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08_stats_sims.html

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<div class="sourceCode cell-code" 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="fu">runif</span>(<span class="at">n =</span> <span class="dv">20</span>, <span class="at">min =</span> <span class="sc">-</span><span class="dv">3</span>, <span class="at">max =</span> <span class="dv">3</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
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<pre><code> [1] -1.4023252 1.1713736 -0.3510838 -0.4621909 -0.2668631 0.4928465
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[7] -2.8308813 -0.2056643 -0.7226243 2.6448364 -1.2225818 -1.0329885
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[13] -0.4080092 0.1749129 1.8892714 1.6986870 -0.5277233 -0.4039598
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[19] 2.5416048 -1.5447973</code></pre>
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<pre><code> [1] -1.8224563 -1.3146149 1.9659519 1.0809883 -0.3324500 2.4444181
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[7] 0.6173892 1.2136997 0.9325744 1.5912007 -1.7716852 -0.9085152
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[13] 1.7604598 0.7482107 -1.3742738 -0.5138874 1.8668961 -2.8049887
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[19] 2.9986384 1.1611108</code></pre>
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<p>When we draw a million times from the distribution, we can then plot it and see that it does look as we would expect:</p>

Methods-Camp.pdf

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index.html

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<li>Optimization</li>
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<li>Integrals</li>
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</ul>
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<p><strong>5 Wednesday morning: <a href="05_matrices.html">Matrices</a></strong></p>
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<ul>
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<li>Matrices</li>
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<li>Systems of linear equations</li>
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<li>Matrix operations (multiplication, transpose, inverse, determinant)</li>
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<li>Solving systems of linear equations in matrix form (and why that’s cool)</li>
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<li>Introduction to OLS</li>
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</ul>
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<p><strong>6 Wednesday afternoon: <a href="06_tidy_data2.html">Tidy data analysis II</a></strong></p>
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<p><strong>5 Wednesday morning: <a href="06_tidy_data2.html">Tidy data analysis II</a></strong></p>
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<ul>
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<li>Loading data in different formats (.csv, R, Excel, Stata, SPSS)</li>
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<li>Recoding values (<code>if_else()</code>, <code>case_when()</code>)</li>
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<li>Merging data</li>
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<li>Plotting extensions (trend graphs, facets, customization)</li>
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</ul>
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<p><strong>7 Thursday morning: <a href="07_probability.html">Probability</a></strong></p>
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<p><strong>6 Wednesday afternoon: <a href="07_probability.html">Probability</a></strong></p>
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<ul>
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<li>Probability: basic concepts</li>
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<li>Random variables, probability distributions, and their properties</li>
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<li>Common probability distributions</li>
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</ul>
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<p><strong>8 Thursday afternoon: <a href="08_stats_sims.html">Statistics and simulations</a></strong></p>
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<p><strong>7 Thursday morning: <a href="08_stats_sims.html">Statistics and simulations</a></strong></p>
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<ul>
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<li>Statistics: basic concepts</li>
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<li>Random sampling and loops in R</li>
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<li>Simulation example: bootstrapping</li>
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</ul>
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<p><strong>8 Thursday afternoon: <a href="05_matrices.html">Matrices</a></strong></p>
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<ul>
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<li>Matrices</li>
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<li>Systems of linear equations</li>
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<li>Matrix operations (multiplication, transpose, inverse, determinant)</li>
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<li>Solving systems of linear equations in matrix form (and why that’s cool)</li>
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<li>Introduction to OLS</li>
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</ul>
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<p><strong>9 Thursday afternoon: Wrap-up</strong></p>
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<li>Project management fundamentals</li>
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</section>
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<section id="acknowledgements" class="level2 unnumbered">
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<h2 class="unnumbered anchored" data-anchor-id="acknowledgements">Acknowledgements</h2>
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<p>We thank previous Methods Camp instructors for their accumulated experience and materials, upon which we have based ours upon. UT Gov Prof.&nbsp;Max Goplerud gave us amazing feedback for this iteration of Methods Camp (2025). All errors remain our own (and will hopefully be fixed with your help!).</p>
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<p>We thank previous Methods Camp instructors for their accumulated experience and materials, upon which we have based ours. UT Gov Prof.&nbsp;Max Goplerud gave us amazing feedback for this iteration of Methods Camp (2025). All errors remain our own (and will hopefully be fixed with your help!).</p>
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</section>
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<section id="materials-from-previous-editions" class="level2 unnumbered">
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<h2 class="unnumbered anchored" data-anchor-id="materials-from-previous-editions">Materials from previous editions</h2>

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