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<!DOCTYPE html>
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<title>Create Datasets with Identical Summary Statistics • anscombiser</title>
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<script src="pkgdown.js"></script><meta property="og:title" content="Create Datasets with Identical Summary Statistics">
<meta property="og:description" content="Anscombes quartet are a set of four two-variable datasets that
have several common summary statistics but which have very different joint
distributions. This becomes apparent when the data are plotted, which
illustrates the importance of using graphical displays in Statistics. This
package enables the creation of datasets that have identical marginal sample
means and sample variances, sample correlation, least squares regression
coefficients and coefficient of determination. The user supplies an initial
dataset, which is shifted, scaled and rotated in order to achieve target
summary statistics. The general shape of the initial dataset is retained.
The target statistics can be supplied directly or calculated based on a
user-supplied dataset. The datasauRus' package
<https://cran.r-project.org/package=datasauRus> provides further examples
of datasets that have markedly different scatter plots but share many
sample summary statistics.">
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<div class="page-header"><h1 id="anscombiser">anscombiser<a class="anchor" aria-label="anchor" href="#anscombiser"></a>
</h1></div>
<div class="section level3">
<h3 id="what-does-anscombiser-do">What does anscombiser do?<a class="anchor" aria-label="anchor" href="#what-does-anscombiser-do"></a>
</h3>
<p>Anscombe’s quartet are a set of four two-variable datasets that have several common summary statistics (essentially means, variances and correlation) but which have very different joint distributions. This becomes apparent when the data are plotted, which illustrates the importance of using graphical displays in Statistics. The <code>anscombiser</code> package provides a quick and easy way to create several datasets that have common values for Anscombe’s summary statistics but display very different behaviour when plotted. It does this by transforming (shifting, scaling and rotating) the dataset to achieve target summary statistics.</p>
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<div class="section level3">
<h3 id="an-example">An example<a class="anchor" aria-label="anchor" href="#an-example"></a>
</h3>
<p>The <code><a href="reference/mimic.html">mimic()</a></code> function transforms an input dataset (<code>dino</code> below left) so that it has the same values of Anscombe’s summary statistics as another dataset (<code>trump</code> below right).</p>
<div class="sourceCode" id="cb1"><pre class="downlit sourceCode r">
<code class="sourceCode R"><span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://paulnorthrop.github.io/anscombiser/" class="external-link">anscombiser</a></span><span class="op">)</span></span>
<span><span class="kw"><a href="https://rdrr.io/r/base/library.html" class="external-link">library</a></span><span class="op">(</span><span class="va"><a href="https://github.com/jumpingrivers/datasauRus" class="external-link">datasauRus</a></span><span class="op">)</span></span>
<span><span class="va">dino</span> <span class="op"><-</span> <span class="va">datasaurus_dozen_wide</span><span class="op">[</span>, <span class="fu"><a href="https://rdrr.io/r/base/c.html" class="external-link">c</a></span><span class="op">(</span><span class="st">"dino_x"</span>, <span class="st">"dino_y"</span><span class="op">)</span><span class="op">]</span></span>
<span><span class="va">new_dino</span> <span class="op"><-</span> <span class="fu"><a href="reference/mimic.html">mimic</a></span><span class="op">(</span><span class="va">dino</span>, <span class="va">trump</span><span class="op">)</span></span>
<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">new_dino</span>, legend_args <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>x <span class="op">=</span> <span class="st">"topright"</span><span class="op">)</span><span class="op">)</span></span>
<span><span class="fu"><a href="https://rdrr.io/r/graphics/plot.default.html" class="external-link">plot</a></span><span class="op">(</span><span class="va">new_dino</span>, input <span class="op">=</span> <span class="cn">TRUE</span>, legend_args <span class="op">=</span> <span class="fu"><a href="https://rdrr.io/r/base/list.html" class="external-link">list</a></span><span class="op">(</span>x <span class="op">=</span> <span class="st">"bottomright"</span><span class="op">)</span>, pch <span class="op">=</span> <span class="fl">20</span><span class="op">)</span></span></code></pre></div>
<p><img src="reference/figures/README-trump-1.png" width="50%"><img src="reference/figures/README-trump-2.png" width="50%"></p>
<p>In this example these images had similar summary statistics from the outset and therefore the appearance of the <code>dino</code> dataset has changed little. Otherwise, the first dataset will be deformed but its general shape will still be recognisable.</p>
<p>The rotation applied to the input dataset is not unique. The function <code>mimic</code> (and a function <code>anscombise</code> that is specific to Anscombe’s quartet) has an argument <code>idempotent</code> that controls how the rotation is performed. In the special case where the input dataset already has the desired summary statistics, using <code>idempotent = TRUE</code> ensures that the output dataset is the same as the input dataset.</p>
</div>
<div class="section level3">
<h3 id="installation">Installation<a class="anchor" aria-label="anchor" href="#installation"></a>
</h3>
<p>To get the current released version from CRAN:</p>
<div class="sourceCode" id="cb2"><pre class="downlit sourceCode r">
<code class="sourceCode R"><span><span class="fu"><a href="https://rdrr.io/r/utils/install.packages.html" class="external-link">install.packages</a></span><span class="op">(</span><span class="st">"anscombiser"</span><span class="op">)</span></span></code></pre></div>
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<h3 id="vignette">Vignette<a class="anchor" aria-label="anchor" href="#vignette"></a>
</h3>
<p>See <code><a href="articles/intro-to-anscombiser.html">vignette("intro-to-anscombiser", package = "anscombiser")</a></code> for an overview of the package.</p>
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<li>GPL (>= 2)</li>
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<li><a href="authors.html#citation">Citing anscombiser</a></li>
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<h2 data-toc-skip>Developers</h2>
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<li>Paul J. Northrop <br><small class="roles"> Author, maintainer, copyright holder </small> </li>
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