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<!DOCTYPE html>
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<section id="simulating-likert-type-questionnaire-data-with-r" class="level1">
<h1>Simulating Likert-type questionnaire data with R</h1>
<p><img src="images/likert.png" align="left" width="200"></p>
<p>I have been working on multiple projects that involved analysing questionnaires with “Likert scales”, i.e. ordinal variables or pseudo-continuous variables obtained by summing all the ordinal items. Before engaging into the experiments proper, we should conduct robust power analyses, code testing, sanity checks, etc. to ensure that the data collection and analysis will be as smooth as possible. In several complex settings such as multivariate analyses or multilevel modelling, simulation can be a powerful tool to do these tasks by allowing to test intricate computations on synthetic data.</p>
<blockquote class="blockquote">
<p>I found out (<em>after the deed, of course</em>) that several packages already existed that could have eased my work. The closest to what I coded here is the <a href="https://github.com/WinzarH/LikertMakeR"><code>LikertMakeR</code></a> package, which is really comprehensive. Also check out <a href="https://github.com/markolalovic/latent2likert"><code>latent2likert</code></a> for a more item-based simulation approach. Note: this is not a standalone package because I don’t think the functions add a signficant improvement over those from the packages above, but I like the straightforward solutions I came up with, which is why I document them here. <em>(I still added them to <a href="https://github.com/m-delem/delemr/">my (secret 👀) personal package</a> though, to access them quickly without copy-pasting)</em></p>
</blockquote>
<div class="sourceCode" id="cb1"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="fu">source</span>(<span class="st">"scripts/simulate_questionnaires.R"</span>)</span>
<span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a><span class="fu">source</span>(<span class="st">"scripts/plot_questionnaires.R"</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<section id="score-based-approach" class="level2">
<h2 class="anchored" data-anchor-id="score-based-approach">Score-based approach</h2>
<p>My initial problem was to find a way to simulate a fixed number of bounded ordinal variables (questionnaire items) that sum to a given score. I wanted to be able to simulate the score distributions of a whole population on a multi-item questionnaire based on literature or assumptions, <strong><em>then</em></strong> simulate individual items making up the scale (which is the reverse process of more “item-based” approaches like <a href="https://github.com/markolalovic/latent2likert"><code>latent2likert</code></a>). This resulted in the <code>simulate_items</code> function<a href="#fn1" class="footnote-ref" id="fnref1" role="doc-noteref"><sup>1</sup></a>: given a score, a number of items, a minimum and a maximum value, it returns a vector of simulated items.</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Subject with a score of 32 on a 12-item questionnaire ranging from 1 to 5</span></span>
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a><span class="fu">simulate_items</span>(<span class="at">score =</span> <span class="dv">32</span>, <span class="at">n_items =</span> <span class="dv">12</span>, <span class="at">min =</span> <span class="dv">1</span>, <span class="at">max =</span> <span class="dv">5</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<pre><code> [1] 1 4 2 2 3 2 3 3 2 1 4 5</code></pre>
<div class="sourceCode" id="cb4"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Subject with a score of 45 on a 8-item questionnaire ranging from 1 to 7</span></span>
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a><span class="fu">simulate_items</span>(<span class="at">score =</span> <span class="dv">45</span>, <span class="at">n_items =</span> <span class="dv">8</span>, <span class="at">min =</span> <span class="dv">1</span>, <span class="at">max =</span> <span class="dv">7</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<pre><code>[1] 7 7 2 4 6 6 7 6</code></pre>
<p>It can be mapped on a distribution to simulate the items for a whole sample of subjects.</p>
<div class="sourceCode" id="cb6"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a>n_subjects <span class="ot"><-</span> <span class="dv">1000</span></span>
<span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a><span class="co"># Normal distribution of scores</span></span>
<span id="cb6-4"><a href="#cb6-4" aria-hidden="true" tabindex="-1"></a>df <span class="ot"><-</span> </span>
<span id="cb6-5"><a href="#cb6-5" aria-hidden="true" tabindex="-1"></a> <span class="fu">tibble</span>(</span>
<span id="cb6-6"><a href="#cb6-6" aria-hidden="true" tabindex="-1"></a> <span class="at">subject =</span> <span class="dv">1</span><span class="sc">:</span>n_subjects,</span>
<span id="cb6-7"><a href="#cb6-7" aria-hidden="true" tabindex="-1"></a> <span class="at">score =</span> <span class="fu">rnorm</span>(n_subjects, <span class="at">mean =</span> <span class="dv">32</span>, <span class="at">sd =</span> <span class="dv">5</span>) <span class="sc">|></span> <span class="fu">round</span>()</span>
<span id="cb6-8"><a href="#cb6-8" aria-hidden="true" tabindex="-1"></a> ) <span class="sc">|></span></span>
<span id="cb6-9"><a href="#cb6-9" aria-hidden="true" tabindex="-1"></a> <span class="fu">rowwise</span>() <span class="sc">|></span> </span>
<span id="cb6-10"><a href="#cb6-10" aria-hidden="true" tabindex="-1"></a> <span class="fu">mutate</span>(<span class="at">item =</span> <span class="fu">list</span>(<span class="fu">simulate_items</span>(score, <span class="dv">12</span>, <span class="dv">1</span>, <span class="dv">5</span>))) <span class="sc">|></span> </span>
<span id="cb6-11"><a href="#cb6-11" aria-hidden="true" tabindex="-1"></a> <span class="fu">unnest_wider</span>(item, <span class="at">names_sep =</span> <span class="st">"_"</span>)</span>
<span id="cb6-12"><a href="#cb6-12" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb6-13"><a href="#cb6-13" aria-hidden="true" tabindex="-1"></a>df <span class="sc">|></span> <span class="fu">head</span>() <span class="sc">|></span> <span class="fu">display</span>()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<table class="caption-top table">
<colgroup>
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
<col style="width: 7%">
</colgroup>
<thead>
<tr class="header">
<th style="text-align: left;">subject</th>
<th style="text-align: right;">score</th>
<th style="text-align: right;">item_1</th>
<th style="text-align: right;">item_2</th>
<th style="text-align: right;">item_3</th>
<th style="text-align: right;">item_4</th>
<th style="text-align: right;">item_5</th>
<th style="text-align: right;">item_6</th>
<th style="text-align: right;">item_7</th>
<th style="text-align: right;">item_8</th>
<th style="text-align: right;">item_9</th>
<th style="text-align: right;">item_10</th>
<th style="text-align: right;">item_11</th>
<th style="text-align: right;">item_12</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td style="text-align: left;">1</td>
<td style="text-align: right;">35</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
</tr>
<tr class="even">
<td style="text-align: left;">2</td>
<td style="text-align: right;">40</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
</tr>
<tr class="odd">
<td style="text-align: left;">3</td>
<td style="text-align: right;">28</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
</tr>
<tr class="even">
<td style="text-align: left;">4</td>
<td style="text-align: right;">31</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
</tr>
<tr class="odd">
<td style="text-align: left;">5</td>
<td style="text-align: right;">32</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
</tr>
<tr class="even">
<td style="text-align: left;">6</td>
<td style="text-align: right;">33</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
</tr>
</tbody>
</table>
<!-- It shows methods to: -->
<!-- - Simulate score distributions from various types of information (e.g., quantile percentages, means, sd, skewness). -->
<!-- - Simulate different distributions for sub-scales or sub-groups in the sample. -->
<!-- - Correlate sub-scales with different types of distributions. -->
<!-- - Simulate individual ordinal items from the total scores of each subject. -->
<p>The simulation script (<code>scripts/simulate_questionnaires.R</code>) is heavily commented to explain the rationale behind the code and the choices made. The script is also designed to be easily adaptable to other questionnaires. <code>scripts/plot_questionnaires.R</code> contains two functions associated with the questionnaires to provide convenient plotting methods.</p>
</section>
<section id="vviq-and-osivq" class="level2">
<h2 class="anchored" data-anchor-id="vviq-and-osivq">VVIQ and OSIVQ</h2>
<p>This repository also contains code to simulate data from two mental imagery questionnaires I used often: the <a href="https://bpspsychub.onlinelibrary.wiley.com/doi/10.1111/j.2044-8295.1973.tb01322.x">Vividness of Visual Imagery Questionnaire (VVIQ)</a> and the <a href="https://onlinelibrary.wiley.com/doi/10.1002/acp.1473">Object-Spatial Imagery and Verbal Questionnaire</a>.</p>
<p><code>simulate_vviq</code> creates a data frame with a given number of subjects, simulating VVIQ scores and means for four groups defined in aphantasia literature (aphantasia, hypophantasia, typical imagery and hyperphantasia, see <a href="https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2024.1454107/full">Wright et al., 2024</a>). It can optionally simulate individual responses for all of the 16 items of the VVIQ for each subject (all responses of course summing to the simulated score).</p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a>df_vviq <span class="ot"><-</span> <span class="fu">simulate_vviq</span>(<span class="at">n_subjects =</span> <span class="dv">1000</span>, <span class="at">add_items =</span> <span class="cn">TRUE</span>)</span>
<span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a>df_vviq <span class="sc">|></span> </span>
<span id="cb7-4"><a href="#cb7-4" aria-hidden="true" tabindex="-1"></a> <span class="fu">group_by</span>(group) <span class="sc">|></span> </span>
<span id="cb7-5"><a href="#cb7-5" aria-hidden="true" tabindex="-1"></a> <span class="fu">slice</span>(<span class="dv">1</span>) <span class="sc">|></span> </span>
<span id="cb7-6"><a href="#cb7-6" aria-hidden="true" tabindex="-1"></a> <span class="fu">display</span>()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<table class="caption-top table">
<colgroup>
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
<col style="width: 4%">
</colgroup>
<thead>
<tr class="header">
<th style="text-align: left;">subject</th>
<th style="text-align: right;">group</th>
<th style="text-align: right;">score_vviq</th>
<th style="text-align: right;">mean_vviq</th>
<th style="text-align: right;">vviq_item_1</th>
<th style="text-align: right;">vviq_item_2</th>
<th style="text-align: right;">vviq_item_3</th>
<th style="text-align: right;">vviq_item_4</th>
<th style="text-align: right;">vviq_item_5</th>
<th style="text-align: right;">vviq_item_6</th>
<th style="text-align: right;">vviq_item_7</th>
<th style="text-align: right;">vviq_item_8</th>
<th style="text-align: right;">vviq_item_9</th>
<th style="text-align: right;">vviq_item_10</th>
<th style="text-align: right;">vviq_item_11</th>
<th style="text-align: right;">vviq_item_12</th>
<th style="text-align: right;">vviq_item_13</th>
<th style="text-align: right;">vviq_item_14</th>
<th style="text-align: right;">vviq_item_15</th>
<th style="text-align: right;">vviq_item_16</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td style="text-align: left;">130</td>
<td style="text-align: right;">aph</td>
<td style="text-align: right;">16</td>
<td style="text-align: right;">1.00</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
</tr>
<tr class="even">
<td style="text-align: left;">9</td>
<td style="text-align: right;">hypo</td>
<td style="text-align: right;">24</td>
<td style="text-align: right;">1.50</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
</tr>
<tr class="odd">
<td style="text-align: left;">1</td>
<td style="text-align: right;">typical</td>
<td style="text-align: right;">56</td>
<td style="text-align: right;">3.50</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
</tr>
<tr class="even">
<td style="text-align: left;">5</td>
<td style="text-align: right;">hyper</td>
<td style="text-align: right;">78</td>
<td style="text-align: right;">4.88</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
</tr>
</tbody>
</table>
<p><code>simulate_osivq</code> does the same for the OSIVQ, which comprises three sub-scales: Object, Spatial and Verbal. There are no conventional thresholds to define groups for this questionnaire.</p>
<div class="sourceCode" id="cb8"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" aria-hidden="true" tabindex="-1"></a>df_osivq <span class="ot"><-</span> <span class="fu">simulate_osivq</span>(<span class="at">n_subjects =</span> <span class="dv">1000</span>, <span class="at">add_items =</span> <span class="cn">TRUE</span>)</span>
<span id="cb8-2"><a href="#cb8-2" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb8-3"><a href="#cb8-3" aria-hidden="true" tabindex="-1"></a>df_osivq <span class="sc">|></span> </span>
<span id="cb8-4"><a href="#cb8-4" aria-hidden="true" tabindex="-1"></a> <span class="fu">head</span>() <span class="sc">|></span> </span>
<span id="cb8-5"><a href="#cb8-5" aria-hidden="true" tabindex="-1"></a> <span class="fu">display</span>()</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<table class="caption-top table">
<colgroup>
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
<col style="width: 1%">
</colgroup>
<thead>
<tr class="header">
<th style="text-align: left;">mean_object</th>
<th style="text-align: right;">mean_spatial</th>
<th style="text-align: right;">mean_verbal</th>
<th style="text-align: right;">score_object</th>
<th style="text-align: right;">score_spatial</th>
<th style="text-align: right;">score_verbal</th>
<th style="text-align: right;">osivq_item_o_1</th>
<th style="text-align: right;">osivq_item_o_2</th>
<th style="text-align: right;">osivq_item_o_3</th>
<th style="text-align: right;">osivq_item_o_4</th>
<th style="text-align: right;">osivq_item_o_5</th>
<th style="text-align: right;">osivq_item_o_6</th>
<th style="text-align: right;">osivq_item_o_7</th>
<th style="text-align: right;">osivq_item_o_8</th>
<th style="text-align: right;">osivq_item_o_9</th>
<th style="text-align: right;">osivq_item_o_10</th>
<th style="text-align: right;">osivq_item_o_11</th>
<th style="text-align: right;">osivq_item_o_12</th>
<th style="text-align: right;">osivq_item_o_13</th>
<th style="text-align: right;">osivq_item_o_14</th>
<th style="text-align: right;">osivq_item_o_15</th>
<th style="text-align: right;">osivq_item_s_1</th>
<th style="text-align: right;">osivq_item_s_2</th>
<th style="text-align: right;">osivq_item_s_3</th>
<th style="text-align: right;">osivq_item_s_4</th>
<th style="text-align: right;">osivq_item_s_5</th>
<th style="text-align: right;">osivq_item_s_6</th>
<th style="text-align: right;">osivq_item_s_7</th>
<th style="text-align: right;">osivq_item_s_8</th>
<th style="text-align: right;">osivq_item_s_9</th>
<th style="text-align: right;">osivq_item_s_10</th>
<th style="text-align: right;">osivq_item_s_11</th>
<th style="text-align: right;">osivq_item_s_12</th>
<th style="text-align: right;">osivq_item_s_13</th>
<th style="text-align: right;">osivq_item_s_14</th>
<th style="text-align: right;">osivq_item_s_15</th>
<th style="text-align: right;">osivq_item_v_1</th>
<th style="text-align: right;">osivq_item_v_2</th>
<th style="text-align: right;">osivq_item_v_3</th>
<th style="text-align: right;">osivq_item_v_4</th>
<th style="text-align: right;">osivq_item_v_5</th>
<th style="text-align: right;">osivq_item_v_6</th>
<th style="text-align: right;">osivq_item_v_7</th>
<th style="text-align: right;">osivq_item_v_8</th>
<th style="text-align: right;">osivq_item_v_9</th>
<th style="text-align: right;">osivq_item_v_10</th>
<th style="text-align: right;">osivq_item_v_11</th>
<th style="text-align: right;">osivq_item_v_12</th>
<th style="text-align: right;">osivq_item_v_13</th>
<th style="text-align: right;">osivq_item_v_14</th>
<th style="text-align: right;">osivq_item_v_15</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td style="text-align: left;">3.50</td>
<td style="text-align: right;">3.15</td>
<td style="text-align: right;">2.00</td>
<td style="text-align: right;">52</td>
<td style="text-align: right;">47</td>
<td style="text-align: right;">30</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
</tr>
<tr class="even">
<td style="text-align: left;">2.56</td>
<td style="text-align: right;">2.40</td>
<td style="text-align: right;">2.87</td>
<td style="text-align: right;">38</td>
<td style="text-align: right;">35</td>
<td style="text-align: right;">43</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
</tr>
<tr class="odd">
<td style="text-align: left;">3.59</td>
<td style="text-align: right;">1.90</td>
<td style="text-align: right;">2.93</td>
<td style="text-align: right;">53</td>
<td style="text-align: right;">28</td>
<td style="text-align: right;">43</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
</tr>
<tr class="even">
<td style="text-align: left;">2.90</td>
<td style="text-align: right;">4.38</td>
<td style="text-align: right;">2.64</td>
<td style="text-align: right;">43</td>
<td style="text-align: right;">65</td>
<td style="text-align: right;">39</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
</tr>
<tr class="odd">
<td style="text-align: left;">3.37</td>
<td style="text-align: right;">2.34</td>
<td style="text-align: right;">3.13</td>
<td style="text-align: right;">50</td>
<td style="text-align: right;">35</td>
<td style="text-align: right;">46</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
</tr>
<tr class="even">
<td style="text-align: left;">3.67</td>
<td style="text-align: right;">2.05</td>
<td style="text-align: right;">3.23</td>
<td style="text-align: right;">54</td>
<td style="text-align: right;">30</td>
<td style="text-align: right;">48</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">1</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">2</td>
<td style="text-align: right;">5</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">3</td>
<td style="text-align: right;">4</td>
<td style="text-align: right;">2</td>
</tr>
</tbody>
</table>
<p>Two plotting functions, <code>plot_vviq</code> and <code>plot_osivq</code>, are provided to plot the distributions of the scores and means of the VVIQ and OSIVQ, respectively. They can be called with the argument <code>print = TRUE</code> to display the plot directly in the console. In any case, they return a ggplot object that can be further customized.</p>
<div class="sourceCode" id="cb9"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a>vviq_scores <span class="ot"><-</span> df_vviq <span class="sc">|></span> <span class="fu">plot_vviq</span>(<span class="at">var =</span> <span class="st">"score"</span>, <span class="at">print =</span> <span class="cn">FALSE</span>)</span>
<span id="cb9-2"><a href="#cb9-2" aria-hidden="true" tabindex="-1"></a>vviq_means <span class="ot"><-</span> df_vviq <span class="sc">|></span> <span class="fu">plot_vviq</span>(<span class="at">var =</span> <span class="st">"mean"</span>, <span class="at">print =</span> <span class="cn">FALSE</span>) <span class="sc">+</span> </span>
<span id="cb9-3"><a href="#cb9-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">labs</span>(<span class="at">title =</span> <span class="cn">NULL</span>, <span class="at">y =</span> <span class="cn">NULL</span>)</span>
<span id="cb9-4"><a href="#cb9-4" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb9-5"><a href="#cb9-5" aria-hidden="true" tabindex="-1"></a>osivq_scores <span class="ot"><-</span> df_osivq <span class="sc">|></span> <span class="fu">plot_osivq</span>(<span class="at">var =</span> <span class="st">"score"</span>, <span class="at">print =</span> <span class="cn">FALSE</span>)</span>
<span id="cb9-6"><a href="#cb9-6" aria-hidden="true" tabindex="-1"></a>osivq_means <span class="ot"><-</span> df_osivq <span class="sc">|></span> <span class="fu">plot_osivq</span>(<span class="at">var =</span> <span class="st">"mean"</span>, <span class="at">print =</span> <span class="cn">FALSE</span>) <span class="sc">+</span> </span>
<span id="cb9-7"><a href="#cb9-7" aria-hidden="true" tabindex="-1"></a> <span class="fu">labs</span>(<span class="at">title =</span> <span class="cn">NULL</span>, <span class="at">y =</span> <span class="cn">NULL</span>)</span>
<span id="cb9-8"><a href="#cb9-8" aria-hidden="true" tabindex="-1"></a></span>
<span id="cb9-9"><a href="#cb9-9" aria-hidden="true" tabindex="-1"></a><span class="co"># Laying out the four plots with the `patchwork` package</span></span>
<span id="cb9-10"><a href="#cb9-10" aria-hidden="true" tabindex="-1"></a>(vviq_scores <span class="sc">+</span> vviq_means) <span class="sc">/</span> (osivq_scores <span class="sc">+</span> osivq_means) <span class="sc">+</span> </span>
<span id="cb9-11"><a href="#cb9-11" aria-hidden="true" tabindex="-1"></a> <span class="fu">plot_layout</span>(<span class="at">guides =</span> <span class="st">"collect"</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
<p><img src="README_files/figure-commonmark/plot_vviq-1.png" class="img-fluid"></p>
<p>I believe the structures presented in these scripts could be useful to anyone who needs to simulate Likert-type questionnaire data. The scripts are designed to be easily adaptable to other questionnaires and can be used as templates to build your own simulation scripts. I hope they will be useful to you! :cherry_blossom:</p>
<blockquote class="blockquote">
<p>Note: this repository is a Quarto project endowed with a <code>renv</code> R environment to ensure the stability of the packages used. The repository is based on <a href="https://github.com/m-delem/my-quarto-template">this Quarto project template</a>: you can find a quick tutorial to use this project structure and an in-depth explanation of its elements in the README of the template.</p>
</blockquote>
</section>
</section>
<div id="quarto-appendix" class="default"><section id="footnotes" class="footnotes footnotes-end-of-document" role="doc-endnotes"><h2 class="anchored quarto-appendix-heading">Footnotes</h2>
<ol>
<li id="fn1"><p>The function is close in purpose to the <code>makeItemsScale</code> from the <code>LikertMakeR</code> package.<a href="#fnref1" class="footnote-back" role="doc-backlink">↩︎</a></p></li>
</ol>
</section></div></main>
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