class="p">]],</span> <span class="n">bins</span> <span class="o">=</span> <span class="mi">15</span><span class="p">,</span> <span class="n">label</span> <span class="o">=</span> <span class="p">[</span><span class="s">'congruent'</span><span class="p">,</span> <span class="s">'incongruent'</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s">'Plot #1: Reaction time for congruent and incogruent tests'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s">'reaction time (s)'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s">'# of samples'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">([</span><span class="s">'Congruent'</span><span class="p">,</span> <span class="s">'Incongruent'</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
<span class="n">s</span> <span class="o">=</span> <span class="p">[</span><span class="n">x</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="nb">xrange</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">df</span><span class="p">[</span><span class="s">'Congruent'</span><span class="p">]))]</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">8</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">([</span><span class="n">x</span> <span class="o">+</span> <span class="mf">0.1</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">s</span><span class="p">],</span> <span class="n">df</span><span class="p">[</span><span class="s">'Congruent'</span><span class="p">],</span> <span class="n">width</span><span class="o">=</span><span class="mf">0.4</span><span class="p">,</span> <span class="n">color</span><span class="o">=</span><span class="s">'r'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">bar</span><span class="p">([</span><span class="n">x</span> <span class="o">+</span> <span class="mf">0.5</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">s</span><span class="p">],</span> <span class="n">df</span><span class="p">[</span><span class="s">'Incongruent'</span><span class="p">],</span> <span class="n">width</span><span class="o">=</span><span class="mf">0.4</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s">'Plot #2: Reaction time for congruent and incogruent for each participant'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s">'Participants'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s">'Reaction time (s)'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">legend</span><span class="p">([</span><span class="s">'Congruent'</span><span class="p">,</span> <span class="s">'Incongruent'</span><span class="p">])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
<span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">(</span><span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">8</span><span class="p">))</span>
<span class="n">plt</span><span class="o">.</span><span class="n">hist</span><span class="p">(</span><span class="n">df</span><span class="p">[</span><span class="s">'Interference'</span><span class="p">],</span> <span class="n">bins</span> <span class="o">=</span> <span class="mi">12</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s">'Plot #3: Increase in reaction time on incongruent test'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s">'reaction time increase == interference (s)'</span><span class="p">)</span>
<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s">'# of samples'</span><span class="p">)</span>
<span class="c">#plt.legend(['Interference'])</span>
<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
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<pre>Populating the interactive namespace from numpy and matplotlib
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