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<h1 class="title toc-ignore">Introduction to ggplot2</h1>
<p>ggplot2 is an R package for producing visualizations of data. Unlike
many graphics packages, ggplot2 uses a conceptual framework based on the
grammar of graphics. This allows you to speak a graph from composable
elements, instead of being limited to a predefined set of charts.</p>
<p>More complete information about how to use ggplot2 can be found in
the <a href="https://ggplot2-book.org/">book</a>, but here youll find a
brief overview of the plot components and some terse examples to build a
plot like this:</p>
<p><img 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" alt="Scatterplot of city versus highway miles per gallon, for many cars coloured by engine displacement. The plot has six panels in a 2-row, 3-column layout, showing the combinations of three types of drive train and year of manifacture. Every panel has an individual trendline." /></p>
<p>For structure, we go over the 7 composable parts that come together
as a set of instructions on how to draw a chart.</p>
<p><img 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" alt="A schematic displaying seven overlaying rhombuses indicating the different composable parts. From bottom to top, the labels read &#39;Data&#39;, &#39;Mapping&#39;, &#39;Layers&#39;, &#39;Scales&#39;, &#39;Facets&#39;, &#39;Coordinates&#39; and &#39;Theme&#39;." /></p>
<p>Out of these components, ggplot2 needs at least the following three
to produce a chart: data, a mapping, and a layer. The scales, facets,
coordinates, and themes have sensible defaults that take away a lot of
finicky work.</p>
<div id="data" class="section level2">
<h2>Data</h2>
<p>As the foundation of every graphic, ggplot2 uses <a href="https://ggplot2-book.org/getting-started.html#fuel-economy-data">data</a>
to construct a plot. The system works best if the data is provided in a
<a href="https://tidyr.tidyverse.org/articles/tidy-data.html">tidy</a>
format, which briefly means a rectangular data frame structure where
rows are observations and columns are variables.</p>
<p>As the first step in many plots, you would pass the data to the
<code>ggplot()</code> function, which stores the data to be used later
by other parts of the plotting system. For example, if we intend to make
a graphic about the <code>mpg</code> dataset, we would start as
follows:</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a><span class="fu">ggplot</span>(<span class="at">data =</span> mpg)</span></code></pre></div>
</div>
<div id="mapping" class="section level2">
<h2>Mapping</h2>
<p>The <a href="https://ggplot2-book.org/getting-started.html#aesthetics">mapping</a>
of a plot is a set of instructions on how parts of the data are mapped
onto aesthetic attributes of geometric objects. It is the dictionary
to translate tidy data to the graphics system.</p>
<p>A mapping can be made by using the <code>aes()</code> function to
make pairs of graphical attributes and parts of the data. If we want the
<code>cty</code> and <code>hwy</code> columns to map to the x- and
y-coordinates in the plot, we can do that as follows:</p>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="at">mapping =</span> <span class="fu">aes</span>(<span class="at">x =</span> cty, <span class="at">y =</span> hwy))</span></code></pre></div>
</div>
<div id="layers" class="section level2">
<h2>Layers</h2>
<p>The heart of any graphic is the <a href="https://ggplot2-book.org/toolbox.html">layers</a>. They take the
mapped data and display it in something humans can understand as a
representation of the data. Every layer consists of three important
parts:</p>
<ol style="list-style-type: decimal">
<li>The <a href="https://ggplot2-book.org/individual-geoms.html"><strong>geometry</strong></a>
that determines <em>how</em> data are displayed, such as points, lines,
or rectangles.</li>
<li>The <a href="https://ggplot2-book.org/statistical-summaries.html"><strong>statistical
transformation</strong></a> that may compute new variables from the data
and affect <em>what</em> of the data is displayed.</li>
<li>The <a href="https://ggplot2-book.org/layers.html#position"><strong>position
adjustment</strong></a> that primarily determines <em>where</em> a piece
of data is being displayed.</li>
</ol>
<p>A layer can be constructed using the <code>geom_*()</code> and
<code>stat_*()</code> functions. These functions often determine one of
the three parts of a layer, while the other two can still be specified.
Here is how we can use two layers to display the <code>cty</code> and
<code>hwy</code> columns of the <code>mpg</code> dataset as points and
stack a trend line on top.</p>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="fu">aes</span>(cty, hwy)) <span class="sc">+</span></span>
<span id="cb3-2"><a href="#cb3-2" tabindex="-1"></a> <span class="co"># to create a scatterplot</span></span>
<span id="cb3-3"><a href="#cb3-3" tabindex="-1"></a> <span class="fu">geom_point</span>() <span class="sc">+</span></span>
<span id="cb3-4"><a href="#cb3-4" tabindex="-1"></a> <span class="co"># to fit and overlay a loess trendline</span></span>
<span id="cb3-5"><a href="#cb3-5" tabindex="-1"></a> <span class="fu">geom_smooth</span>(<span class="at">formula =</span> y <span class="sc">~</span> x, <span class="at">method =</span> <span class="st">&quot;lm&quot;</span>)</span></code></pre></div>
<p><img 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" alt="A scatterplot showing city versus highway miles per gallon for many cars. The plot has a blue trendline with a positive slope." /></p>
</div>
<div id="scales" class="section level2">
<h2>Scales</h2>
<p><a href="https://ggplot2-book.org/scales-guides.html">Scales</a> are
important for translating what is shown on the graph back to an
understanding of the data. The scales typically form pairs with
aesthetic attributes of the plots, and are represented in plots by
guides, like axes or legends. Scales are responsible for updating the
limits of a plot, setting the breaks, formatting the labels, and
possibly applying a transformation.</p>
<p>To use scales, one can use one of the scale functions that are
patterned as <code>scale_{aesthetic}_{type}()</code> functions, where
<code>{aesthetic}</code> is one of the pairings made in the mapping part
of a plot. To map the <code>class</code> column in the <code>mpg</code>
dataset to the viridis colour palette, we can write the following:</p>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="fu">aes</span>(cty, hwy, <span class="at">colour =</span> class)) <span class="sc">+</span></span>
<span id="cb4-2"><a href="#cb4-2" tabindex="-1"></a> <span class="fu">geom_point</span>() <span class="sc">+</span></span>
<span id="cb4-3"><a href="#cb4-3" tabindex="-1"></a> <span class="fu">scale_colour_viridis_d</span>()</span></code></pre></div>
<p><img 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" alt="A scatterplot showing city versus highway miles per gallon for many cars. The points are coloured according to seven classes of cars." /></p>
</div>
<div id="facets" class="section level2">
<h2>Facets</h2>
<p><a href="https://ggplot2-book.org/facet.html">Facets</a> can be used
to separate small multiples, or different subsets of the data. It is a
powerful tool to quickly split up the data into smaller panels, based on
one or more variables, to display patterns or trends (or the lack
thereof) within the subsets.</p>
<p>The facets have their own mapping that can be given as a formula. To
plot subsets of the <code>mpg</code> dataset based on levels of the
<code>drv</code> and <code>year</code> variables, we can use
<code>facet_grid()</code> as follows:</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="fu">aes</span>(cty, hwy)) <span class="sc">+</span></span>
<span id="cb5-2"><a href="#cb5-2" tabindex="-1"></a> <span class="fu">geom_point</span>() <span class="sc">+</span></span>
<span id="cb5-3"><a href="#cb5-3" tabindex="-1"></a> <span class="fu">facet_grid</span>(year <span class="sc">~</span> drv)</span></code></pre></div>
<p><img 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" alt="Scatterplot of city versus highway miles per gallon, for many cars. The plot has six panels in a 2-row, 3-column layout, showing the combinations of three types of drive train and year of manifacture." /></p>
</div>
<div id="coordinates" class="section level2">
<h2>Coordinates</h2>
<p>You can view the <a href="https://ggplot2-book.org/coord.html">coordinates</a> part of the
plot as an interpreter of position aesthetics. While typically Cartesian
coordinates are used, the coordinate system powers the display of <a href="https://ggplot2-book.org/maps.html">map</a> projections and <a href="https://ggplot2-book.org/coord.html#polar-coordinates-with-coord_polar">polar</a>
plots.</p>
<p>We can also use coordinates to display a plot with a fixed aspect
ratio so that one unit has the same length in both the x and y
directions. The <code>coord_fixed()</code> function sets this ratio
automatically.</p>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="fu">aes</span>(cty, hwy)) <span class="sc">+</span></span>
<span id="cb6-2"><a href="#cb6-2" tabindex="-1"></a> <span class="fu">geom_point</span>() <span class="sc">+</span></span>
<span id="cb6-3"><a href="#cb6-3" tabindex="-1"></a> <span class="fu">coord_fixed</span>()</span></code></pre></div>
<p><img 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" alt="A scatterplot showing city versus highway miles per gallon for many cars. The aspect ratio of the plot is such that units on the x-axis have the same length as units on the y-axis." /></p>
</div>
<div id="theme" class="section level2">
<h2>Theme</h2>
<p>The <a href="https://ggplot2-book.org/themes">theme</a> system
controls almost any visuals of the plot that are not controlled by the
data and is therefore important for the look and feel of the plot. You
can use the theme for customizations ranging from changing the location
of the legends to setting the background color of the plot. Many
elements in the theme are hierarchical in that setting the look of the
general axis line affects those of the x and y axes simultaneously.</p>
<p>To tweak the look of the plot, one can use many of the built-in
<code>theme_*()</code> functions and/or detail specific aspects with the
<code>theme()</code> function. The <code>element_*()</code> functions
control the graphical attributes of theme components.</p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="fu">aes</span>(cty, hwy, <span class="at">colour =</span> class)) <span class="sc">+</span></span>
<span id="cb7-2"><a href="#cb7-2" tabindex="-1"></a> <span class="fu">geom_point</span>() <span class="sc">+</span></span>
<span id="cb7-3"><a href="#cb7-3" tabindex="-1"></a> <span class="fu">theme_minimal</span>() <span class="sc">+</span></span>
<span id="cb7-4"><a href="#cb7-4" tabindex="-1"></a> <span class="fu">theme</span>(</span>
<span id="cb7-5"><a href="#cb7-5" tabindex="-1"></a> <span class="at">legend.position =</span> <span class="st">&quot;top&quot;</span>,</span>
<span id="cb7-6"><a href="#cb7-6" tabindex="-1"></a> <span class="at">axis.line =</span> <span class="fu">element_line</span>(<span class="at">linewidth =</span> <span class="fl">0.75</span>),</span>
<span id="cb7-7"><a href="#cb7-7" tabindex="-1"></a> <span class="at">axis.line.x.bottom =</span> <span class="fu">element_line</span>(<span class="at">colour =</span> <span class="st">&quot;blue&quot;</span>)</span>
<span id="cb7-8"><a href="#cb7-8" tabindex="-1"></a> )</span></code></pre></div>
<p><img 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" alt="A scatterplot showing city versus highway miles per gallon for many cars. The points are coloured according to seven classes of cars. The legend of the colour is displayed on top of the plot. The plot has thick axis lines and the bottom axis line is blue." /></p>
</div>
<div id="combining" class="section level2">
<h2>Combining</h2>
<p>As mentioned at the start, you can layer all of the pieces to build a
customized plot of your data, like the one shown at the beginning of
this vignette:</p>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" tabindex="-1"></a><span class="fu">ggplot</span>(mpg, <span class="fu">aes</span>(cty, hwy)) <span class="sc">+</span></span>
<span id="cb8-2"><a href="#cb8-2" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="at">mapping =</span> <span class="fu">aes</span>(<span class="at">colour =</span> displ)) <span class="sc">+</span></span>
<span id="cb8-3"><a href="#cb8-3" tabindex="-1"></a> <span class="fu">geom_smooth</span>(<span class="at">formula =</span> y <span class="sc">~</span> x, <span class="at">method =</span> <span class="st">&quot;lm&quot;</span>) <span class="sc">+</span></span>
<span id="cb8-4"><a href="#cb8-4" tabindex="-1"></a> <span class="fu">scale_colour_viridis_c</span>() <span class="sc">+</span></span>
<span id="cb8-5"><a href="#cb8-5" tabindex="-1"></a> <span class="fu">facet_grid</span>(year <span class="sc">~</span> drv) <span class="sc">+</span></span>
<span id="cb8-6"><a href="#cb8-6" tabindex="-1"></a> <span class="fu">coord_fixed</span>() <span class="sc">+</span></span>
<span id="cb8-7"><a href="#cb8-7" tabindex="-1"></a> <span class="fu">theme_minimal</span>() <span class="sc">+</span></span>
<span id="cb8-8"><a href="#cb8-8" tabindex="-1"></a> <span class="fu">theme</span>(<span class="at">panel.grid.minor =</span> <span class="fu">element_blank</span>())</span></code></pre></div>
<p><img src="data:image/png;base64,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" alt="Scatterplot of city versus highway miles per gallon, for many cars coloured by engine displacement. The plot has six panels in a 2-row, 3-column layout, showing the combinations of three types of drive train and year of manifacture. Every panel has an individual trendline." /></p>
<p>If you want to learn more, be sure to take a look at the <a href="https://ggplot2-book.org/">ggplot2 book</a>.</p>
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