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Tutorial6_Visualization.html
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Tutorial6_Visualization.html
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<?xml version="1.0" encoding="utf-8" ?>
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<meta name="generator" content="pandoc" />
<meta name="author" content="DPI R Bootcamp" />
<title>Tutorial 6: Visualizations</title>
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</head>
<body>
<div class="slide titlepage">
<h1 class="title">Tutorial 6: Visualizations</h1>
<p class="author">
DPI R Bootcamp
</p>
<p class="date">Jared Knowles</p>
</div>
<div class="section slide level1" id="overview">
<h1>Overview</h1>
<p>In this lesson we hope to learn:</p>
<ul class="incremental">
<li>What is data visualization and why does it matter?</li>
<li>How to draw diagnostic plots in base graphics</li>
<li>Colors</li>
<li>`ggplot2'</li>
<li>Basic geoms</li>
<li>Layering and faceting plots</li>
<li>Putting it together</li>
</ul>
<p align="center">
<img src="data:image/png;base64,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" height="81" width="138">
</p>
</div>
<div class="section slide level1" id="graphics-matter">
<h1>Graphics Matter</h1>
<ul class="incremental">
<li>Graphics are a huge part of R and R encourages its users to use visualization to aid and present analysis</li>
<li>Graphics are hard to get right, but tools can help make it easier</li>
<li>Lots of great resources to help available for this online and linked to at the end of this document</li>
</ul>
</div>
<div class="section slide level1" id="visualization-philosophy">
<h1>Visualization Philosophy</h1>
<ul class="incremental">
<li>Visualization is about thinking about what objects in our dataset map with what visual cues for the viewer</li>
<li>liberal use of <code>names(object)</code> helps</li>
<li>What is the best way to show discrete variables, continuous variables, and connected variables</li>
<li>We also need to be unafraid about trying transformations of variables, recoding variables, and reshaping variables to tell the story we are looking for</li>
<li>What is a plot?</li>
</ul>
</div>
<div class="section slide level1" id="our-data-for-this-exercise">
<h1>Our data for this exercise</h1>
<ul class="incremental">
<li>As we now know, student data is quite fascinating</li>
<li>We have many discrete attribute variables</li>
<li>Race, gender, economics, etc.</li>
<li>We have some continuous variables</li>
<li>Test scores, attendance</li>
<li>We have some grouping variables</li>
<li>Schools, districts, students, teachers</li>
<li>Rich ground to make a number of visualizations that are useful</li>
</ul>
</div>
<div class="section slide level1" id="base-graphics">
<h1>Base graphics</h1>
<ul class="incremental">
<li>R has base graphics which are useful for quickly doing some plots</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">hist</span>(df$readSS)</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk basehist" alt="plot of chunk basehist" width="600px" height="350px" />
</div>
<div class="section slide level1" id="base-graphics-are-simple">
<h1>Base graphics are simple</h1>
<ul class="incremental">
<li>You can use them to understand your data and do quick diagnostics</li>
<li>The commands are pretty easy to remember</li>
<li>You can do complex things with them if you like, but the syntax can be confusing</li>
</ul>
</div>
<div class="section slide level1" id="base-graphics-has-some-limitations">
<h1>Base graphics has some limitations</h1>
<ul class="incremental">
<li>What if we try to do a scatterplot of lots of data?</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(df$readSS, df$mathSS)</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk basescatter" alt="plot of chunk basescatter" width="300px" height="200px" />
<ul class="incremental">
<li>To add a line, we have to use another line of code</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(df$readSS, df$mathSS)
<span class="kw">lines</span>(<span class="kw">lowess</span>(df$readSS ~ df$mathSS), <span class="dt">col =</span> <span class="st">"red"</span>)</code></pre>
<img 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" title="plot of chunk scatterbaseline" alt="plot of chunk scatterbaseline" width="300px" height="200px" />
</div>
<div class="section slide level1" id="basic-plot">
<h1>Basic Plot</h1>
<ul class="incremental">
<li>Don't use R base graphics</li>
<li><code>ggplot2</code> is pretty much the new standard in R</li>
<li>Create beautiful, clear plots with a nice consistent set of language conventions</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(ggplot2)
<span class="kw">qplot</span>(readSS, mathSS, <span class="dt">data =</span> df)</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk plot1" alt="plot of chunk plot1" width="600px" height="325px" />
</div>
<div class="section slide level1" id="now-how">
<h1>Now, how?</h1>
<ul class="incremental">
<li>Apply best visualization principles, particularly the "Grammar of Graphics"</li>
<li><code>ggplot2</code> an R package does just this by breaking plots into a few basic components</li>
<li>aesthetics, geoms, layers, and scales</li>
<li>Making high quality graphics is just a matter of applying the right data to the right aesthetics in an appropriate geom, adding layer for detail, and ensuring the scale is appropriate</li>
<li>Let's talk about how to do that next</li>
</ul>
</div>
<div class="section slide level1" id="what-are-the-basic-plot-types">
<h1>What are the basic plot types?</h1>
<img 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" title="plot of chunk ggplot2plottypes" alt="plot of chunk ggplot2plottypes" width="850px" height="520px" />
<pre><code>## NULL</code></pre>
</div>
<div class="section slide level1" id="what-are-some-advanced-plot-types">
<h1>What are some advanced plot types?</h1>
<img 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" title="plot of chunk ggplot2plottypesadv" alt="plot of chunk ggplot2plottypesadv" width="850px" height="520px" />
<pre><code>## NULL</code></pre>
</div>
<div class="section slide level1" id="section">
<h1></h1>
<h2 id="your-turn-what-are-some-examples-of-interesting-visualizations-we-could-use">Your Turn: What are some examples of interesting visualizations we could use?</h2>
</div>
<div class="section slide level1" id="understanding-grammar-of-graphics-through-a-scatterplot">
<h1>Understanding Grammar of Graphics through A Scatterplot</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(readSS, mathSS, <span class="dt">data =</span> df, <span class="dt">alpha =</span> <span class="kw">I</span>(<span class="fl">0.3</span>)) + <span class="kw">theme_dpi</span>()</code></pre>
<img 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" title="plot of chunk smallscatter" alt="plot of chunk smallscatter" width="300px" height="240px" />
<ul class="incremental">
<li>What is a scatterplot?</li>
<li>A 2d representation of data as coordinates, in this case the <code>readSS</code> is the x coordinate and <code>mathSS</code> is the y coordinate for each observation in our data</li>
<li>Each observation is a point (<em>geom</em>)</li>
<li>Both axes scale in a linear fashion (<em>scales</em>)</li>
</ul>
</div>
<div class="section slide level1" id="grammar-of-graphics">
<h1>Grammar of Graphics</h1>
<ul class="incremental">
<li>In one way of thinking about this, each data visualization has four components</li>
<li><strong>Geometries</strong> that represent data (<em>points, bars, lines</em>)</li>
<li><strong>Statistics</strong> that represent information about the data (<em>identity, mean, median, deviance</em>)</li>
<li><strong>Scales</strong> that map the geometries and statistics to space (<em>linear, quadratic, logrithmic</em>)</li>
<li>A <strong>coordinate system</strong> and canvas to put all on</li>
</ul>
</div>
<div class="section slide level1" id="geoms">
<h1>Geoms</h1>
<ul class="incremental">
<li><strong>Geoms</strong> are the way data is represented, you can think of it like a chart type in another programming language</li>
<li>We have seen a number of examples, and <strong>geoms</strong> can be combined in unique ways to convey more data</li>
<li>Quiz: Represent <code>df$mathSS</code> using <strong>3 separate geoms</strong></li>
</ul>
</div>
<div class="section slide level1" id="geom-quiz">
<h1>Geom Quiz</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(mathSS, readSS, <span class="dt">data =</span> df) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk geomquiz" alt="plot of chunk geomquiz" width="350px" height="260px" />
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(mathSS, <span class="dt">data =</span> df) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA2AAAAKICAMAAAAhLGnNAAAAeFBMVEUAAAAAADoAAGYAOjoAOpAAZpAAZrYzMzM6AAA6ADo6AGY6OgA6OpA6ZmY6ZrY6kNtmAABmADpmAGZmtrZmtv9/f3+QOgCQOjqQkDqQ27aQ2/+2ZgC2/7a2///bkDrbtrbb///l5eX19fX/tmb/25D//7b//9v///8hCD4mAAAACXBIWXMAAAsSAAALEgHS3X78AAAb2ElEQVR4nO3dgVYbSZJGYcF6PW53zxr3Mu5dWBgwEnr/N1yVwAWiqyBC8WdGVup+x6fBPcfpDkfekRC2WW0BFLPK/g8AekZgQEEEBhREYEBBBAYURGBAQQQGFERgQEEEBhREYEBBBAYURGBAQQQGFHRcYP8CME0S2BE/5udRP9Mx7qv9TPVmYqiYekMRmBB3MabHoQhMiLsY0+NQBCbEXYzpcSgCE+IuxvQ4FIEJcRdjehyKwIS4izE9DkVgQtzFmB6HIjAh7mJMj0MRmBB3MabHoQhMiLsY0+NQBCbEXYzpcSgCE+IuxvQ4FIEJcRdjehyKwIS4izE9DkVgQtzFmB6HIjAh7mJMj0MRmBB3MabHoeyBrb+sVpdPbz7dbR9/rM5vZg4xIbAQhgppMLDNxeX24exq+/B5/93rz8O36UNMCCyEoUIaDOxh/7B1ub3+Nnxv8/1qu/46PIStdgjsCXcxpsehXB+D7R7FHv+6Gt4b4hoiew7sHsAUV2C3n+42339fnV29CmyiUhMewUIYKqTNR7Db85vt+rer7ebPGwKbwl2M6XEoR2C3Z89B7coisCncxZgeh7IHdju+LL8r6+VFjolDTAgshKFCGgxseG648zA8Tfzjjpfpp4hn+sekp/9tsUO9p8ehzIFdDy8Xri63t6v9Z5g3F3yi+W8ILKbHofitUkIEFtPjUAQmRGAxPQ5FYEJHzzSdEoEVQ2BCC1gbge31OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZgQgcX0OBSBCRFYTI9DEZhQlcDey64EAgshMCECi1nAptwITIjAYhawKTcCEyKwmAVsyo3AhAgsZgGbciMwIQKLWcCm3AhMiMBiFrApNwITIrCYBWzKjcCECCxmAZtyIzAhAotZwKbcCEyIwGIWsCk3AhMisJgFbMqNwIQILGYBm3IjMCHDTPGUCEyAwISaWhuBvaOpTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sS0QT2s2X32f8Br5UKLHsuiaY2JcIjmBCPYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYkQmBCBxTS1KRECEyKwmKY2JUJgQgQW09SmRAhMiMBimtqUCIEJEVhMU5sSITAhAotpalMiBCZEYDFNbUqEwIQILKapTYnYA1t/Wa0ut9vHH6vzm/HN5CEmBEZgbzW1KRFzYJuLy+3D2dX2+vPw7debyUNMCIzA3mpqUyLmwB4+3e0eti4336+26683z2+mDzEhMAJ7q6lNibg+Bts9ig1V7ep6fjP8iB0Ce0JgMU1tSsQV2O2nu+nA7mFUKrDsuTDDE9jt+c32b4FNVGrCI5hU6lAqTW1KxBHY7dkuKAJ7B4HFNLUpEXtgt/uX5XmR4x0EFtPUpkTMga1/e3q84mX6eQQW09SmRMyBXQ+vZqwut5uL/WeYn99MHmJCYAT2VlObEuG3SgkRWExTmxIhMCECi2lqUyIEJnQwU6mUCEyAwIQITDdUWQRmO8SEwAjsLQKzHWJCYAT2FoHZDjEhMAJ7i8Bsh5gQGIG9RWC2Q0wIjMDeIjDbISYERmBvEZjtEBMCI7C3CMx2iAmBEdhbBGY7xITACOwtArMdYkJgFciHKovAbIeYEFgF8qHKIjDbISYEVoF8qLIIzHaICYFVIB+qLAKzHWJCYBXIhyqLwGyHmBBYBfKhyiIw2yEmBFaBfKiyCMx2iAmBVSAfqiwCsx1iQmAVyIcqi8Bsh5h0FFh2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYUQWFx2RvMU0xFYCIHFZWc0TzEdgYVoAvvZsvvSP0F2RvNKTy5WfFMJeASLy85onmI6HsFCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIzmqeYjsBCCCwuO6N5iukILITA4rIz8vJNR2AhBBaXHYyXbzoCCyGwuOxgvHzTEVgIgcVlB+Plm47AQggsLjsYL990BBZCYHHZwXj5piOwEAKLyw7GyzcdgYUQWFx2MF6+6QgshMDisoPx8k1HYCEEFpcdjJdvOgILIbC47GC8fNMRWAiBxWUH4+WbjsBCCCwuOxgv33QEFkJgcdnBePmmI7AQAovLDsbLNx2BhRBYXHYwXr7pCCyEwOKyg/HyTUdgIQQWlx2Ml286AgshsLjsYLx80xFYCIHFZQfj5ZuOwEIILC47GC/fdAQWQmBx2cF4+aYjsBACi8sOxss3HYGFEFhcdjBevukILITA4rKD8fJNR2AhBBaXHYyXbzoCCyGwuOxgvHzTEVgIgcVlB+Plm47AQggsLjsYL990BBZCYHHZwXj5piOwEAKLyw7GyzcdgYV4Alt/vdn948tq9elu+/hjdX4zc4gJgaXxTUdgIY7ANhdDUg+f99+5/jx8mz7EhMDS+KYjsBB7YLerfw6PYNffhu9svl89PaBNHWJCYGl80xFYiD2wf98NRT3+dTV8Z3h3iGz3I3YIbFF80xFYiPdjsM3331dnV28Duz9p2cF4Zf96nRRvYOvfrrabP29eApuo1IRHsDS+6XgEC3G/irjdfwBGYK9kB+Plm47AQo4MjBc5XskOxss3HYGFeAN7ON89TfzjjpfpX8kOxss3HYGFuB/Bblf7zzBvLvhE8y/ZwXj5piOwEH6rVFx2MF6+6QgshMDisoPx8k1HYCEEFpcdjJdvOgILIbC47GC8fNMRWAiBxWUH4+WbjsBCCMwluw0J38gEFkJgLtltSPhGJrAQAnPJbkPCNzKBhRCYS3YbEr6RCSyEwFyy25DwjUxgIQTmkt2GhG9kAgshMJfsNiR8IxNYCIG5ZLch4RuZwEIIzCW7DQnfyAQWQmAu2W1I+EYmsBACc8luQ8I3MoGFEJhLdhsSvpEJLITAXLLbkPCNTGAhBOaS3YaEb2QCCyEwl+w2JHwjE1gIgblktyHhG5nAQgjMJbsNCd/IBBZCYC7ZbUj4RiawEAJzyW5DwjcygYUQmEt2GxK+kQkshMBcstuQ8I1MYCEE5pLdhoRvZAILITCX7DYkfCMTWAiBuWS3UdDcyAQWQmAu2RUUNDcygYUQmEt2BQXNjUxgIQTmkl1BQXMjE1gIgblkV1DQ3MgEFjIf2Obi2+6f15/u3IeYEFhj5kYmsJC5wNZfVk9evlCs+RATAmvM3MgEFjL7CHb7HNjn7ccIrANzIxNYyEdPEY85xITAGjM3MoGF8CKHS3YFBc2NTGAh7wT2wMdgf5NdQUFzIxNYyHtPEQnsb7IrKGhuZAIL4WMwl+wKCpobmcBC3nmKeGt5AXHqEBMCa8zcyAQWwlNEl+wKCpobmcBCCMwlu4KC5kYmsBBepnfJrqCguZEJLITAXLIrKGhuZAIL4SmiS3YFBc2NTGAhBOaSXUFBcyMTWMhHTxGvLZ8M+9fPlt0Lz8quoCDhr9KxlJtqxUeB3fII9lp2BQXNjcwjWAhPEV2yKyhobmQCC/kwsEv/ISYE1pi5kQkshJfpXbIrKGhuZAILITCX7AoKmhuZwELeC2z4WwNMv6OewLpFYEHvBHa9/xjM9DL9ET8xgS0CgQW99yLH8MdVrnkV8bXs+14dgQURmEv2fa+OwII+fIrIX9v2WvZ9r47Agj56kcP0p5oJrFsEFsTL9C7Z9706Agt6J7DHH5fbW8tfTU9g/SKwoPnAHn+svu0+DuNjsNey73t1BBb00V/bxu+mP5B936sjsCBepnfJvu/VEVgQL9O7ZN/36ggs6L1XEa95mf6t7PteHYEF8TK9S/Z9r47AggjMJfu+V0dgQQTmkn3fqyOwIAJzyb7v1RFYEIG5ZN/36ggsiMBcsu97dQQWRGAu2fe9OgILIjCX7PteHYEFEZhL9n2vjsCCCMwl+75XR2BBBOaSfd+rI7AgAnPJvu/VEVgQgblk3/fqCCyIwFyy73t1BBZEYC7Z9706AgsiMJfs+14dgQURmEv2fa+OwIIIzCX7vldHYEEE5pJ936sjsCACc8m+79URWBCBuWTf9+oILIjAXLLve3UEFkRgLtn3vToCCyIwl+z7Xh2BBRGYS/Z9b4TwV/Q1ArMdYkJgCyb8FX2NwGyHmLQeWPYdbpp2QSMCsx1iQmALpl3QiMBsh5gQ2IJpFzQiMNshJgS2YNoFjQjMdogJgS2YdkGjUw9s/fVm/6Wbz1/eTB5iQmALpl3Q6MQD21wMSV1/Hr79ejN5iAmBLZh2QaPTDux29c/dI9jm+9XwSPb8ZvoQEwJbMO2CRqcd2L/vhqLWT5E9vxl+xA6BnRjtgkanHdjTx2DTgd33J/sONy17OQsSDmyiUhMewRZMu6ARj2AEhoF2QSMC40UODLQLGhEYL9NjoF3QiMBuhs+G7T/D/Pxm8hATAlsw7YJGpx6Y9RATAlsw7YJGBGY7xITAFky7oBGB2Q4xIbAF0y5oRGC2Q0wIbMG0CxoRmO0QEwJbMO2CRgRmO8SEwBZMu6ARgdkOMSGwBdMuaERgtkNMCGzBtAsaEZjtEBMCWzDtgkYEZjvEhMAWTLugEYHZDjEhsAXTLmhEYLZDTAhswbQLGhGY7RATAlsw7YJGBGY7xITAFky7oBGB2Q4xIbAF0y5oRGC2Q0wIbMG0CxoRmO0QEwJbMO2CRgRmO8SEwBZMu6ARgdkOMSGwBdMuaERgtkNMCGzBtAsaEZjtEBMCWzDtgkYEZjvEhMAWTLugEYHZDjEhsAXTLmhEYLZDTAhswbQLGhGY7RATAlsw7YJGBGY7xITAFky7oBGB2Q4xIbAF0y5oRGC2Q0wIbMG0CxoRmO0QEwJbMO2CRgRmO8SEwBZMu6ARgdkOMSGwBdMuaERgtkNMCGzBtAsaEZjtEBMCWzDtgkYEZjvEhMAWTLugEYHZDjEhsAXTLmhEYLZDTAisO0mbOgaBCRFYJUmbOgaBCRFYJUmbOgaBCRFYJUmbOgaBCX20tux72Y3im9IhMCECq6T4pnQITIjAKim+KR0CEyKwSopvSofAhAiskuKb0iEwIQKrpPimdAhMiMAqKb4pHQITIrBKim9Kh8CECKyS4pvSWVpgP1t2/8H/nn0vu1F8U0vEI9g2+152o/imdJb2CHbEjyGw7hTflA6BCRFYJcU3pUNgQgRWSfFN6RCYEIFVUnxTOgQmRGCVFN+UDoEJEVglxTelQ2BCBFZJ8U3pEJgQgVVSfFM6BCZEYJUU35QOgQkRWCXFN6VDYEIEVknxTekQmBCBVVJ8UzoEJkRglRTflA6BCRFYJcU3pUNgQgRWSfFN6RCYEIFVUnxTOgQmRGCVFN+UDoEJEVglxTelQ2BCBFZJ8U3pEJgQgVVSfFM6BCZEYJUU35QOgQkRWCXFN6VDYEIEVknxTekQmBCBVVJ8UzoEJkRglRTflA6BCRFYJcU3pUNgQgRWSfFN6RCYEIFVUnxTOgQmRGCVFN+UDoEJEVglxTelQ2BCBFZJ8U3pEJgQgVVSfFM6BCZEYJUU35QOgQkRWCXFN6VDYEIEVknxTekQmBCBVVJ8UzoEJkRglRTflA6BCRFYJcU3pUNgQgRWSfFN6RCYEIFVUnxTOgQmRGCVFN+UDoEJEVgq4aZ0CEyIwFIJN6VDYEIElkq4KR0CEyKwVMJN6RCYEIGlEm5Kh8CECCyVcFM6BCZEYKmEm9IhMCECSyXclE7Dga2/rFaf7raPP1bnNzOHmBDYiRBuSqfhwB4+799cfx6+TR9iQmAnQrgpnYYDu/42/HPz/Wq7/jo8hK12CAyzhJvSaTewx7+uhjdDXENkz4HdL1n2Dexc9nqTeQPbfP99dXb1KrCJSk14BDsRwk3ptPsItv7tarv584bAYCTclE67gQ12ZREYjISb0mk+sJcXOSYOMSGwEyHclE67gT2c32zXf9zxMj2MhJvSaTew7e1q/xnmzQWfaIaFcFM6DQdmOMSEwE6EcFM6BCZEYKmEm9IhMCECSyXclA6BCRFYKuGmdAhMiMBSCTelQ2BCBJZKuCkdAhMisFTCTekQmBCBpRJuSofAhAgslXBTOgQmRGCphJvSITAhAksl3JQOgQkRWCrhpnQITIjAUgk3pUNgQgSWSrgpHQITIrBUwk3pEJgQgaUSbkqHwIQILJVwUzoEJkRgqYSb0iEwIQJLJdyUDoEJvawt+66dpKM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYqqM2VRqBCRFYgz7YVGkEJkRgDfpgU6URmBCBNeiDTZVGYEIE1qAPNlUagQkRWIM+2FRpBCZEYA36YFOlEZgQgTXog02VRmBB2fcHH5jcGoHZDjEhsJM2uTUCsx1iQmAnbXJrBGY7xITATtrk1ghs7pCfrcm+P/jA5NbuK9+SGngEQ4bJrfEIZjvEhMBO2uTWCMx2iAmBnbTJrRGY7RATAjtpk1sjMNshJgR20ia3RmC2Q0wI7KRNbo3AbIeYENhJm9wagdkOMSGwkza5NQKzHWJCYCdtcmsEZjvEhMBO2uTWCMx2iAmBnbTJrRGY7RATAjtpk1sjMNshJgR20ia3RmC2Q0wI7KRNbo3AbIeYENhJm9wagdkOMSGwkza5NQKzHWJCYLApcT8ILCj7UkCnxP0gsKDsSwGdEveDwMyy14/SRBflAIGZZa8fpYkuygECM8teP0oTXZQDBGaWvX6UJrooBwjMLHv9KE10UQ4QmFn2+lGa6KIcIDCz7PWjNNFFOUBgZtnrR2mii3KAwMyy14/SRBflAIGZZa8fpYkuygECM8teP0oTXZQDBGaWvX6UJrooBwjMLHv9KE10UQ4QmFn2+lGa6KIcIDCz7PWjNNFFOUBgZtnrR2mii3KAwMyy14/SRBflAIFNyF40chxxuT5EYBOyF40cR1yuDxHYhOxFI4fnNpS7fcciMDTOcxvK3b5jERga57kN5W7fsQgMjfPchnK371gEhsZ5bkO523csAkPjPLeh3O07FoGhcZ7bUO72HavJwGquD63z3BHF7dMiMDTOc0cUt0+LwNARxe3TIjB0RHH7tAgM3fPdPq1jA3v8sTq/mTnEhMBQi+/2aR0b2PXn4dv0ISZPI2b/0uMUzN2+KdYTrI4MbPP9arv+OjyErXYIDC2bu31TrCdYHRnYENcQ2XNg9wCmhAObqNSk3rPg+2o/U72ZGCqm+Y/BCGwKdzGmx6EITIi7GNPjUOEXOSYOMSGwEIYKaT4w1cv0NfS4NoaKaT+wzUXBTzRr9bg2hoppP7D3DjEhsBCGCiEwoR7XxlAxBCbU49oYKobAhHpcG0PFEJhQj2tjqBgCE+pxbQwVQ2BCPa6NoWIITKjHtTFUDIEJ9bg2hoohMKEe18ZQMQQm1OPaGCqGwIR6XBtDxRCYUI9rY6gYAhPqcW0MFUNgQj2ujaFiCEyox7UxVAyBCfW4NoaKITChHtfGUDEEJtTj2hgqhsCEelwbQ8UsLbCWrVbZ/wUFMNRiKAJr2qrDmRhqqTocscu1MdRCdThil2tjqIU6gRGBPAQGFERgQEEEBhREYEBB/QT2sFqdXW23jz/2XwXm+c3Srb+sVp/u+hrqYfgq36tvfQ01q5vA1r9dbR92m3r+OmYHX85suR6eZuhrqJ3+NjWnm8AGm+9Xz1+J8/ALci7X9bfhn50NNXyxucv+hprWVWC3n+6ev5b04ZeUXqzHv/Yj9DXUdr+o/oaa1lFg6y9nV52tbfP991V3Qw0fdl12+P8a0zoKbP/Mvq+1DR9Ybv7sbKintghsgV721dHaOhzqdnhRo7ehZvQWWH8fOnc41P6lm96GmtFNYMMLv+s/7vp68bfLoZ4+BOvwcw+Tuglse7vaf8Jyc/H6zdJ1OdTzM8K+hprTT2BAgwgMKIjAgIIIDCiIwICCCGzxNhef7n699/Si48s7yEZgy7b+r5fAHn+c3+y/M76DdAS2aOsvn18C21w8f8J2fAfpCGwx1l/+88dq9d+7Z3+XT3/U+ezqcfcvzv/v4j++7P/d5uL5aeH4DtIR2GKsv5zfDH8k5+kJ4NMj19Mj2NnV06PYw/7vF9i+egfZCGwxfj0dHALb/1UWqyG41/9uu71erZ7/koFf7yAXgS3G65g2F6tvwxPBt4Htuju7OnwHqQhsMV7H9LD7mOvlKeKrwLa3q8s37yATgS3GYWCfdwW9fCy2D2z4l4fvIB2BLcbBo9XuY6zz/9k9Cbxenf3v+Ah2u3r6uyFf3kE2AgMKIjCgIAIDCiIwoCACAwoiMKAgAgMKIjCgIAIDCiIwoKD/B+t8pDrFF/+wAAAAAElFTkSuQmCC" title="plot of chunk geomquiz" alt="plot of chunk geomquiz" width="350px" height="260px" />
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(<span class="kw">factor</span>(grade), mathSS, <span class="dt">data =</span> df, <span class="dt">geom =</span> <span class="st">"line"</span>, <span class="dt">group =</span> stuid, <span class="dt">alpha =</span> <span class="kw">I</span>(<span class="fl">0.2</span>)) +
<span class="kw">theme_dpi</span>()</code></pre>
<img 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" title="plot of chunk geomquiz" alt="plot of chunk geomquiz" width="350px" height="260px" />
</div>
<div class="section slide level1" id="aesthetics">
<h1>Aesthetics</h1>
<ul class="incremental">
<li><strong>geoms</strong> allow us to only display a couple of data elements at once, to do more we need to map to other visual representations</li>
<li>This is what <em>aesthetics</em> are</li>
<li>aesthetics are colors, glyphs (shapes), and sizes of graph objects mapped to visual cues</li>
<li><code>ggplot2</code> has an extended syntax that makes this obvious</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">ggplot</span>(df, <span class="kw">aes</span>(<span class="dt">x =</span> readSS, <span class="dt">y =</span> mathSS)) + <span class="kw">geom_point</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk extended" alt="plot of chunk extended" width="600px" height="240px" />
<pre class="sourceCode r"><code class="sourceCode r"><span class="co"># Identical to: qplot(readSS,mathSS,data=df)</span></code></pre>
<ul class="incremental">
<li><code>aes</code> says we are specifying aesthetics, here we specified x and y to make a two dimensional graphic</li>
</ul>
</div>
<div class="section slide level1" id="examples-of-aesthetics">
<h1>Examples of Aesthetics</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">data</span>(mpg)
<span class="kw">qplot</span>(displ, cty, <span class="dt">data =</span> mpg) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk plot2" alt="plot of chunk plot2" width="400px" height="300px" />
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(displ, cty, <span class="dt">data =</span> mpg, <span class="dt">size =</span> cyl) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk plot2" alt="plot of chunk plot2" width="400px" height="300px" />
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(displ, cty, <span class="dt">data =</span> mpg, <span class="dt">shape =</span> drv, <span class="dt">size =</span> <span class="kw">I</span>(<span class="dv">3</span>)) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk plot2" alt="plot of chunk plot2" width="400px" height="300px" />
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(displ, cty, <span class="dt">data =</span> mpg, <span class="dt">color =</span> class) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk plot2" alt="plot of chunk plot2" width="400px" height="300px" />
</div>
<div class="section slide level1" id="experiment-with-aesthetics">
<h1>Experiment with Aesthetics</h1>
<h3 id="draw-some-plots-with-different-aesthetics-using-our-student-level-dataset">Draw some plots with different aesthetics using our student level dataset</h3>
</div>
<div class="section slide level1" id="some-considerations-with-aesthetics">
<h1>Some Considerations with Aesthetics</h1>
<ul class="incremental">
<li><strong>aesthetics</strong> are very sensitive to whether a variable is continuous or discrete or ordered</li>
<li><strong>R</strong> isn't always so worried about this!</li>
<li>Why does it matter? Let's see a few examples</li>
</ul>
</div>
<div class="section slide level1" id="aesthetics-considerations-ordered">
<h1>Aesthetics Considerations (ordered)</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(mathSS, readSS, <span class="dt">data =</span> df[<span class="dv">1</span>:<span class="dv">100</span>, ], <span class="dt">size =</span> race, <span class="dt">alpha =</span> <span class="kw">I</span>(<span class="fl">0.8</span>)) + <span class="kw">theme_dpi</span>()</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk racesizemapping" alt="plot of chunk racesizemapping" width="600px" height="350px" />
<ul class="incremental">
<li>Does this make sense?</li>
</ul>
</div>
<div class="section slide level1" id="another-aesthetics-concern-ordered">
<h1>Another Aesthetics Concern (ordered)</h1>
<pre class="sourceCode r"><code class="sourceCode r">df$proflvl2 <- <span class="kw">factor</span>(df$proflvl, <span class="dt">levels =</span> <span class="kw">c</span>(<span class="st">"advanced"</span>, <span class="st">"basic"</span>, <span class="st">"proficient"</span>,
<span class="st">"below basic"</span>))
df$proflvl2 <- <span class="kw">ordered</span>(df$proflvl2)
<span class="kw">qplot</span>(mathSS, readSS, <span class="dt">data =</span> df[<span class="dv">1</span>:<span class="dv">100</span>, ], <span class="dt">color =</span> proflvl2, <span class="dt">size =</span> <span class="kw">I</span>(<span class="dv">3</span>)) + <span class="kw">scale_color_brewer</span>(<span class="dt">type =</span> <span class="st">"seq"</span>) +
<span class="kw">theme_dpi</span>()</code></pre>
<img 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" title="plot of chunk proflvlcolor" alt="plot of chunk proflvlcolor" width="600px" height="350px" />
</div>
<div class="section slide level1" id="aesthetics-concern-2-discrete-and-continuous">
<h1>Aesthetics Concern 2 (discrete and continuous)</h1>
<ul class="incremental">
<li>What aesthetics can we map continuous variables like <code>mathSS</code> to, and what can we map discrete characteristics like <code>race</code> to?</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(<span class="kw">factor</span>(grade), readSS, <span class="dt">data =</span> df[<span class="dv">1</span>:<span class="dv">100</span>, ], <span class="dt">color =</span> mathSS, <span class="dt">geom =</span> <span class="st">"jitter"</span>,
<span class="dt">size =</span> <span class="kw">I</span>(<span class="fl">3.2</span>)) + <span class="kw">theme_dpi</span>()</code></pre>
<img 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" title="plot of chunk badcontinuousmapping" alt="plot of chunk badcontinuousmapping" width="600px" height="350px" />
<ul class="incremental">
<li>What's wrong?</li>
</ul>
</div>
<div class="section slide level1" id="aesthetics-concern-2">
<h1>Aesthetics Concern 2</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(<span class="kw">factor</span>(grade), readSS, <span class="dt">data =</span> df[<span class="dv">1</span>:<span class="dv">100</span>, ], <span class="dt">color =</span> dist, <span class="dt">geom =</span> <span class="st">"jitter"</span>,
<span class="dt">size =</span> <span class="kw">I</span>(<span class="fl">3.2</span>)) + <span class="kw">theme_dpi</span>()</code></pre>
<img 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" title="plot of chunk baddiscretemap" alt="plot of chunk baddiscretemap" width="600px" height="350px" />
<ul class="incremental">
<li>What's wrong?</li>
</ul>
</div>
<div class="section slide level1" id="thinking-about-aesthetics">
<h1>Thinking about Aesthetics</h1>
<ul class="incremental">
<li>One concern is discrete v. continuous variables</li>
</ul>
<table>
<thead>
<tr class="header">
<th align="left">Aesthetic</th>
<th align="center">Discrete</th>
<th align="left">Continuous</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="left">Color</td>
<td align="center">Disparate colors</td>
<td align="left">Sequential or divergent colors</td>
</tr>
<tr class="even">
<td align="left">Size</td>
<td align="center">Unique size for each value</td>
<td align="left">mapping to radius of value</td>
</tr>
<tr class="odd">
<td align="left">Shape</td>
<td align="center">A shape for each value</td>
<td align="left"><strong>does not make sense</strong></td>
</tr>
</tbody>
</table>
</div>
<div class="section slide level1" id="another-is-ordered-v.-unordered">
<h1>Another is ordered v. unordered</h1>
<table>
<thead>
<tr class="header">
<th align="left">Aesthetic</th>
<th align="center">Ordered</th>
<th align="left">Unordered</th>
</tr>
</thead>
<tbody>
<tr class="odd">
<td align="left">Color</td>
<td align="center">Sequential or divergent colors R</td>
<td align="left">ainbow</td>
</tr>
<tr class="even">
<td align="left">Size</td>
<td align="center">Increasing or decreasing radius *</td>
<td align="left"><em>does not make sense</em>*</td>
</tr>
<tr class="odd">
<td align="left">Shape</td>
<td align="center"><strong>does not make sense</strong> A</td>
<td align="left">shape for each value</td>
</tr>
</tbody>
</table>
</div>
<div class="section slide level1" id="scales">
<h1>Scales</h1>
<ul class="incremental">
<li>Scales are the way the numeric/categorical data is mapped to a visual representation</li>
<li>They transform the geoms and aesthetics</li>
<li>Scales preserve the mapping, but allow us to explore reshaping the data</li>
</ul>
<img 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" title="plot of chunk scaleexample" alt="plot of chunk scaleexample" width="600px" height="350px" />
</div>
<div class="section slide level1" id="scales-caveats">
<h1>Scales Caveats</h1>
<ul class="incremental">
<li>Despite not changing the mapping of data to space, scales can dramatically influence the interpretation of our data</li>
<li>Rescaling data should be done thoughtfully and with care</li>
<li>Picking a good scale can be really difficult, and sometimes, a good scale just won't exist without reshaping or subsetting the data!</li>
</ul>
</div>
<div class="section slide level1" id="scales-also-apply-to-color-and-fill">
<h1>Scales also apply to color and fill</h1>
<ul class="incremental">
<li>The colors we choose can carry important meaning, as we have discussed</li>
<li>So can the shapes we use for points, or for lines</li>
<li>It is important to keep this in mind</li>
</ul>
</div>
<div class="section slide level1" id="layers">
<h1>Layers</h1>
<ul class="incremental">
<li>Exactly what they sound like, each plot is a simple series of layers</li>
<li>One way to do layers is to break plots up into small multiples (see Tufte)</li>
</ul>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(readSS, mathSS, <span class="dt">data =</span> df) + <span class="kw">facet_wrap</span>(~grade) + <span class="kw">theme_dpi</span>(<span class="dt">base_size =</span> <span class="dv">12</span>) +
<span class="kw">geom_smooth</span>(<span class="dt">method =</span> <span class="st">"lm"</span>, <span class="dt">se =</span> <span class="ot">FALSE</span>, <span class="dt">size =</span> <span class="kw">I</span>(<span class="fl">1.2</span>))</code></pre>
<img 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" title="plot of chunk smallfacets" alt="plot of chunk smallfacets" width="600px" height="350px" />
</div>
<div class="section slide level1" id="we-can-also-facet-across-more-attributes">
<h1>We can also facet across more attributes</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">qplot</span>(readSS, mathSS, <span class="dt">data =</span> df) + <span class="kw">facet_grid</span>(ell ~ grade) + <span class="kw">theme_dpi</span>(<span class="dt">base_size =</span> <span class="dv">12</span>) +
<span class="kw">geom_smooth</span>(<span class="dt">method =</span> <span class="st">"lm"</span>, <span class="dt">se =</span> <span class="ot">FALSE</span>, <span class="dt">size =</span> <span class="kw">I</span>(<span class="fl">1.2</span>))</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk smallfacets2" alt="plot of chunk smallfacets2" width="600px" height="350px" />
</div>
<div class="section slide level1" id="visualizing-categorical-data">
<h1>Visualizing Categorical Data</h1>
<ul class="incremental">
<li>Visualization is not just limited to continuous data using scatterplots</li>
<li>Sometimes we want to look at the density of data in different categories</li>
<li>Sometimes we want to look at the size of groups compared to an expected group size</li>
<li>What are some other examples?</li>
</ul>
</div>
<div class="section slide level1" id="structural-plots">
<h1>Structural Plots</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(vcd)
df$proflvl <- <span class="kw">factor</span>(df$proflvl, <span class="dt">levels =</span> <span class="kw">c</span>(<span class="st">"advanced"</span>, <span class="st">"proficient"</span>, <span class="st">"basic"</span>,
<span class="st">"below basic"</span>))
a <- <span class="kw">structable</span>(proflvl ~ race, <span class="dt">data =</span> df)
<span class="kw">mosaic</span>(a, <span class="dt">shade =</span> <span class="ot">TRUE</span>)</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk strucplot" alt="plot of chunk strucplot" width="600px" height="350px" />
</div>
<div class="section slide level1" id="how-do-we-interpret-these-plots">
<h1>How do we interpret these plots?</h1>
<ul class="incremental">
<li>We use size and color to express proportionality and expected values</li>
<li>This can be applied to other areas as well</li>
</ul>
</div>
<div class="section slide level1" id="another-example">
<h1>Another example</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(vcd)
df$proflvl <- <span class="kw">factor</span>(df$proflvl, <span class="dt">levels =</span> <span class="kw">c</span>(<span class="st">"advanced"</span>, <span class="st">"proficient"</span>, <span class="st">"basic"</span>,
<span class="st">"below basic"</span>))
a <- <span class="kw">structable</span>(female ~ race, <span class="dt">data =</span> df)
<span class="kw">mosaic</span>(a, <span class="dt">shade =</span> <span class="ot">TRUE</span>)</code></pre>
<img src="data:image/png;base64,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" title="plot of chunk strucplot2" alt="plot of chunk strucplot2" width="600px" height="350px" />
</div>
<div class="section slide level1" id="a-few-pro-tips">
<h1>A few pro tips</h1>
<ul class="incremental">
<li>Don't be afraid to manipulate the data</li>
<li>Aggregate, combine, rescale variables to make the story easier to understand</li>
<li>Don't use too much color</li>
<li>People print your work, color blindness is more prevalent than you think</li>
<li>Color is fickle. Monitors and projectors reproduce it differently.</li>
<li>Don't overwhelm the user</li>
<li>Make your visual depictions as easy as possible to immediately understand that data</li>
<li>Don't plot everything all at once</li>
</ul>
</div>
<div class="section slide level1" id="colors-in-r">
<h1>Colors in R</h1>
<ul class="incremental">
<li>ggplot2 default colors are based on maximizing space between colors using HCL</li>
<li>Read more here: <a href="http://is-r.tumblr.com/post/34693674524/ggtutorial-day-3-introduction-to-colors">A tutorial on ggplot2 colors</a>; <a href="http://hclcolor.com">HCL color</a></li>
</ul>
<img src="data:image/png;base64,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" title="plot of chunk ggplot2colors" alt="plot of chunk ggplot2colors" width="600px" height="350px" />
</div>
<div class="section slide level1" id="the-r-colorspace-is-huge">
<h1>The R Colorspace is Huge</h1>
<img src="data:image/png;base64,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" title="plot of chunk colorwheel" alt="plot of chunk colorwheel" width="300px" height="240px" />
<pre><code>## [1] "plum" "violet" "darkmagenta" "magenta4" "magenta3"
## [6] "magenta2" "magenta" "magenta1" "orchid4" "orchid"</code></pre>
<img 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" title="plot of chunk colorwheel" alt="plot of chunk colorwheel" width="300px" height="240px" />
<pre><code>## [1] "salmon1" "darksalmon" "orangered4" "orangered3"
## [5] "coral" "orangered2" "orangered" "orangered1"
## [9] "lightsalmon2" "lightsalmon" "peru" "tan3"
## [13] "darkorange2" "darkorange4" "darkorange3" "darkorange1"
## [17] "linen" "bisque3" "bisque1" "bisque2"
## [21] "darkorange" "antiquewhite3" "antiquewhite1" "papayawhip"
## [25] "moccasin" "orange2" "orange" "orange1"
## [29] "orange4" "wheat4" "orange3" "wheat"
## [33] "oldlace"</code></pre>
<img 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" title="plot of chunk colorwheel" alt="plot of chunk colorwheel" width="300px" height="240px" />
<pre><code>## [1] "snow1" "snow2" "rosybrown" "rosybrown1" "rosybrown2"
## [6] "rosybrown3" "rosybrown4" "lightcoral" "indianred" "indianred1"
## [11] "indianred3" "brown" "brown4" "brown1" "brown3"
## [16] "brown2" "firebrick" "firebrick1" "chocolate" "chocolate4"
## [21] "saddlebrown" "seashell3" "seashell2" "seashell4" "sandybrown"
## [26] "peachpuff2" "peachpuff3"</code></pre>
</div>
<div class="section slide level1" id="some-practical-advice">
<h1>Some Practical Advice</h1>
<ul class="incremental">
<li>Use <a href="http://colorbrewer2.org/">ColorBrewer palettes</a>: Available by default in ggplot2</li>
<li>Designed for geographic mapping purposes to be easy to distinguish, easy to interpret across a diverse array of users, and sensitive to color-blindness</li>
<li>As easy in ggplot2 as adding any color scale: <code>+scale_color_brewer(palette"X")</code></li>
<li>You can choose from sequential palettes, diverging palettes, qualitative palettes,and many more--depending on how many colors you need and what makes sense in your data</li>
<li>Let's think about colors a little more together</li>
</ul>
</div>
<div class="section slide level1" id="above-and-beyond">
<h1>Above and Beyond</h1>
<img src="data:image/png;base64,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" title="plot of chunk premier" alt="plot of chunk premier" width="800px" height="520px" />
</div>
<div class="section slide level1" id="scary-r-code">
<h1>Scary R Code</h1>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">library</span>(grid)
p1<-<span class="kw">qplot</span>(readSS,..density..,<span class="dt">data=</span>df,<span class="dt">fill=</span>race,
<span class="dt">position=</span><span class="st">'fill'</span>,<span class="dt">geom=</span><span class="st">'density'</span>)+<span class="kw">scale_fill_brewer</span>(
<span class="dt">type=</span><span class="st">'qual'</span>,<span class="dt">palette=</span><span class="dv">2</span>)
p2<-<span class="kw">qplot</span>(readSS,..fill..,<span class="dt">data=</span>df,<span class="dt">fill=</span>race,
<span class="dt">position=</span><span class="st">'fill'</span>,<span class="dt">geom=</span><span class="st">'density'</span>)+<span class="kw">scale_fill_brewer</span>(
<span class="dt">type=</span><span class="st">'qual'</span>,<span class="dt">palette=</span><span class="dv">2</span>)+<span class="kw">ylim</span>(<span class="kw">c</span>(<span class="dv">0</span>,<span class="dv">1</span>))+<span class="kw">theme_bw</span>()+
<span class="kw">opts</span>(<span class="dt">legend.position=</span><span class="st">'none'</span>,
<span class="dt">axis.text.x=</span><span class="kw">theme_blank</span>(),
<span class="dt">axis.text.y=</span><span class="kw">theme_blank</span>(),
<span class="dt">axis.ticks=</span><span class="kw">theme_blank</span>(),
<span class="dt">panel.margin=</span><span class="kw">unit</span>(<span class="dv">0</span>,<span class="st">"lines"</span>))+<span class="kw">ylab</span>(<span class="st">''</span>)+
<span class="kw">xlab</span>(<span class="st">''</span>)
vp<-<span class="kw">viewport</span>(<span class="dt">x=</span><span class="kw">unit</span>(.<span class="dv">65</span>,<span class="st">"npc"</span>),<span class="dt">y=</span><span class="kw">unit</span>(.<span class="dv">73</span>,<span class="st">"npc"</span>),
<span class="dt">width=</span><span class="kw">unit</span>(.<span class="dv">2</span>,<span class="st">"npc"</span>),<span class="dt">height=</span><span class="kw">unit</span>(.<span class="dv">2</span>,<span class="st">"npc"</span>))
<span class="kw">print</span>(p1)
<span class="kw">print</span>(p2,<span class="dt">vp=</span>vp)</code></pre>
</div>
<div class="section slide level1" id="exercises">
<h1>Exercises</h1>
<ol class="incremental" style="list-style-type: decimal">
<li><p>Embed one plot in another plot in R using two different data elements from our data set. For example, plot a histogram of <code>readSS</code> inside a scatterplot of <code>readSS</code> and <code>mathSS</code></p></li>
<li><p>Explore some examples on the ggplot2 website. What are some ways to overlay more than 3 dimensions of data in a single plot?</p></li>
<li><p>What types of data work best for what types of visualizations?</p></li>
</ol>
</div>
<div class="section slide level1" id="references">
<h1>References</h1>
<ol class="incremental" style="list-style-type: decimal">
<li><a href="http://www.stat.yale.edu/~jay/JSM2012/PDFs/ggplot2.pdf">Hadley Wickham's JSM 2012 Presentation</a></li>
<li><a href="http://had.co.nz/ggplot2/resources/2007-vanderbilt.pdf">Hadley Wickam's ggplot2 Intro Presentation</a></li>
<li><a href="http://had.co.nz/ggplot2/">The ggplot2 Homepage</a></li>
<li><a href="http://had.co.nz/ggplot2/docs">ggplot2 Documentation</a></li>
<li><a href="http://www.statmethods.net/graphs/index.html">Quick R: Basic Graphs</a></li>
<li><a href="http://www.statmethods.net/advgraphs/index.html">Quick R: Advanced Graphs</a></li>
</ol>
</div>
<div class="section slide level1" id="session-info">
<h1>Session Info</h1>
<p>It is good to include the session info, e.g. this document is produced with <strong>knitr</strong> version 0.9.6. Here is my session info:</p>
<pre class="sourceCode r"><code class="sourceCode r"><span class="kw">print</span>(<span class="kw">sessionInfo</span>(), <span class="dt">locale =</span> <span class="ot">FALSE</span>)</code></pre>
<pre><code>## R version 2.15.2 (2012-10-26)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
##
## attached base packages:
## [1] splines grid stats graphics grDevices utils datasets
## [8] methods base
##
## other attached packages:
## [1] vcd_1.2-13 colorspace_1.2-0 MASS_7.3-22 Hmisc_3.10-1
## [5] survival_2.37-2 sandwich_2.2-9 quantreg_4.94 SparseM_0.96
## [9] gridExtra_0.9.1 mgcv_1.7-22 eeptools_0.1 mapproj_1.2-0
## [13] maps_2.3-0 proto_0.3-10 plyr_1.8 stringr_0.6.2
## [17] ggplot2_0.9.3 lmtest_0.9-30 zoo_1.7-9 knitr_0.9.6
##
## loaded via a namespace (and not attached):
## [1] cluster_1.14.3 codetools_0.2-8 dichromat_1.2-4
## [4] digest_0.6.0 evaluate_0.4.3 formatR_0.7
## [7] gtable_0.1.2 labeling_0.1 lattice_0.20-10
## [10] Matrix_1.0-10 munsell_0.4 nlme_3.1-106
## [13] RColorBrewer_1.0-5 reshape2_1.2.2 scales_0.2.3
## [16] tools_2.15.2</code></pre>
</div>
<div class="section slide level1" id="attribution-and-license">
<h1>Attribution and License</h1>
<p xmlns:dct="http://purl.org/dc/terms/">
<a rel="license" href="http://creativecommons.org/publicdomain/mark/1.0/"> <img src="data:image/png;base64,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" style="border-style: none;" alt="Public Domain Mark" /> </a> <br /> This work (<span property="dct:title">R Tutorial for Education</span>, by <a href="www.jaredknowles.com" rel="dct:creator"><span property="dct:title">Jared E. Knowles</span></a>), in service of the <a href="http://www.dpi.wi.gov" rel="dct:publisher"><span property="dct:title">Wisconsin Department of Public Instruction</span></a>, is free of known copyright restrictions.
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