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Update Jamovi references and finish the chapter on two-way ANOVA
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<meta name="author" content="Brad Duthie" />
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<pre><code>3.1, 3.5, 3.8, 4.0, 4.2, 4.2, 4.6, 5.0</code></pre>
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<p>There are at least 9 different ways to calculate the first quartile in this case, and different statistical software package will sometimes use different default methods <span class="citation">(<a href="#ref-Hyndman1996" role="doc-biblioref">Hyndman and Fan 1996</a>)</span>.
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One logical way is to calculate the mean between the second (3.5) and third (3.8) position as you would do for the median <span class="citation">(<a href="#ref-Rowntree2018" role="doc-biblioref">Rowntree 2018</a>)</span>, <span class="math inline">\((3.5 + 3.8) / 2 = 3.65\)</span>.
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Jamovi uses a slightly more complex method, which will give a value of <span class="math inline">\(3.725\)</span>.</p>
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Jamovi uses a slightly more complex method, which will give a value of <span class="math inline">\(3.725\)</span> <span class="citation">(<a href="#ref-Jamovi2022" role="doc-biblioref">The Jamovi Project 2022</a>)</span>.</p>
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<p>It is important to emphasise that no one way of calculating quantiles is the one and only correct way.
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Statisticians have just proposed different approaches to calculating quantiles from data, and these different approaches sometimes give slightly different results.
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This can be unsatisfying when first learning statistics because it would be nice to have a single approach that is demonstrably correct, i.e., the <em>right</em> answer under all circumstances.
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<div id="ref-Sokal1995" class="csl-entry">
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Sokal, Robert R, and F James Rohlf. 1995. <em><span>Biometry</span></em>. 3rd ed. New York: W. H. Freeman; Company.
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</div>
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<div id="ref-Jamovi2022" class="csl-entry">
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The Jamovi Project. 2022. <span>“Jamovi.”</span> Sydney, Australia. <a href="https://www.jamovi.org">https://www.jamovi.org</a>.
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</div>
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</div>
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<div class="footnotes">
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<hr />

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