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<!DOCTYPE html>
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<title>Preface | Statistical Inference via Data Science</title>
<meta name="description" content="An open-source and fully-reproducible electronic textbook for teaching statistical inference using tidyverse data science tools." />
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<meta name="twitter:description" content="An open-source and fully-reproducible electronic textbook for teaching statistical inference using tidyverse data science tools." />
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<meta name="author" content="Chester Ismay and Albert Y. Kim Foreword by Kelly S. McConville Adapted by William R. Morgan" />
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<li class="chapter" data-level="" data-path="index.html"><a href="index.html"><i class="fa fa-check"></i>Welcome to ModernDive</a></li>
<li class="chapter" data-level="" data-path="foreword.html"><a href="foreword.html"><i class="fa fa-check"></i>Foreword</a></li>
<li class="chapter" data-level="" data-path="preface.html"><a href="preface.html"><i class="fa fa-check"></i>Preface</a>
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<li class="chapter" data-level="" data-path="preface.html"><a href="preface.html#introduction-for-students"><i class="fa fa-check"></i>Introduction for students</a>
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<li class="chapter" data-level="" data-path="preface.html"><a href="preface.html#why-did-we-write-this-book"><i class="fa fa-check"></i>Why did we write this book?</a></li>
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<li class="chapter" data-level="" data-path="preface.html"><a href="preface.html#connect-and-contribute"><i class="fa fa-check"></i>Connect and contribute</a></li>
<li class="chapter" data-level="" data-path="preface.html"><a href="preface.html#acknowledgements"><i class="fa fa-check"></i>Acknowledgements</a></li>
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<li class="chapter" data-level="1" data-path="1-getting-started.html"><a href="1-getting-started.html"><i class="fa fa-check"></i><b>1</b> Getting Started with Data in R</a>
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<li class="chapter" data-level="1.1" data-path="1-getting-started.html"><a href="1-getting-started.html#r-rstudio"><i class="fa fa-check"></i><b>1.1</b> What are R and RStudio?</a>
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<li class="chapter" data-level="1.1.1" data-path="1-getting-started.html"><a href="1-getting-started.html#installing"><i class="fa fa-check"></i><b>1.1.1</b> Installing R and RStudio</a></li>
<li class="chapter" data-level="1.1.2" data-path="1-getting-started.html"><a href="1-getting-started.html#using-r-via-rstudio"><i class="fa fa-check"></i><b>1.1.2</b> Using R via RStudio</a></li>
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<li class="chapter" data-level="1.2" data-path="1-getting-started.html"><a href="1-getting-started.html#code"><i class="fa fa-check"></i><b>1.2</b> How do I code in R?</a>
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<li class="chapter" data-level="1.2.1" data-path="1-getting-started.html"><a href="1-getting-started.html#programming-concepts"><i class="fa fa-check"></i><b>1.2.1</b> Basic programming concepts and terminology</a></li>
<li class="chapter" data-level="1.2.2" data-path="1-getting-started.html"><a href="1-getting-started.html#messages"><i class="fa fa-check"></i><b>1.2.2</b> Errors, warnings, and messages</a></li>
<li class="chapter" data-level="1.2.3" data-path="1-getting-started.html"><a href="1-getting-started.html#tips-code"><i class="fa fa-check"></i><b>1.2.3</b> Tips on learning to code</a></li>
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<li class="chapter" data-level="1.3" data-path="1-getting-started.html"><a href="1-getting-started.html#packages"><i class="fa fa-check"></i><b>1.3</b> What are R packages?</a>
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<li class="chapter" data-level="1.3.1" data-path="1-getting-started.html"><a href="1-getting-started.html#package-installation"><i class="fa fa-check"></i><b>1.3.1</b> Package installation</a></li>
<li class="chapter" data-level="1.3.2" data-path="1-getting-started.html"><a href="1-getting-started.html#package-loading"><i class="fa fa-check"></i><b>1.3.2</b> Package loading</a></li>
<li class="chapter" data-level="1.3.3" data-path="1-getting-started.html"><a href="1-getting-started.html#package-use"><i class="fa fa-check"></i><b>1.3.3</b> Package use</a></li>
</ul></li>
<li class="chapter" data-level="1.4" data-path="1-getting-started.html"><a href="1-getting-started.html#rfishbase"><i class="fa fa-check"></i><b>1.4</b> Explore your first datasets</a>
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<li class="chapter" data-level="1.4.1" data-path="1-getting-started.html"><a href="1-getting-started.html#rfishpackage"><i class="fa fa-check"></i><b>1.4.1</b> <code>rfishbase</code> package</a></li>
<li class="chapter" data-level="1.4.2" data-path="1-getting-started.html"><a href="1-getting-started.html#fishbasedataframe"><i class="fa fa-check"></i><b>1.4.2</b> <code>fishbase</code> data frame</a></li>
<li class="chapter" data-level="1.4.3" data-path="1-getting-started.html"><a href="1-getting-started.html#exploredataframes"><i class="fa fa-check"></i><b>1.4.3</b> Exploring data frames</a></li>
<li class="chapter" data-level="1.4.4" data-path="1-getting-started.html"><a href="1-getting-started.html#identification-vs-measurement-variables"><i class="fa fa-check"></i><b>1.4.4</b> Identification and measurement variables</a></li>
<li class="chapter" data-level="1.4.5" data-path="1-getting-started.html"><a href="1-getting-started.html#help-files"><i class="fa fa-check"></i><b>1.4.5</b> Help files</a></li>
</ul></li>
<li class="chapter" data-level="1.5" data-path="1-getting-started.html"><a href="1-getting-started.html#conclusion"><i class="fa fa-check"></i><b>1.5</b> Conclusion</a>
<ul>
<li class="chapter" data-level="1.5.1" data-path="1-getting-started.html"><a href="1-getting-started.html#additional-resources"><i class="fa fa-check"></i><b>1.5.1</b> Additional resources</a></li>
<li class="chapter" data-level="1.5.2" data-path="1-getting-started.html"><a href="1-getting-started.html#whats-to-come"><i class="fa fa-check"></i><b>1.5.2</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="part"><span><b>I Data Science with tidyverse</b></span></li>
<li class="chapter" data-level="2" data-path="2-viz.html"><a href="2-viz.html"><i class="fa fa-check"></i><b>2</b> Data Visualization</a>
<ul>
<li class="chapter" data-level="" data-path="2-viz.html"><a href="2-viz.html#needed-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="2.1" data-path="2-viz.html"><a href="2-viz.html#grammarofgraphics"><i class="fa fa-check"></i><b>2.1</b> The grammar of graphics</a>
<ul>
<li class="chapter" data-level="2.1.1" data-path="2-viz.html"><a href="2-viz.html#components-of-the-grammar"><i class="fa fa-check"></i><b>2.1.1</b> Components of the grammar</a></li>
<li class="chapter" data-level="2.1.2" data-path="2-viz.html"><a href="2-viz.html#gapminder"><i class="fa fa-check"></i><b>2.1.2</b> Gapminder data</a></li>
<li class="chapter" data-level="2.1.3" data-path="2-viz.html"><a href="2-viz.html#other-components"><i class="fa fa-check"></i><b>2.1.3</b> Other components</a></li>
<li class="chapter" data-level="2.1.4" data-path="2-viz.html"><a href="2-viz.html#ggplot2-package"><i class="fa fa-check"></i><b>2.1.4</b> ggplot2 package</a></li>
</ul></li>
<li class="chapter" data-level="2.2" data-path="2-viz.html"><a href="2-viz.html#FiveNG"><i class="fa fa-check"></i><b>2.2</b> Five named graphs - the 5NG</a></li>
<li class="chapter" data-level="2.3" data-path="2-viz.html"><a href="2-viz.html#scatterplots"><i class="fa fa-check"></i><b>2.3</b> 5NG#1: Scatterplots</a>
<ul>
<li class="chapter" data-level="2.3.1" data-path="2-viz.html"><a href="2-viz.html#geompoint"><i class="fa fa-check"></i><b>2.3.1</b> Scatterplots via <code>geom_point</code></a></li>
<li class="chapter" data-level="2.3.2" data-path="2-viz.html"><a href="2-viz.html#overplotting"><i class="fa fa-check"></i><b>2.3.2</b> Overplotting</a></li>
<li class="chapter" data-level="2.3.3" data-path="2-viz.html"><a href="2-viz.html#summary"><i class="fa fa-check"></i><b>2.3.3</b> Summary</a></li>
</ul></li>
<li class="chapter" data-level="2.4" data-path="2-viz.html"><a href="2-viz.html#linegraphs"><i class="fa fa-check"></i><b>2.4</b> 5NG#2: Linegraphs</a>
<ul>
<li class="chapter" data-level="2.4.1" data-path="2-viz.html"><a href="2-viz.html#geomline"><i class="fa fa-check"></i><b>2.4.1</b> Linegraphs via <code>geom_line</code></a></li>
<li class="chapter" data-level="2.4.2" data-path="2-viz.html"><a href="2-viz.html#summary-1"><i class="fa fa-check"></i><b>2.4.2</b> Summary</a></li>
</ul></li>
<li class="chapter" data-level="2.5" data-path="2-viz.html"><a href="2-viz.html#facets"><i class="fa fa-check"></i><b>2.5</b> Facets</a></li>
<li class="chapter" data-level="2.6" data-path="2-viz.html"><a href="2-viz.html#histograms"><i class="fa fa-check"></i><b>2.6</b> 5NG#3: Histograms</a>
<ul>
<li class="chapter" data-level="2.6.1" data-path="2-viz.html"><a href="2-viz.html#geomhistogram"><i class="fa fa-check"></i><b>2.6.1</b> Histograms via <code>geom_histogram</code></a></li>
<li class="chapter" data-level="2.6.2" data-path="2-viz.html"><a href="2-viz.html#adjustbins"><i class="fa fa-check"></i><b>2.6.2</b> Adjusting the bins</a></li>
<li class="chapter" data-level="2.6.3" data-path="2-viz.html"><a href="2-viz.html#summary-2"><i class="fa fa-check"></i><b>2.6.3</b> Summary</a></li>
</ul></li>
<li class="chapter" data-level="2.7" data-path="2-viz.html"><a href="2-viz.html#boxplots"><i class="fa fa-check"></i><b>2.7</b> 5NG#4: Boxplots</a>
<ul>
<li class="chapter" data-level="2.7.1" data-path="2-viz.html"><a href="2-viz.html#geomboxplot"><i class="fa fa-check"></i><b>2.7.1</b> Boxplots via <code>geom_boxplot</code></a></li>
<li class="chapter" data-level="2.7.2" data-path="2-viz.html"><a href="2-viz.html#summary-3"><i class="fa fa-check"></i><b>2.7.2</b> Summary</a></li>
</ul></li>
<li class="chapter" data-level="2.8" data-path="2-viz.html"><a href="2-viz.html#geombar"><i class="fa fa-check"></i><b>2.8</b> 5NG#5: Barplots</a>
<ul>
<li class="chapter" data-level="2.8.1" data-path="2-viz.html"><a href="2-viz.html#barplots-via-geom_bar-or-geom_col"><i class="fa fa-check"></i><b>2.8.1</b> Barplots via <code>geom_bar</code> or <code>geom_col</code></a></li>
<li class="chapter" data-level="2.8.2" data-path="2-viz.html"><a href="2-viz.html#must-avoid-pie-charts"><i class="fa fa-check"></i><b>2.8.2</b> Must avoid pie charts!</a></li>
<li class="chapter" data-level="2.8.3" data-path="2-viz.html"><a href="2-viz.html#two-categ-barplot"><i class="fa fa-check"></i><b>2.8.3</b> Two categorical variables</a></li>
<li class="chapter" data-level="2.8.4" data-path="2-viz.html"><a href="2-viz.html#summary-4"><i class="fa fa-check"></i><b>2.8.4</b> Summary</a></li>
</ul></li>
<li class="chapter" data-level="2.9" data-path="2-viz.html"><a href="2-viz.html#data-vis-conclusion"><i class="fa fa-check"></i><b>2.9</b> Conclusion</a>
<ul>
<li class="chapter" data-level="2.9.1" data-path="2-viz.html"><a href="2-viz.html#summary-table"><i class="fa fa-check"></i><b>2.9.1</b> Summary table</a></li>
<li class="chapter" data-level="2.9.2" data-path="2-viz.html"><a href="2-viz.html#function-argument-specification"><i class="fa fa-check"></i><b>2.9.2</b> Function argument specification</a></li>
<li class="chapter" data-level="2.9.3" data-path="2-viz.html"><a href="2-viz.html#additional-resources-1"><i class="fa fa-check"></i><b>2.9.3</b> Additional resources</a></li>
<li class="chapter" data-level="2.9.4" data-path="2-viz.html"><a href="2-viz.html#whats-to-come-3"><i class="fa fa-check"></i><b>2.9.4</b> What’s to come</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="3" data-path="3-wrangling.html"><a href="3-wrangling.html"><i class="fa fa-check"></i><b>3</b> Data Wrangling</a>
<ul>
<li class="chapter" data-level="" data-path="3-wrangling.html"><a href="3-wrangling.html#wrangling-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="3.1" data-path="3-wrangling.html"><a href="3-wrangling.html#piping"><i class="fa fa-check"></i><b>3.1</b> The pipe operator: <code>%>%</code></a></li>
<li class="chapter" data-level="3.2" data-path="3-wrangling.html"><a href="3-wrangling.html#filter"><i class="fa fa-check"></i><b>3.2</b> <code>filter</code> rows</a></li>
<li class="chapter" data-level="3.3" data-path="3-wrangling.html"><a href="3-wrangling.html#slice-rows"><i class="fa fa-check"></i><b>3.3</b> <code>slice</code> rows</a></li>
<li class="chapter" data-level="3.4" data-path="3-wrangling.html"><a href="3-wrangling.html#select"><i class="fa fa-check"></i><b>3.4</b> <code>select</code> variables</a>
<ul>
<li class="chapter" data-level="3.4.1" data-path="3-wrangling.html"><a href="3-wrangling.html#rename"><i class="fa fa-check"></i><b>3.4.1</b> <code>rename</code> variables</a></li>
</ul></li>
<li class="chapter" data-level="3.5" data-path="3-wrangling.html"><a href="3-wrangling.html#summarize"><i class="fa fa-check"></i><b>3.5</b> <code>summarize</code> variables</a></li>
<li class="chapter" data-level="3.6" data-path="3-wrangling.html"><a href="3-wrangling.html#groupby"><i class="fa fa-check"></i><b>3.6</b> <code>group_by</code> rows</a>
<ul>
<li class="chapter" data-level="3.6.1" data-path="3-wrangling.html"><a href="3-wrangling.html#grouping-by-more-than-one-variable"><i class="fa fa-check"></i><b>3.6.1</b> Grouping by more than one variable</a></li>
</ul></li>
<li class="chapter" data-level="3.7" data-path="3-wrangling.html"><a href="3-wrangling.html#mutate"><i class="fa fa-check"></i><b>3.7</b> <code>mutate</code> existing variables</a></li>
<li class="chapter" data-level="3.8" data-path="3-wrangling.html"><a href="3-wrangling.html#arrange"><i class="fa fa-check"></i><b>3.8</b> <code>arrange</code> and sort rows</a></li>
<li class="chapter" data-level="3.9" data-path="3-wrangling.html"><a href="3-wrangling.html#joins"><i class="fa fa-check"></i><b>3.9</b> <code>join</code> data frames</a></li>
<li class="chapter" data-level="3.10" data-path="3-wrangling.html"><a href="3-wrangling.html#wrangling-conclusion"><i class="fa fa-check"></i><b>3.10</b> Conclusion</a>
<ul>
<li class="chapter" data-level="3.10.1" data-path="3-wrangling.html"><a href="3-wrangling.html#summary-table-1"><i class="fa fa-check"></i><b>3.10.1</b> Summary table</a></li>
<li class="chapter" data-level="3.10.2" data-path="3-wrangling.html"><a href="3-wrangling.html#additional-resources-2"><i class="fa fa-check"></i><b>3.10.2</b> Additional resources</a></li>
<li class="chapter" data-level="3.10.3" data-path="3-wrangling.html"><a href="3-wrangling.html#whats-to-come-1"><i class="fa fa-check"></i><b>3.10.3</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="4" data-path="4-tidy.html"><a href="4-tidy.html"><i class="fa fa-check"></i><b>4</b> Data Importing and “Tidy” Data</a>
<ul>
<li class="chapter" data-level="" data-path="4-tidy.html"><a href="4-tidy.html#tidy-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="4.1" data-path="4-tidy.html"><a href="4-tidy.html#csv"><i class="fa fa-check"></i><b>4.1</b> Importing data</a>
<ul>
<li class="chapter" data-level="4.1.1" data-path="4-tidy.html"><a href="4-tidy.html#using-the-console"><i class="fa fa-check"></i><b>4.1.1</b> Using the console</a></li>
<li class="chapter" data-level="4.1.2" data-path="4-tidy.html"><a href="4-tidy.html#using-rstudios-interface"><i class="fa fa-check"></i><b>4.1.2</b> Using RStudio’s interface</a></li>
</ul></li>
<li class="chapter" data-level="4.2" data-path="4-tidy.html"><a href="4-tidy.html#tidy-data-ex"><i class="fa fa-check"></i><b>4.2</b> “Tidy” data</a>
<ul>
<li class="chapter" data-level="4.2.1" data-path="4-tidy.html"><a href="4-tidy.html#tidy-definition"><i class="fa fa-check"></i><b>4.2.1</b> Definition of “tidy” data</a></li>
<li class="chapter" data-level="4.2.2" data-path="4-tidy.html"><a href="4-tidy.html#converting-to-tidy-data"><i class="fa fa-check"></i><b>4.2.2</b> Converting to “tidy” data</a></li>
</ul></li>
<li class="chapter" data-level="4.3" data-path="4-tidy.html"><a href="4-tidy.html#case-study-tidy"><i class="fa fa-check"></i><b>4.3</b> Case study: Weight loss data</a></li>
<li class="chapter" data-level="4.4" data-path="4-tidy.html"><a href="4-tidy.html#tidyverse-package"><i class="fa fa-check"></i><b>4.4</b> <code>tidyverse</code> package</a></li>
<li class="chapter" data-level="4.5" data-path="4-tidy.html"><a href="4-tidy.html#tidy-data-conclusion"><i class="fa fa-check"></i><b>4.5</b> Conclusion</a>
<ul>
<li class="chapter" data-level="4.5.1" data-path="4-tidy.html"><a href="4-tidy.html#additional-resources-3"><i class="fa fa-check"></i><b>4.5.1</b> Additional resources</a></li>
<li class="chapter" data-level="4.5.2" data-path="4-tidy.html"><a href="4-tidy.html#whats-to-come-2"><i class="fa fa-check"></i><b>4.5.2</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="part"><span><b>II Data Modeling with moderndive</b></span></li>
<li class="chapter" data-level="5" data-path="5-regression.html"><a href="5-regression.html"><i class="fa fa-check"></i><b>5</b> Basic Regression</a>
<ul>
<li class="chapter" data-level="" data-path="5-regression.html"><a href="5-regression.html#reg-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="5.1" data-path="5-regression.html"><a href="5-regression.html#model1"><i class="fa fa-check"></i><b>5.1</b> One numerical explanatory variable</a>
<ul>
<li class="chapter" data-level="5.1.1" data-path="5-regression.html"><a href="5-regression.html#model1EDA"><i class="fa fa-check"></i><b>5.1.1</b> Exploratory data analysis</a></li>
<li class="chapter" data-level="5.1.2" data-path="5-regression.html"><a href="5-regression.html#model1table"><i class="fa fa-check"></i><b>5.1.2</b> Simple linear regression</a></li>
<li class="chapter" data-level="5.1.3" data-path="5-regression.html"><a href="5-regression.html#model1points"><i class="fa fa-check"></i><b>5.1.3</b> Observed/fitted values and residuals</a></li>
</ul></li>
<li class="chapter" data-level="5.2" data-path="5-regression.html"><a href="5-regression.html#model2"><i class="fa fa-check"></i><b>5.2</b> One categorical explanatory variable</a>
<ul>
<li class="chapter" data-level="5.2.1" data-path="5-regression.html"><a href="5-regression.html#model2EDA"><i class="fa fa-check"></i><b>5.2.1</b> Exploratory data analysis</a></li>
<li class="chapter" data-level="5.2.2" data-path="5-regression.html"><a href="5-regression.html#model2table"><i class="fa fa-check"></i><b>5.2.2</b> Linear regression</a></li>
<li class="chapter" data-level="5.2.3" data-path="5-regression.html"><a href="5-regression.html#model2points"><i class="fa fa-check"></i><b>5.2.3</b> Observed/fitted values and residuals</a></li>
</ul></li>
<li class="chapter" data-level="5.3" data-path="5-regression.html"><a href="5-regression.html#reg-related-topics"><i class="fa fa-check"></i><b>5.3</b> Related topics</a>
<ul>
<li class="chapter" data-level="5.3.1" data-path="5-regression.html"><a href="5-regression.html#correlation-is-not-causation"><i class="fa fa-check"></i><b>5.3.1</b> Correlation is not necessarily causation</a></li>
<li class="chapter" data-level="5.3.2" data-path="5-regression.html"><a href="5-regression.html#leastsquares"><i class="fa fa-check"></i><b>5.3.2</b> Best-fitting line</a></li>
<li class="chapter" data-level="5.3.3" data-path="5-regression.html"><a href="5-regression.html#underthehood"><i class="fa fa-check"></i><b>5.3.3</b> <code>get_regression_x()</code> functions</a></li>
</ul></li>
<li class="chapter" data-level="5.4" data-path="5-regression.html"><a href="5-regression.html#reg-conclusion"><i class="fa fa-check"></i><b>5.4</b> Conclusion</a>
<ul>
<li class="chapter" data-level="5.4.1" data-path="5-regression.html"><a href="5-regression.html#additional-resources-basic-regression"><i class="fa fa-check"></i><b>5.4.1</b> Additional resources</a></li>
<li class="chapter" data-level="5.4.2" data-path="5-regression.html"><a href="5-regression.html#whats-to-come-4"><i class="fa fa-check"></i><b>5.4.2</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="6" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html"><i class="fa fa-check"></i><b>6</b> Multiple Regression</a>
<ul>
<li class="chapter" data-level="" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#mult-reg-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="6.1" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model4"><i class="fa fa-check"></i><b>6.1</b> One numerical and one categorical explanatory variable</a>
<ul>
<li class="chapter" data-level="6.1.1" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model4EDA"><i class="fa fa-check"></i><b>6.1.1</b> Exploratory data analysis</a></li>
<li class="chapter" data-level="6.1.2" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model4interactiontable"><i class="fa fa-check"></i><b>6.1.2</b> Interaction model</a></li>
<li class="chapter" data-level="6.1.3" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model4table"><i class="fa fa-check"></i><b>6.1.3</b> Parallel slopes model</a></li>
<li class="chapter" data-level="6.1.4" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model4points"><i class="fa fa-check"></i><b>6.1.4</b> Observed/fitted values and residuals</a></li>
</ul></li>
<li class="chapter" data-level="6.2" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model3"><i class="fa fa-check"></i><b>6.2</b> Two categorical explanatory variables</a>
<ul>
<li class="chapter" data-level="6.2.1" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model3EDA"><i class="fa fa-check"></i><b>6.2.1</b> Exploratory data analysis</a></li>
<li class="chapter" data-level="6.2.2" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model3table"><i class="fa fa-check"></i><b>6.2.2</b> Regression lines</a></li>
<li class="chapter" data-level="6.2.3" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model3points"><i class="fa fa-check"></i><b>6.2.3</b> Observed/fitted values and residuals</a></li>
</ul></li>
<li class="chapter" data-level="6.3" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#mult-reg-related-topics"><i class="fa fa-check"></i><b>6.3</b> Related topics</a>
<ul>
<li class="chapter" data-level="6.3.1" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#model-selection"><i class="fa fa-check"></i><b>6.3.1</b> Model selection using visualizations</a></li>
<li class="chapter" data-level="6.3.2" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#rsquared"><i class="fa fa-check"></i><b>6.3.2</b> Model selection using R-squared</a></li>
</ul></li>
<li class="chapter" data-level="6.4" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#mult-reg-conclusion"><i class="fa fa-check"></i><b>6.4</b> Conclusion</a>
<ul>
<li class="chapter" data-level="6.4.1" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#additional-resources-4"><i class="fa fa-check"></i><b>6.4.1</b> Additional resources</a></li>
<li class="chapter" data-level="6.4.2" data-path="6-multiple-regression.html"><a href="6-multiple-regression.html#whats-to-come-5"><i class="fa fa-check"></i><b>6.4.2</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="part"><span><b>III Statistical Inference with infer</b></span></li>
<li class="chapter" data-level="7" data-path="7-sampling.html"><a href="7-sampling.html"><i class="fa fa-check"></i><b>7</b> Sampling</a>
<ul>
<li class="chapter" data-level="" data-path="7-sampling.html"><a href="7-sampling.html#sampling-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="7.1" data-path="7-sampling.html"><a href="7-sampling.html#sampling-activity"><i class="fa fa-check"></i><b>7.1</b> Sampling bowl activity</a>
<ul>
<li class="chapter" data-level="7.1.1" data-path="7-sampling.html"><a href="7-sampling.html#what-proportion-of-this-bowls-balls-are-red"><i class="fa fa-check"></i><b>7.1.1</b> What proportion of this bowl’s balls are red?</a></li>
<li class="chapter" data-level="7.1.2" data-path="7-sampling.html"><a href="7-sampling.html#using-the-shovel-once"><i class="fa fa-check"></i><b>7.1.2</b> Using the shovel once</a></li>
<li class="chapter" data-level="7.1.3" data-path="7-sampling.html"><a href="7-sampling.html#student-shovels"><i class="fa fa-check"></i><b>7.1.3</b> Using the shovel 33 times</a></li>
<li class="chapter" data-level="7.1.4" data-path="7-sampling.html"><a href="7-sampling.html#sampling-what-did-we-just-do"><i class="fa fa-check"></i><b>7.1.4</b> What did we just do?</a></li>
</ul></li>
<li class="chapter" data-level="7.2" data-path="7-sampling.html"><a href="7-sampling.html#sampling-simulation"><i class="fa fa-check"></i><b>7.2</b> Virtual sampling</a>
<ul>
<li class="chapter" data-level="7.2.1" data-path="7-sampling.html"><a href="7-sampling.html#using-the-virtual-shovel-once"><i class="fa fa-check"></i><b>7.2.1</b> Using the virtual shovel once</a></li>
</ul></li>
<li class="chapter" data-level="7.3" data-path="7-sampling.html"><a href="7-sampling.html#sampling-framework"><i class="fa fa-check"></i><b>7.3</b> Sampling framework</a>
<ul>
<li class="chapter" data-level="7.3.1" data-path="7-sampling.html"><a href="7-sampling.html#terminology-and-notation"><i class="fa fa-check"></i><b>7.3.1</b> Terminology and notation</a></li>
<li class="chapter" data-level="7.3.2" data-path="7-sampling.html"><a href="7-sampling.html#sampling-definitions"><i class="fa fa-check"></i><b>7.3.2</b> Statistical definitions</a></li>
<li class="chapter" data-level="7.3.3" data-path="7-sampling.html"><a href="7-sampling.html#moral-of-the-story"><i class="fa fa-check"></i><b>7.3.3</b> The moral of the story</a></li>
</ul></li>
<li class="chapter" data-level="7.4" data-path="7-sampling.html"><a href="7-sampling.html#sampling-case-study"><i class="fa fa-check"></i><b>7.4</b> Case study: Polls</a></li>
<li class="chapter" data-level="7.5" data-path="7-sampling.html"><a href="7-sampling.html#sampling-conclusion-central-limit-theorem"><i class="fa fa-check"></i><b>7.5</b> Central Limit Theorem</a></li>
<li class="chapter" data-level="7.6" data-path="7-sampling.html"><a href="7-sampling.html#sampling-conclusion"><i class="fa fa-check"></i><b>7.6</b> Conclusion</a>
<ul>
<li class="chapter" data-level="7.6.1" data-path="7-sampling.html"><a href="7-sampling.html#sampling-conclusion-table"><i class="fa fa-check"></i><b>7.6.1</b> Sampling scenarios</a></li>
<li class="chapter" data-level="7.6.2" data-path="7-sampling.html"><a href="7-sampling.html#additional-resources-5"><i class="fa fa-check"></i><b>7.6.2</b> Additional resources</a></li>
<li class="chapter" data-level="7.6.3" data-path="7-sampling.html"><a href="7-sampling.html#whats-to-come-6"><i class="fa fa-check"></i><b>7.6.3</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="8" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html"><i class="fa fa-check"></i><b>8</b> Bootstrapping and Confidence Intervals</a>
<ul>
<li class="chapter" data-level="" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#CI-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="8.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#resampling-tactile"><i class="fa fa-check"></i><b>8.1</b> Pennies activity</a>
<ul>
<li class="chapter" data-level="8.1.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#what-is-the-average-year-on-us-pennies-in-2019"><i class="fa fa-check"></i><b>8.1.1</b> What is the average year on US pennies in 2019?</a></li>
<li class="chapter" data-level="8.1.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#resampling-once"><i class="fa fa-check"></i><b>8.1.2</b> Resampling once</a></li>
<li class="chapter" data-level="8.1.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#student-resamples"><i class="fa fa-check"></i><b>8.1.3</b> Resampling 35 times</a></li>
<li class="chapter" data-level="8.1.4" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#ci-what-did-we-just-do"><i class="fa fa-check"></i><b>8.1.4</b> What did we just do?</a></li>
</ul></li>
<li class="chapter" data-level="8.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#resampling-simulation"><i class="fa fa-check"></i><b>8.2</b> Computer simulation of resampling</a>
<ul>
<li class="chapter" data-level="8.2.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#virtually-resampling-once"><i class="fa fa-check"></i><b>8.2.1</b> Virtually resampling once</a></li>
<li class="chapter" data-level="8.2.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#bootstrap-35-replicates"><i class="fa fa-check"></i><b>8.2.2</b> Virtually resampling 35 times</a></li>
<li class="chapter" data-level="8.2.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#bootstrap-1000-replicates"><i class="fa fa-check"></i><b>8.2.3</b> Virtually resampling 1000 times</a></li>
</ul></li>
<li class="chapter" data-level="8.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#ci-build-up"><i class="fa fa-check"></i><b>8.3</b> Understanding confidence intervals</a>
<ul>
<li class="chapter" data-level="8.3.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#percentile-method"><i class="fa fa-check"></i><b>8.3.1</b> Percentile method</a></li>
<li class="chapter" data-level="8.3.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#se-method"><i class="fa fa-check"></i><b>8.3.2</b> Standard error method</a></li>
</ul></li>
<li class="chapter" data-level="8.4" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#bootstrap-process"><i class="fa fa-check"></i><b>8.4</b> Constructing confidence intervals</a>
<ul>
<li class="chapter" data-level="8.4.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#original-workflow"><i class="fa fa-check"></i><b>8.4.1</b> Original workflow</a></li>
<li class="chapter" data-level="8.4.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#infer-workflow"><i class="fa fa-check"></i><b>8.4.2</b> <code>infer</code> package workflow</a></li>
<li class="chapter" data-level="8.4.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#percentile-method-infer"><i class="fa fa-check"></i><b>8.4.3</b> Percentile method with <code>infer</code></a></li>
<li class="chapter" data-level="8.4.4" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#infer-se"><i class="fa fa-check"></i><b>8.4.4</b> Standard error method with <code>infer</code></a></li>
</ul></li>
<li class="chapter" data-level="8.5" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#one-prop-ci"><i class="fa fa-check"></i><b>8.5</b> Interpreting confidence intervals</a>
<ul>
<li class="chapter" data-level="8.5.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#ilyas-yohan"><i class="fa fa-check"></i><b>8.5.1</b> Did the net capture the fish?</a></li>
<li class="chapter" data-level="8.5.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#shorthand"><i class="fa fa-check"></i><b>8.5.2</b> Precise and shorthand interpretation</a></li>
<li class="chapter" data-level="8.5.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#ci-width"><i class="fa fa-check"></i><b>8.5.3</b> Width of confidence intervals</a></li>
</ul></li>
<li class="chapter" data-level="8.6" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#case-study-two-prop-ci"><i class="fa fa-check"></i><b>8.6</b> Case study: Is yawning contagious?</a>
<ul>
<li class="chapter" data-level="8.6.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#mythbusters-study-data"><i class="fa fa-check"></i><b>8.6.1</b> <em>Mythbusters</em> study data</a></li>
<li class="chapter" data-level="8.6.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#sampling-scenario"><i class="fa fa-check"></i><b>8.6.2</b> Sampling scenario</a></li>
<li class="chapter" data-level="8.6.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#ci-build"><i class="fa fa-check"></i><b>8.6.3</b> Constructing the confidence interval</a></li>
<li class="chapter" data-level="8.6.4" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#interpreting-the-confidence-interval"><i class="fa fa-check"></i><b>8.6.4</b> Interpreting the confidence interval</a></li>
</ul></li>
<li class="chapter" data-level="8.7" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#ci-conclusion"><i class="fa fa-check"></i><b>8.7</b> Conclusion</a>
<ul>
<li class="chapter" data-level="8.7.1" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#bootstrap-vs-sampling"><i class="fa fa-check"></i><b>8.7.1</b> Comparing bootstrap and sampling distributions</a></li>
<li class="chapter" data-level="8.7.2" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#theory-ci"><i class="fa fa-check"></i><b>8.7.2</b> Theory-based confidence intervals</a></li>
<li class="chapter" data-level="8.7.3" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#additional-resources-6"><i class="fa fa-check"></i><b>8.7.3</b> Additional resources</a></li>
<li class="chapter" data-level="8.7.4" data-path="8-confidence-intervals.html"><a href="8-confidence-intervals.html#whats-to-come-7"><i class="fa fa-check"></i><b>8.7.4</b> What’s to come?</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="9" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html"><i class="fa fa-check"></i><b>9</b> Hypothesis Testing</a>
<ul>
<li class="chapter" data-level="" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#nhst-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="9.1" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#ht-activity"><i class="fa fa-check"></i><b>9.1</b> Promotions activity</a>
<ul>
<li class="chapter" data-level="9.1.1" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#does-gender-affect-promotions-at-a-bank"><i class="fa fa-check"></i><b>9.1.1</b> Does gender affect promotions at a bank?</a></li>
<li class="chapter" data-level="9.1.2" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#shuffling-once"><i class="fa fa-check"></i><b>9.1.2</b> Shuffling once</a></li>
<li class="chapter" data-level="9.1.3" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#shuffling-16-times"><i class="fa fa-check"></i><b>9.1.3</b> Shuffling 16 times</a></li>
<li class="chapter" data-level="9.1.4" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#ht-what-did-we-just-do"><i class="fa fa-check"></i><b>9.1.4</b> What did we just do?</a></li>
</ul></li>
<li class="chapter" data-level="9.2" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#understanding-ht"><i class="fa fa-check"></i><b>9.2</b> Understanding hypothesis tests</a></li>
<li class="chapter" data-level="9.3" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#ht-infer"><i class="fa fa-check"></i><b>9.3</b> Conducting hypothesis tests</a>
<ul>
<li class="chapter" data-level="9.3.1" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#infer-workflow-ht"><i class="fa fa-check"></i><b>9.3.1</b> <code>infer</code> package workflow</a></li>
<li class="chapter" data-level="9.3.2" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#comparing-infer-workflows"><i class="fa fa-check"></i><b>9.3.2</b> Comparison with confidence intervals</a></li>
<li class="chapter" data-level="9.3.3" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#only-one-test"><i class="fa fa-check"></i><b>9.3.3</b> “There is only one test”</a></li>
</ul></li>
<li class="chapter" data-level="9.4" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#ht-interpretation"><i class="fa fa-check"></i><b>9.4</b> Interpreting hypothesis tests</a>
<ul>
<li class="chapter" data-level="9.4.1" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#trial"><i class="fa fa-check"></i><b>9.4.1</b> Two possible outcomes</a></li>
<li class="chapter" data-level="9.4.2" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#types-of-errors"><i class="fa fa-check"></i><b>9.4.2</b> Types of errors</a></li>
<li class="chapter" data-level="9.4.3" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#choosing-alpha"><i class="fa fa-check"></i><b>9.4.3</b> How do we choose alpha?</a></li>
</ul></li>
<li class="chapter" data-level="9.5" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#ht-case-study"><i class="fa fa-check"></i><b>9.5</b> Case study: Are action or romance movies rated higher?</a>
<ul>
<li class="chapter" data-level="9.5.1" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#imdb-data"><i class="fa fa-check"></i><b>9.5.1</b> IMDb ratings data</a></li>
<li class="chapter" data-level="9.5.2" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#sampling-scenario-1"><i class="fa fa-check"></i><b>9.5.2</b> Sampling scenario</a></li>
<li class="chapter" data-level="9.5.3" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#conducting-the-hypothesis-test"><i class="fa fa-check"></i><b>9.5.3</b> Conducting the hypothesis test</a></li>
</ul></li>
<li class="chapter" data-level="9.6" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#nhst-conclusion"><i class="fa fa-check"></i><b>9.6</b> Conclusion</a>
<ul>
<li class="chapter" data-level="9.6.1" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#theory-hypo"><i class="fa fa-check"></i><b>9.6.1</b> Theory-based hypothesis tests</a></li>
<li class="chapter" data-level="9.6.2" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#when-inference-is-not-needed"><i class="fa fa-check"></i><b>9.6.2</b> When inference is not needed</a></li>
<li class="chapter" data-level="9.6.3" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#problems-with-p-values"><i class="fa fa-check"></i><b>9.6.3</b> Problems with p-values</a></li>
<li class="chapter" data-level="9.6.4" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#additional-resources-7"><i class="fa fa-check"></i><b>9.6.4</b> Additional resources</a></li>
<li class="chapter" data-level="9.6.5" data-path="9-hypothesis-testing.html"><a href="9-hypothesis-testing.html#whats-to-come-8"><i class="fa fa-check"></i><b>9.6.5</b> What’s to come</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="10" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html"><i class="fa fa-check"></i><b>10</b> Inference for Regression</a>
<ul>
<li class="chapter" data-level="" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#inf-packages"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="10.1" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#regression-refresher"><i class="fa fa-check"></i><b>10.1</b> Regression refresher</a>
<ul>
<li class="chapter" data-level="10.1.1" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#teaching-evaluations-analysis"><i class="fa fa-check"></i><b>10.1.1</b> Teaching evaluations analysis</a></li>
<li class="chapter" data-level="10.1.2" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#sampling-scenario-2"><i class="fa fa-check"></i><b>10.1.2</b> Sampling scenario</a></li>
</ul></li>
<li class="chapter" data-level="10.2" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#regression-interp"><i class="fa fa-check"></i><b>10.2</b> Interpreting regression tables</a>
<ul>
<li class="chapter" data-level="10.2.1" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#regression-se"><i class="fa fa-check"></i><b>10.2.1</b> Standard error</a></li>
<li class="chapter" data-level="10.2.2" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#regression-test-statistic"><i class="fa fa-check"></i><b>10.2.2</b> Test statistic</a></li>
<li class="chapter" data-level="10.2.3" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#p-value"><i class="fa fa-check"></i><b>10.2.3</b> p-value</a></li>
<li class="chapter" data-level="10.2.4" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#confidence-interval"><i class="fa fa-check"></i><b>10.2.4</b> Confidence interval</a></li>
<li class="chapter" data-level="10.2.5" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#regression-table-computation"><i class="fa fa-check"></i><b>10.2.5</b> How does R compute the table?</a></li>
</ul></li>
<li class="chapter" data-level="10.3" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#regression-conditions"><i class="fa fa-check"></i><b>10.3</b> Conditions for inference for regression</a>
<ul>
<li class="chapter" data-level="10.3.1" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#residuals-refresher"><i class="fa fa-check"></i><b>10.3.1</b> Residuals refresher</a></li>
<li class="chapter" data-level="10.3.2" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#linearity-of-relationship"><i class="fa fa-check"></i><b>10.3.2</b> Linearity of relationship</a></li>
<li class="chapter" data-level="10.3.3" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#independence-of-residuals"><i class="fa fa-check"></i><b>10.3.3</b> Independence of residuals</a></li>
<li class="chapter" data-level="10.3.4" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#normality-of-residuals"><i class="fa fa-check"></i><b>10.3.4</b> Normality of residuals</a></li>
<li class="chapter" data-level="10.3.5" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#equality-of-variance"><i class="fa fa-check"></i><b>10.3.5</b> Equality of variance</a></li>
<li class="chapter" data-level="10.3.6" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#what-is-the-conclusion"><i class="fa fa-check"></i><b>10.3.6</b> What’s the conclusion?</a></li>
</ul></li>
<li class="chapter" data-level="10.4" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#infer-regression"><i class="fa fa-check"></i><b>10.4</b> Simulation-based inference for regression</a>
<ul>
<li class="chapter" data-level="10.4.1" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#confidence-interval-for-slope"><i class="fa fa-check"></i><b>10.4.1</b> Confidence interval for slope</a></li>
<li class="chapter" data-level="10.4.2" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#hypothesis-test-for-slope"><i class="fa fa-check"></i><b>10.4.2</b> Hypothesis test for slope</a></li>
</ul></li>
<li class="chapter" data-level="10.5" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#inference-conclusion"><i class="fa fa-check"></i><b>10.5</b> Conclusion</a>
<ul>
<li class="chapter" data-level="10.5.1" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#theory-regression"><i class="fa fa-check"></i><b>10.5.1</b> Theory-based inference for regression</a></li>
<li class="chapter" data-level="10.5.2" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#summary-of-statistical-inference"><i class="fa fa-check"></i><b>10.5.2</b> Summary of statistical inference</a></li>
<li class="chapter" data-level="10.5.3" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#additional-resources-8"><i class="fa fa-check"></i><b>10.5.3</b> Additional resources</a></li>
<li class="chapter" data-level="10.5.4" data-path="10-inference-for-regression.html"><a href="10-inference-for-regression.html#whats-to-come-9"><i class="fa fa-check"></i><b>10.5.4</b> What’s to come</a></li>
</ul></li>
</ul></li>
<li class="part"><span><b>IV Conclusion</b></span></li>
<li class="chapter" data-level="11" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html"><i class="fa fa-check"></i><b>11</b> Tell Your Story with Data</a>
<ul>
<li class="chapter" data-level="11.1" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#review"><i class="fa fa-check"></i><b>11.1</b> Review</a>
<ul>
<li class="chapter" data-level="" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#story-packages"><i class="fa fa-check"></i>Needed packages</a></li>
</ul></li>
<li class="chapter" data-level="11.2" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#seattle-house-prices"><i class="fa fa-check"></i><b>11.2</b> Case study: Seattle house prices</a>
<ul>
<li class="chapter" data-level="11.2.1" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#house-prices-EDA-I"><i class="fa fa-check"></i><b>11.2.1</b> Exploratory data analysis: Part I</a></li>
<li class="chapter" data-level="11.2.2" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#house-prices-EDA-II"><i class="fa fa-check"></i><b>11.2.2</b> Exploratory data analysis: Part II</a></li>
<li class="chapter" data-level="11.2.3" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#house-prices-regression"><i class="fa fa-check"></i><b>11.2.3</b> Regression modeling</a></li>
<li class="chapter" data-level="11.2.4" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#house-prices-making-predictions"><i class="fa fa-check"></i><b>11.2.4</b> Making predictions</a></li>
</ul></li>
<li class="chapter" data-level="11.3" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#data-journalism"><i class="fa fa-check"></i><b>11.3</b> Case study: Effective data storytelling</a>
<ul>
<li class="chapter" data-level="11.3.1" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#bechdel-test-for-hollywood-gender-representation"><i class="fa fa-check"></i><b>11.3.1</b> Bechdel test for Hollywood gender representation</a></li>
<li class="chapter" data-level="11.3.2" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#us-births-in-1999"><i class="fa fa-check"></i><b>11.3.2</b> US Births in 1999</a></li>
<li class="chapter" data-level="11.3.3" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#scripts-of-r-code"><i class="fa fa-check"></i><b>11.3.3</b> Scripts of R code</a></li>
</ul></li>
<li class="chapter" data-level="" data-path="11-thinking-with-data.html"><a href="11-thinking-with-data.html#concluding-remarks"><i class="fa fa-check"></i>Concluding remarks</a></li>
</ul></li>
<li class="appendix"><span><b>Appendix</b></span></li>
<li class="chapter" data-level="A" data-path="A-appendixA.html"><a href="A-appendixA.html"><i class="fa fa-check"></i><b>A</b> Statistical Background</a>
<ul>
<li class="chapter" data-level="A.1" data-path="A-appendixA.html"><a href="A-appendixA.html#appendix-stat-terms"><i class="fa fa-check"></i><b>A.1</b> Basic statistical terms</a>
<ul>
<li class="chapter" data-level="A.1.1" data-path="A-appendixA.html"><a href="A-appendixA.html#mean"><i class="fa fa-check"></i><b>A.1.1</b> Mean</a></li>
<li class="chapter" data-level="A.1.2" data-path="A-appendixA.html"><a href="A-appendixA.html#median"><i class="fa fa-check"></i><b>A.1.2</b> Median</a></li>
<li class="chapter" data-level="A.1.3" data-path="A-appendixA.html"><a href="A-appendixA.html#appendix-sd-variance"><i class="fa fa-check"></i><b>A.1.3</b> Standard deviation and variance</a></li>
<li class="chapter" data-level="A.1.4" data-path="A-appendixA.html"><a href="A-appendixA.html#five-number-summary"><i class="fa fa-check"></i><b>A.1.4</b> Five-number summary</a></li>
<li class="chapter" data-level="A.1.5" data-path="A-appendixA.html"><a href="A-appendixA.html#distribution"><i class="fa fa-check"></i><b>A.1.5</b> Distribution</a></li>
<li class="chapter" data-level="A.1.6" data-path="A-appendixA.html"><a href="A-appendixA.html#outliers"><i class="fa fa-check"></i><b>A.1.6</b> Outliers</a></li>
</ul></li>
<li class="chapter" data-level="A.2" data-path="A-appendixA.html"><a href="A-appendixA.html#appendix-normal-curve"><i class="fa fa-check"></i><b>A.2</b> Normal distribution</a></li>
<li class="chapter" data-level="A.3" data-path="A-appendixA.html"><a href="A-appendixA.html#appendix-log10-transformations"><i class="fa fa-check"></i><b>A.3</b> log10 transformations</a></li>
</ul></li>
<li class="chapter" data-level="B" data-path="B-appendixB.html"><a href="B-appendixB.html"><i class="fa fa-check"></i><b>B</b> Inference Examples</a>
<ul>
<li class="chapter" data-level="" data-path="B-appendixB.html"><a href="B-appendixB.html#needed-packages-1"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="B.1" data-path="B-appendixB.html"><a href="B-appendixB.html#inference-mind-map"><i class="fa fa-check"></i><b>B.1</b> Inference mind map</a></li>
<li class="chapter" data-level="B.2" data-path="B-appendixB.html"><a href="B-appendixB.html#one-mean"><i class="fa fa-check"></i><b>B.2</b> One mean</a>
<ul>
<li class="chapter" data-level="B.2.1" data-path="B-appendixB.html"><a href="B-appendixB.html#problem-statement"><i class="fa fa-check"></i><b>B.2.1</b> Problem statement</a></li>
<li class="chapter" data-level="B.2.2" data-path="B-appendixB.html"><a href="B-appendixB.html#competing-hypotheses"><i class="fa fa-check"></i><b>B.2.2</b> Competing hypotheses</a></li>
<li class="chapter" data-level="B.2.3" data-path="B-appendixB.html"><a href="B-appendixB.html#exploring-the-sample-data"><i class="fa fa-check"></i><b>B.2.3</b> Exploring the sample data</a></li>
<li class="chapter" data-level="B.2.4" data-path="B-appendixB.html"><a href="B-appendixB.html#non-traditional-methods"><i class="fa fa-check"></i><b>B.2.4</b> Non-traditional methods</a></li>
<li class="chapter" data-level="B.2.5" data-path="B-appendixB.html"><a href="B-appendixB.html#traditional-methods"><i class="fa fa-check"></i><b>B.2.5</b> Traditional methods</a></li>
<li class="chapter" data-level="B.2.6" data-path="B-appendixB.html"><a href="B-appendixB.html#comparing-results"><i class="fa fa-check"></i><b>B.2.6</b> Comparing results</a></li>
</ul></li>
<li class="chapter" data-level="B.3" data-path="B-appendixB.html"><a href="B-appendixB.html#one-proportion"><i class="fa fa-check"></i><b>B.3</b> One proportion</a>
<ul>
<li class="chapter" data-level="B.3.1" data-path="B-appendixB.html"><a href="B-appendixB.html#problem-statement-1"><i class="fa fa-check"></i><b>B.3.1</b> Problem statement</a></li>
<li class="chapter" data-level="B.3.2" data-path="B-appendixB.html"><a href="B-appendixB.html#competing-hypotheses-1"><i class="fa fa-check"></i><b>B.3.2</b> Competing hypotheses</a></li>
<li class="chapter" data-level="B.3.3" data-path="B-appendixB.html"><a href="B-appendixB.html#exploring-the-sample-data-1"><i class="fa fa-check"></i><b>B.3.3</b> Exploring the sample data</a></li>
<li class="chapter" data-level="B.3.4" data-path="B-appendixB.html"><a href="B-appendixB.html#non-traditional-methods-1"><i class="fa fa-check"></i><b>B.3.4</b> Non-traditional methods</a></li>
<li class="chapter" data-level="B.3.5" data-path="B-appendixB.html"><a href="B-appendixB.html#traditional-methods-1"><i class="fa fa-check"></i><b>B.3.5</b> Traditional methods</a></li>
<li class="chapter" data-level="B.3.6" data-path="B-appendixB.html"><a href="B-appendixB.html#comparing-results-1"><i class="fa fa-check"></i><b>B.3.6</b> Comparing results</a></li>
</ul></li>
<li class="chapter" data-level="B.4" data-path="B-appendixB.html"><a href="B-appendixB.html#two-proportions"><i class="fa fa-check"></i><b>B.4</b> Two proportions</a>
<ul>
<li class="chapter" data-level="B.4.1" data-path="B-appendixB.html"><a href="B-appendixB.html#problem-statement-2"><i class="fa fa-check"></i><b>B.4.1</b> Problem statement</a></li>
<li class="chapter" data-level="B.4.2" data-path="B-appendixB.html"><a href="B-appendixB.html#competing-hypotheses-2"><i class="fa fa-check"></i><b>B.4.2</b> Competing hypotheses</a></li>
<li class="chapter" data-level="B.4.3" data-path="B-appendixB.html"><a href="B-appendixB.html#exploring-the-sample-data-2"><i class="fa fa-check"></i><b>B.4.3</b> Exploring the sample data</a></li>
<li class="chapter" data-level="B.4.4" data-path="B-appendixB.html"><a href="B-appendixB.html#non-traditional-methods-2"><i class="fa fa-check"></i><b>B.4.4</b> Non-traditional methods</a></li>
<li class="chapter" data-level="B.4.5" data-path="B-appendixB.html"><a href="B-appendixB.html#traditional-methods-2"><i class="fa fa-check"></i><b>B.4.5</b> Traditional methods</a></li>
<li class="chapter" data-level="B.4.6" data-path="B-appendixB.html"><a href="B-appendixB.html#test-statistic-2"><i class="fa fa-check"></i><b>B.4.6</b> Test statistic</a></li>
<li class="chapter" data-level="B.4.7" data-path="B-appendixB.html"><a href="B-appendixB.html#state-conclusion-2"><i class="fa fa-check"></i><b>B.4.7</b> State conclusion</a></li>
<li class="chapter" data-level="B.4.8" data-path="B-appendixB.html"><a href="B-appendixB.html#comparing-results-2"><i class="fa fa-check"></i><b>B.4.8</b> Comparing results</a></li>
</ul></li>
<li class="chapter" data-level="B.5" data-path="B-appendixB.html"><a href="B-appendixB.html#two-means-independent-samples"><i class="fa fa-check"></i><b>B.5</b> Two means (independent samples)</a>
<ul>
<li class="chapter" data-level="B.5.1" data-path="B-appendixB.html"><a href="B-appendixB.html#problem-statement-3"><i class="fa fa-check"></i><b>B.5.1</b> Problem statement</a></li>
<li class="chapter" data-level="B.5.2" data-path="B-appendixB.html"><a href="B-appendixB.html#competing-hypotheses-3"><i class="fa fa-check"></i><b>B.5.2</b> Competing hypotheses</a></li>
<li class="chapter" data-level="B.5.3" data-path="B-appendixB.html"><a href="B-appendixB.html#exploring-the-sample-data-3"><i class="fa fa-check"></i><b>B.5.3</b> Exploring the sample data</a></li>
<li class="chapter" data-level="B.5.4" data-path="B-appendixB.html"><a href="B-appendixB.html#non-traditional-methods-3"><i class="fa fa-check"></i><b>B.5.4</b> Non-traditional methods</a></li>
<li class="chapter" data-level="B.5.5" data-path="B-appendixB.html"><a href="B-appendixB.html#traditional-methods-3"><i class="fa fa-check"></i><b>B.5.5</b> Traditional methods</a></li>
<li class="chapter" data-level="B.5.6" data-path="B-appendixB.html"><a href="B-appendixB.html#test-statistic-3"><i class="fa fa-check"></i><b>B.5.6</b> Test statistic</a></li>
<li class="chapter" data-level="B.5.7" data-path="B-appendixB.html"><a href="B-appendixB.html#compute-p-value-1"><i class="fa fa-check"></i><b>B.5.7</b> Compute <span class="math inline">\(p\)</span>-value</a></li>
<li class="chapter" data-level="B.5.8" data-path="B-appendixB.html"><a href="B-appendixB.html#state-conclusion-3"><i class="fa fa-check"></i><b>B.5.8</b> State conclusion</a></li>
<li class="chapter" data-level="B.5.9" data-path="B-appendixB.html"><a href="B-appendixB.html#comparing-results-3"><i class="fa fa-check"></i><b>B.5.9</b> Comparing results</a></li>
</ul></li>
<li class="chapter" data-level="B.6" data-path="B-appendixB.html"><a href="B-appendixB.html#two-means-paired-samples"><i class="fa fa-check"></i><b>B.6</b> Two means (paired samples)</a>
<ul>
<li class="chapter" data-level="" data-path="B-appendixB.html"><a href="B-appendixB.html#problem-statement-4"><i class="fa fa-check"></i>Problem statement</a></li>
<li class="chapter" data-level="B.6.1" data-path="B-appendixB.html"><a href="B-appendixB.html#competing-hypotheses-4"><i class="fa fa-check"></i><b>B.6.1</b> Competing hypotheses</a></li>
<li class="chapter" data-level="B.6.2" data-path="B-appendixB.html"><a href="B-appendixB.html#exploring-the-sample-data-4"><i class="fa fa-check"></i><b>B.6.2</b> Exploring the sample data</a></li>
<li class="chapter" data-level="B.6.3" data-path="B-appendixB.html"><a href="B-appendixB.html#non-traditional-methods-4"><i class="fa fa-check"></i><b>B.6.3</b> Non-traditional methods</a></li>
<li class="chapter" data-level="B.6.4" data-path="B-appendixB.html"><a href="B-appendixB.html#traditional-methods-4"><i class="fa fa-check"></i><b>B.6.4</b> Traditional methods</a></li>
<li class="chapter" data-level="B.6.5" data-path="B-appendixB.html"><a href="B-appendixB.html#comparing-results-4"><i class="fa fa-check"></i><b>B.6.5</b> Comparing results</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="C" data-path="C-appendixC.html"><a href="C-appendixC.html"><i class="fa fa-check"></i><b>C</b> Tips and Tricks</a>
<ul>
<li class="chapter" data-level="" data-path="C-appendixC.html"><a href="C-appendixC.html#needed-packages-2"><i class="fa fa-check"></i>Needed packages</a></li>
<li class="chapter" data-level="C.1" data-path="C-appendixC.html"><a href="C-appendixC.html#data-wrangling"><i class="fa fa-check"></i><b>C.1</b> Data wrangling</a>
<ul>
<li class="chapter" data-level="C.1.1" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-missing-values"><i class="fa fa-check"></i><b>C.1.1</b> Dealing with missing values</a></li>
<li class="chapter" data-level="C.1.2" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-reordering-bars"><i class="fa fa-check"></i><b>C.1.2</b> Reordering bars in a barplot</a></li>
<li class="chapter" data-level="C.1.3" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-money-on-axis"><i class="fa fa-check"></i><b>C.1.3</b> Showing money on an axis</a></li>
<li class="chapter" data-level="C.1.4" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-changing-values"><i class="fa fa-check"></i><b>C.1.4</b> Changing values inside cells</a></li>
<li class="chapter" data-level="C.1.5" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-convert-numerical-categorical"><i class="fa fa-check"></i><b>C.1.5</b> Converting a numerical variable to a categorical one</a></li>
<li class="chapter" data-level="C.1.6" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-prop"><i class="fa fa-check"></i><b>C.1.6</b> Computing proportions</a></li>
<li class="chapter" data-level="C.1.7" data-path="C-appendixC.html"><a href="C-appendixC.html#appendix-commas"><i class="fa fa-check"></i><b>C.1.7</b> Dealing with %, commas, and $</a></li>
</ul></li>
<li class="chapter" data-level="C.2" data-path="C-appendixC.html"><a href="C-appendixC.html#interactive-graphics"><i class="fa fa-check"></i><b>C.2</b> Interactive graphics</a>
<ul>
<li class="chapter" data-level="C.2.1" data-path="C-appendixC.html"><a href="C-appendixC.html#interactive-linegraphs"><i class="fa fa-check"></i><b>C.2.1</b> Interactive linegraphs</a></li>
</ul></li>
</ul></li>
<li class="chapter" data-level="D" data-path="D-appendixD.html"><a href="D-appendixD.html"><i class="fa fa-check"></i><b>D</b> Learning Check Solutions</a>
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<li class="chapter" data-level="D.1" data-path="D-appendixD.html"><a href="D-appendixD.html#chapter-1-solutions"><i class="fa fa-check"></i><b>D.1</b> Chapter 1 Solutions</a></li>
</ul></li>
<li class="chapter" data-level="E" data-path="E-appendixE.html"><a href="E-appendixE.html"><i class="fa fa-check"></i><b>E</b> Versions of R Packages Used</a></li>
<li class="chapter" data-level="" data-path="references.html"><a href="references.html"><i class="fa fa-check"></i>References</a></li>
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<div id="preface" class="section level1 unnumbered">
<h1>Preface</h1>
<center>
<img src="images/logos/Rlogo.png" height="100" /> <img src="images/logos/RStudio-Logo-Blue-Gradient.png" height="100" />
</center>
<p><strong>Help! I’m completely new to coding and I need to learn R and RStudio! What do I do?</strong></p>
<p>If you’re asking yourself this question, then you’ve come to the right place! Start with the “Introduction for students” section.</p>
<ul>
<li><em>Are you an instructor hoping to use this book in your courses? We recommend reading the “Introduction for students” section first. Then, read the “Introduction for instructors” section for more information on how to teach with this book.</em></li>
<li><em>Are you looking to connect with and contribute to</em> ModernDive<em>? Then, read the “Connect and contribute” section for information on how.</em></li>
<li><em>Are you curious about the publishing of this book? Then, read the “About this book” section for more information on the open-source technology, in particular R Markdown and the bookdown package.</em></li>
</ul>
<p>This is version 1.1.0 of <em>ModernDive</em> published on July 2, 2020. For previous versions of <em>ModernDive</em>, see the “About this book” section below.</p>
<div id="introduction-for-students" class="section level2 unnumbered">
<h2>Introduction for students</h2>
<p>This book assumes no prerequisites: no algebra, no calculus, and no prior programming/coding experience. This is intended to be a gentle introduction to the practice of analyzing data and answering questions using data the way data scientists, statisticians, data journalists, and other researchers would.</p>
<p>We present a map of your upcoming journey in Figure <a href="preface.html#fig:moderndive-figure">0.1</a>.</p>
<div class="figure" style="text-align: center"><span id="fig:moderndive-figure"></span>
<img src="images/flowcharts/flowchart/flowchart.002.png" alt="ModernDive flowchart." width="\textwidth" />
<p class="caption">
FIGURE 0.1: <em>ModernDive</em> flowchart.
</p>
</div>
<p>You’ll first get started with data in Chapter <a href="1-getting-started.html#getting-started">1</a> where you’ll learn about the difference between R and RStudio, start coding in R, install and load your first R packages, and explore your first dataset: all domestic departure <code>flights</code> from a New York City airport in 2013. Then you’ll cover the following three portions of this book (Parts 2 and 4 are combined into a single portion):</p>
<ol style="list-style-type: decimal">
<li>Data science with <code>tidyverse</code>. You’ll assemble your data science toolbox using <code>tidyverse</code> packages. In particular, you’ll
<ul>
<li>Ch.<a href="2-viz.html#viz">2</a>: Visualize data using the <code>ggplot2</code> package.</li>
<li>Ch.<a href="3-wrangling.html#wrangling">3</a>: Wrangle data using the <code>dplyr</code> package.</li>
<li>Ch.<a href="4-tidy.html#tidy">4</a>: Learn about the concept of “tidy” data as a standardized data input and output format for all packages in the <code>tidyverse</code>. Furthermore, you’ll learn how to import spreadsheet files into R using the <code>readr</code> package.</li>
</ul></li>
<li>Data modeling with <code>moderndive</code>. Using these data science tools and helper functions from the <code>moderndive</code> package, you’ll fit your first data models. In particular, you’ll
<ul>
<li>Ch.<a href="5-regression.html#regression">5</a>: Discover basic regression models with only one explanatory variable.</li>
<li>Ch.<a href="6-multiple-regression.html#multiple-regression">6</a>: Examine multiple regression models with more than one explanatory variable.</li>
</ul></li>
<li>Statistical inference with <code>infer</code>. Once again using your newly acquired data science tools, you’ll unpack statistical inference using the <code>infer</code> package. In particular, you’ll:
<ul>
<li>Ch.<a href="7-sampling.html#sampling">7</a>: Learn about the role that sampling variability plays in statistical inference and the role that sample size plays in this sampling variability.</li>
<li>Ch.<a href="8-confidence-intervals.html#confidence-intervals">8</a>: Construct confidence intervals using bootstrapping.</li>
<li>Ch.<a href="9-hypothesis-testing.html#hypothesis-testing">9</a>: Conduct hypothesis tests using permutation.</li>
</ul></li>
<li>Data modeling with <code>moderndive</code> (revisited): Armed with your understanding of statistical inference, you’ll revisit and review the models you’ll construct in Ch.<a href="5-regression.html#regression">5</a> and Ch.<a href="6-multiple-regression.html#multiple-regression">6</a>. In particular, you’ll:
<ul>
<li>Ch.<a href="10-inference-for-regression.html#inference-for-regression">10</a>: Interpret confidence intervals and hypothesis tests in a regression setting.</li>
</ul></li>
</ol>
<p>We’ll end with a discussion on what it means to “tell your story with data” in Chapter <a href="11-thinking-with-data.html#thinking-with-data">11</a> by presenting example case studies.<a href="#fn1" class="footnote-ref" id="fnref1"><sup>1</sup></a></p>
<div id="what-we-hope-you-will-learn-from-this-book" class="section level3 unnumbered">
<h3>What we hope you will learn from this book</h3>
<p>We hope that by the end of this book, you’ll have learned how to:</p>
<ol style="list-style-type: decimal">
<li>Use R and the <code>tidyverse</code> suite of R <em>packages</em> for data science.</li>
<li>Fit your first <em>models</em> to data, using a method known as <em>linear regression</em>.</li>
<li>Perform <em>statistical inference</em> using <em>sampling</em>, <em>confidence intervals</em>. and <em>hypothesis tests</em>.</li>
<li><em>Tell your story with data</em> using these tools.</li>
</ol>
<p>What do we mean by data stories? We mean any analysis involving data that engages the reader in answering questions with careful visuals and thoughtful discussion. Further discussions on data stories can be found in the blog post <a href="https://www.thinkwithgoogle.com/marketing-resources/data-measurement/tell-meaningful-stories-with-data/">“Tell a Meaningful Story With Data.”</a></p>
<p>Over the course of this book, you will develop your “data science toolbox,” equipping yourself with tools such as data visualization, data formatting, data wrangling, and data modeling using regression.</p>
<p>In particular, this book will lean heavily on data visualization. In today’s world, we are bombarded with graphics that attempt to convey ideas. We will explore what makes a good graphic and what the standard ways are used to convey relationships within data. In general, we’ll use visualization as a way of building almost all of the ideas in this book.</p>
<p>To impart the statistical lessons of this book, we have intentionally minimized the number of mathematical formulas used. Instead, you’ll develop a conceptual understanding of statistics using data visualization and computer simulations. We hope this is a more intuitive experience than the way statistics has traditionally been taught in the past and how it is commonly perceived.</p>
<p>Finally, you’ll learn the importance of literate programming. By this we mean you’ll learn how to write code that is useful not just for a computer to execute, but also for readers to understand exactly what your analysis is doing and how you did it. This is part of a greater effort to encourage reproducible research (see the “Reproducible research” subsection in this Preface for more details). Hal Abelson coined the phrase that we will follow throughout this book:</p>
<blockquote>
<p>Programs must be written for people to read, and only incidentally for machines to execute.</p>
</blockquote>
<p>We understand that there may be challenging moments as you learn to program. Both of us continue to struggle and find ourselves often using web searches to find answers and reach out to colleagues for help. In the long run though, we all can solve problems faster and more elegantly via programming. We wrote this book as our way to help you get started and you should know that there is a huge community of R users that are happy to help everyone along as well. This community exists in particular on the internet on various forums and websites such as <a href="https://stackoverflow.com/">stackoverflow.com</a>.</p>
</div>
<div id="datascience-pipeline" class="section level3 unnumbered">
<h3>Data/science pipeline</h3>
<p>You may think of statistics as just being a bunch of numbers. We commonly hear the phrase “statistician” when listening to broadcasts of sporting events. Statistics (in particular, data analysis), in addition to describing numbers like with baseball batting averages, plays a vital role in all of the sciences. </p>
<p>You’ll commonly hear the phrase “statistically significant” thrown around in the media. You’ll see articles that say, “Science now shows that chocolate is good for you.” Underpinning these claims is data analysis. By the end of this book, you’ll be able to better understand whether these claims should be trusted or whether we should be wary. Inside data analysis are many sub-fields that we will discuss throughout this book (though not necessarily in this order):</p>
<ul>
<li>data collection</li>
<li>data wrangling</li>
<li>data visualization</li>
<li>data modeling</li>
<li>inference</li>
<li>correlation and regression</li>
<li>interpretation of results</li>
<li>data communication/storytelling</li>
</ul>
<p>These sub-fields are summarized in what Grolemund and Wickham have previously termed the <a href="http://r4ds.had.co.nz/explore-intro.html">“data/science pipeline”</a> in Figure <a href="preface.html#fig:pipeline-figure">0.2</a>.</p>
<div class="figure" style="text-align: center"><span id="fig:pipeline-figure"></span>
<img src="images/r4ds/data_science_pipeline.png" alt="Data/science pipeline." width="100%" height="100%" />
<p class="caption">
FIGURE 0.2: Data/science pipeline.
</p>
</div>
<p>We will begin by digging into the grey <strong>Understand</strong> portion of the cycle with data visualization, then with a discussion on what is meant by tidy data and data wrangling, and then conclude by talking about interpreting and discussing the results of our models via <strong>Communication</strong>. These steps are vital to any statistical analysis. But, why should you care about statistics?</p>
<p>There’s a reason that many fields require a statistics course. Scientific knowledge grows through an understanding of statistical significance and data analysis. You needn’t be intimidated by statistics. It’s not the beast that it used to be and, paired with computation, you’ll see how reproducible research in the sciences particularly increases scientific knowledge.</p>
</div>
<div id="reproducible-research" class="section level3 unnumbered">
<h3>Reproducible research</h3>
<blockquote>
<p>The most important tool is the <em>mindset</em>, when starting, that the end product will be reproducible. – Keith Baggerly</p>
</blockquote>
<p></p>
<p>Another goal of this book is to help readers understand the importance of reproducible analyses. The hope is to get readers into the habit of making their analyses reproducible from the very beginning. This means we’ll be trying to help you build new habits. This will take practice and be difficult at times. You’ll see just why it is so important for you to keep track of your code and document it well to help yourself later and any potential collaborators as well.</p>
<p>Copying and pasting results from one program into a word processor is not an ideal way to conduct efficient and effective scientific research. It’s much more important for time to be spent on data collection and data analysis and not on copying and pasting plots back and forth across a variety of programs.</p>
<p>In traditional analyses, if an error was made with the original data, we’d need to step through the entire process again: recreate the plots and copy-and-paste all of the new plots and our statistical analysis into our document. This is error prone and a frustrating use of time. We want to help you to get away from this tedious activity so that we can spend more time doing science.</p>
<blockquote>
<p>We are talking about <em>computational</em> reproducibility. - Yihui Xie</p>
</blockquote>
<p></p>
<p>Reproducibility means a lot of things in terms of different scientific fields. Are experiments conducted in a way that another researcher could follow the steps and get similar results? In this book, we will focus on what is known as <strong>computational reproducibility</strong>. This refers to being able to pass all of one’s data analysis, datasets, and conclusions to someone else and have them get exactly the same results on their machine. This allows for time to be spent interpreting results and considering assumptions instead of the more error prone way of starting from scratch or following a list of steps that may be different from machine to machine.</p>
</div>
<div id="final-note-for-students" class="section level3 unnumbered">
<h3>Final note for students</h3>
<p>At this point, if you are interested in instructor perspectives on this book, ways to contribute and collaborate, or the technical details of this book’s construction and publishing, then continue with the rest of the chapter. Otherwise, let’s get started with R and RStudio in Chapter <a href="1-getting-started.html#getting-started">1</a>!</p>
</div>
</div>
<div id="introduction-for-instructors" class="section level2 unnumbered">
<h2>Introduction for instructors</h2>
<div id="resources" class="section level3 unnumbered">
<h3>Resources</h3>
<p>Here are some resources to help you use <em>ModernDive</em>:</p>
<ol style="list-style-type: decimal">
<li>We’ve included review questions posed as <em>Learning checks</em>. You can find all the solutions to all <em>Learning checks</em> in Appendix D of the online version of the book at <a href="https://moderndive.com/D-appendixD.html" class="uri">https://moderndive.com/D-appendixD.html</a>.</li>
<li>Dr. Jenny Smetzer and Albert Y. Kim have written a series of labs and problem sets. You can find them at <a href="https://moderndive.com/labs" class="uri">https://moderndive.com/labs</a>.</li>
<li>You can see the webpages for two courses that use <em>ModernDive</em>:
<ul>
<li>Smith College “SDS192 Introduction to Data Science”: <a href="https://rudeboybert.github.io/SDS192/" class="uri">https://rudeboybert.github.io/SDS192/</a>.</li>
<li>Smith College “SDS220 Introduction to Probability and Statistics”: <a href="https://rudeboybert.github.io/SDS220/" class="uri">https://rudeboybert.github.io/SDS220/</a>.</li>
</ul></li>
</ol>
</div>
<div id="why-did-we-write-this-book" class="section level3 unnumbered">
<h3>Why did we write this book?</h3>
<p>This book is inspired by</p>
<ul>
<li><em>Mathematical Statistics with Resampling and R</em> <span class="citation">(<a href="#ref-hester2011" role="doc-biblioref">Chihara and Hesterberg 2011</a>)</span></li>
<li><em>OpenIntro: Intro Stat with Randomization and Simulation</em> <span class="citation">(<a href="#ref-isrs2014" role="doc-biblioref">Diez, Barr, and Çetinkaya-Rundel 2014</a>)</span></li>
<li><em>R for Data Science</em> <span class="citation">(<a href="#ref-rds2016" role="doc-biblioref">Grolemund and Wickham 2017</a>)</span></li>
</ul>
<p>The first book, designed for upper-level undergraduates and graduate students, provides an excellent resource on how to use resampling to impart statistical concepts like sampling distributions using computation instead of large-sample approximations and other mathematical formulas. The last two books are free options for learning about introductory statistics and data science, providing an alternative to the many traditionally expensive introductory statistics textbooks.</p>
<p>When looking over the introductory statistics textbooks that currently exist, we found there wasn’t one that incorporated many newly developed R packages directly into the text, in particular the many packages included in the <a href="http://tidyverse.org/"><code>tidyverse</code></a> set of packages, such as <code>ggplot2</code>, <code>dplyr</code>, <code>tidyr</code>, and <code>readr</code> that will be the focus of this book’s first part on “Data Science with <code>tidyverse</code>.”</p>
<p>Additionally, there wasn’t an open-source and easily reproducible textbook available that exposed new learners to all four of the learning goals we listed in the “Introduction for students” subsection. We wanted to write a book that could develop theory via computational techniques and help novices master the R language in doing so.</p>
</div>
<div id="who-is-this-book-for" class="section level3 unnumbered">
<h3>Who is this book for?</h3>
<p>This book is intended for instructors of traditional introductory statistics classes using RStudio, who would like to inject more data science topics into their syllabus. RStudio can be used in either the server version or the desktop version. (This is discussed further in Subsection <a href="1-getting-started.html#installing">1.1.1</a>.) We assume that students taking the class will have no prior algebra, no calculus, nor programming/coding experience.</p>
<p>Here are some principles and beliefs we kept in mind while writing this text. If you agree with them, this is the book for you.</p>
<ol style="list-style-type: decimal">
<li><strong>Blur the lines between lecture and lab</strong>
<ul>
<li>With increased availability and accessibility of laptops and open-source non-proprietary statistical software, the strict dichotomy between lab and lecture can be loosened.</li>
<li>It’s much harder for students to understand the importance of using software if they only use it once a week or less. They forget the syntax in much the same way someone learning a foreign language forgets the grammar rules. Frequent reinforcement is key.</li>
</ul></li>
<li><strong>Focus on the entire data/science research pipeline</strong>
<ul>
<li>We believe that the entirety of Grolemund and Wickham’s <a href="http://r4ds.had.co.nz/introduction.html">data/science pipeline</a> as seen in Figure <a href="preface.html#fig:pipeline-figure">0.2</a> should be taught.</li>
<li>We heed George Cobb’s call to <a href="https://arxiv.org/abs/1507.05346">“minimize prerequisites to research”</a>: students should be answering questions with data as soon as possible.</li>
</ul></li>
<li><strong>It’s all about the data</strong>
<ul>
<li>We leverage R packages for rich, real, and realistic datasets that at the same time are easy-to-load into R, such as the <code>nycflights13</code> and <code>fivethirtyeight</code> packages.</li>
<li>We believe that <a href="http://escholarship.org/uc/item/84v3774z">data visualization is a “gateway drug” for statistics</a> and that the grammar of graphics as implemented in the <code>ggplot2</code> package is the best way to impart such lessons. However, we often hear: “You can’t teach <code>ggplot2</code> for data visualization in intro stats!” We, like <a href="http://varianceexplained.org/r/teach_ggplot2_to_beginners/">David Robinson</a>, are much more optimistic and have found our students have been largely successful in learning it.</li>
<li><code>dplyr</code> has made data wrangling much more <a href="http://chance.amstat.org/2015/04/setting-the-stage/">accessible</a> to novices, and hence much more interesting datasets can be explored.</li>
</ul></li>
<li><strong>Use simulation/resampling to introduce statistical inference, not probability/mathematical formulas</strong>
<ul>
<li>Instead of using formulas, large-sample approximations, and probability tables, we teach statistical concepts using simulation-based inference.</li>
<li>This allows for a de-emphasis of traditional probability topics, freeing up room in the syllabus for other topics. Bridges to these mathematical concepts are given as well to help with relation of these traditional topics with more modern approaches.</li>
</ul></li>
<li><strong>Don’t fence off students from the computation pool, throw them in!</strong>
<ul>
<li>Computing skills are essential to working with data in the 21st century. Given this fact, we feel that to shield students from computing is to ultimately do them a disservice.</li>
<li>We are not teaching a course on coding/programming per se, but rather just enough of the computational and algorithmic thinking necessary for data analysis.</li>
</ul></li>
<li><strong>Complete reproducibility and customizability</strong>
<ul>
<li>We are frustrated when textbooks give examples, but not the source code and the data itself. We give you the source code for all examples as well as the whole book! While we have made choices to occasionally hide the code that produces more complicated figures, reviewing the book’s GitHub repository will provide you with all the code (see below).</li>
<li>Ultimately the best textbook is one you’ve written yourself. You know best your audience, their background, and their priorities. You know best your own style and the types of examples and problems you like best. Customization is the ultimate end. We encourage you to take what we’ve provided and make it work for your own needs. For more about how to make this book your own, see “About this book” later in this Preface.</li>
</ul></li>
</ol>
</div>
</div>
<div id="connect-and-contribute" class="section level2 unnumbered">
<h2>Connect and contribute</h2>
<p>If you would like to connect with ModernDive, check out the following links:</p>
<ul>
<li>If you would like to receive periodic updates about ModernDive (roughly every 6 months), please sign up for our <a href="http://eepurl.com/cBkItf">mailing list</a>.</li>
<li>Contact Albert at <code>[email protected]</code> and Chester at <code>[email protected]</code>.</li>
<li>We’re on Twitter at <a href="https://twitter.com/ModernDive" class="uri">https://twitter.com/ModernDive</a>.</li>
</ul>
<p>If you would like to contribute to <em>ModernDive</em>, there are many ways! We would love your help and feedback to make this book as great as possible! For example, if you find any errors, typos, or areas for improvement, then please email us or post an issue on our <a href="https://github.com/moderndive/moderndive_book/issues">GitHub issues</a> page. If you are familiar with GitHub and would like to contribute, see the “About this book” section.</p>
</div>
<div id="acknowledgements" class="section level2 unnumbered">
<h2>Acknowledgements</h2>
<p>The authors would like to thank <a href="https://github.com/nsonneborn">Nina Sonneborn</a>, <a href="https://alison.rbind.io/">Dr. Alison Hill</a>, <a href="https://twitter.com/rhobott?lang=en">Kristin Bott</a>, <a href="https://www.smith.edu/academics/faculty/jennifer-smetzer">Dr. Jenny Smetzer</a>, <a href="https://www.smith.edu/academics/faculty/katherine-kinnaird">Prof. Katherine Kinnaird</a>, and the participants of our <a href="https://www.causeweb.org/cause/uscots/uscots17/workshop/3">2017</a> and <a href="https://www.causeweb.org/cause/uscots/uscots19/workshop/4">2019</a> USCOTS workshops for their feedback and suggestions. We’d also like to thank <a href="https://twitter.com/andrewheiss">Dr. Andrew Heiss</a> for contributing nearly all of Subsection <a href="1-getting-started.html#tips-code">1.2.3</a> on “Errors, warnings, and messages,” <a href="https://github.com/echasnovski">Evgeni Chasnovski</a> for creating the new <code>geom_parallel_slopes()</code> extension to the <code>ggplot2</code> package for plotting parallel slopes models, and Smith College Statistical & Data Sciences students <a href="https://github.com/Starryz">Starry Zhou</a> and <a href="https://github.com/mariumtapal">Marium Tapal</a> for their many edits to the book. A special thanks goes to Dr. Yana Weinstein, cognitive psychological scientist and co-founder of <a href="http://www.learningscientists.org/yana-weinstein/">The Learning Scientists</a>, for her extensive feedback.</p>
<p>We were both honored to have <a href="https://www.reed.edu/faculty-profiles/profiles/mcconville-kelly.html">Dr. Kelly S. McConville</a> write the <a href="foreword.html#foreword">Foreword</a> of the book. Dr. McConville is a pioneer in statistics education and was a source of great inspiration to both of us as we continued to update the book to get it to its current form. Thanks additionally to the <a href="https://github.com/moderndive/ModernDive_book/graphs/contributors">continued contributions by members of the community</a> to the book on GitHub and to the many individuals that have recommended this book to others. We are so very appreciative of all of you!</p>
<p>Lastly, a very special shout out to any student who has ever taken a class with us at either Pacific University, Reed College, Middlebury College, Amherst College, or Smith College. We couldn’t have made this book without you!</p>
</div>
<div id="about-this-book" class="section level2 unnumbered">
<h2>About this book</h2>
<p>This book was written using RStudio’s <a href="https://bookdown.org/">bookdown</a> package by Yihui Xie <span class="citation">(<a href="#ref-R-bookdown" role="doc-biblioref">Xie 2021</a>)</span>. This package simplifies the publishing of books by having all content written in <a href="http://rmarkdown.rstudio.com/html_document_format.html">R Markdown</a>. The bookdown/R Markdown source code for all versions of ModernDive is available on GitHub:</p>
<ul>
<li><strong>Latest online version</strong> The most up-to-date release:
<ul>
<li>Version 1.1.0 released on July 2, 2020 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v1.1.0">source code</a>)</li>
<li>Available at <a href="https://moderndive.com/" class="uri">https://moderndive.com/</a></li>
</ul></li>
<li><strong>Print edition</strong> The CRC Press <a href="https://www.routledge.com/Statistical-Inference-via-Data-Science-A-ModernDive-into-R-and-the-Tidyverse/Ismay-Kim/p/book/9780367409821">print edition</a> of <em>ModernDive</em> corresponds to Version 1.1.0 (with some typos fixed).</li>
<li><strong>Future edition</strong> We are currently working on a future edition of ModernDive:
<ul>
<li>A preview is available at <a href="https://moderndive.netlify.app/">https://moderndive.netlify.app/</a>.</li>
<li>Source code: Available on ModernDive’s GitHub repository page in the <code>v2</code> branch <a href="https://github.com/moderndive/ModernDive_book/tree/v2" class="uri">https://github.com/moderndive/ModernDive_book/tree/v2</a>.</li>
</ul></li>
<li><strong>Previous online versions</strong> Older versions that may be out of date:
<ul>
<li><a href="previous_versions/v1.0.0/index.html">Version 1.0.0</a> released on November 25, 2019 (<a href="https://github.com/moderndive/ModernDive_book/releases/tag/v1.0.0">source code</a>)</li>
<li><a href="previous_versions/v0.6.1/index.html">Version 0.6.1</a> released on August 28, 2019 (<a href="https://github.com/moderndive/ModernDive_book/releases/tag/v0.6.1">source code</a>)</li>
<li><a href="previous_versions/v0.6.0/index.html">Version 0.6.0</a> released on August 7, 2019 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.6.0">source code</a>)</li>
<li><a href="previous_versions/v0.5.0/index.html">Version 0.5.0</a> released on February 24, 2019 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.5.0">source code</a>)</li>
<li><a href="previous_versions/v0.4.0/index.html">Version 0.4.0</a> released on July 21, 2018 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.4.0">source code</a>)</li>
<li><a href="previous_versions/v0.3.0/index.html">Version 0.3.0</a> released on February 3, 2018 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.3.0">source code</a>)</li>
<li><a href="previous_versions/v0.2.0/index.html">Version 0.2.0</a> released on August 2, 2017 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.2.0">source code</a>)</li>
<li><a href="previous_versions/v0.1.3/index.html">Version 0.1.3</a> released on February 9, 2017 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.1.3">source code</a>)</li>
<li><a href="previous_versions/v0.1.2/index.html">Version 0.1.2</a> released on January 22, 2017 (<a href="https://github.com/moderndive/moderndive_book/releases/tag/v0.1.2">source code</a>)</li>
</ul></li>
</ul>
<p>Could this be a new paradigm for textbooks? Instead of the traditional model of textbook companies publishing updated <em>editions</em> of the textbook every few years, we apply a software design influenced model of publishing more easily updated <em>versions</em>. We can then leverage open-source communities of instructors and developers for ideas, tools, resources, and feedback. As such, we welcome your GitHub pull requests.</p>
<p>Finally, since this book is under a <a href="https://creativecommons.org/licenses/by-nc-sa/4.0/">Creative Commons Attribution - NonCommercial - ShareAlike 4.0 license</a>, feel free to modify the book as you wish for your own non-commercial needs, but please list the authors at the top of <code>index.Rmd</code> as: “Chester Ismay, Albert Y. Kim, and YOU!”</p>
</div>
</div>
<h3>References</h3>
<div id="refs" class="references csl-bib-body hanging-indent">
<div id="ref-hester2011" class="csl-entry">
Chihara, Laura M., and Tim C. Hesterberg. 2011. <em>Mathematical Statistics with Resampling and r</em>. First. Hoboken, NJ: John Wiley & Sons. <a href="https://sites.google.com/site/chiharahesterberg/home">https://sites.google.com/site/chiharahesterberg/home</a>.
</div>
<div id="ref-isrs2014" class="csl-entry">
Diez, David M, Christopher D Barr, and Mine Çetinkaya-Rundel. 2014. <em>Introductory Statistics with Randomization and Simulation</em>. First. Scotts Valley, CA: CreateSpace Independent Publishing Platform. <a href="https://www.openintro.org/stat/textbook.php?stat_book=isrs">https://www.openintro.org/stat/textbook.php?stat_book=isrs</a>.
</div>
<div id="ref-rds2016" class="csl-entry">
Grolemund, Garrett, and Hadley Wickham. 2017. <em>R for Data Science</em>. First. Sebastopol, CA: O’Reilly Media. <a href="https://r4ds.had.co.nz/">https://r4ds.had.co.nz/</a>.
</div>
<div id="ref-R-bookdown" class="csl-entry">
Xie, Yihui. 2021. <em>Bookdown: Authoring Books and Technical Documents with r Markdown</em>. <a href="https://CRAN.R-project.org/package=bookdown">https://CRAN.R-project.org/package=bookdown</a>.
</div>
</div>
<div class="footnotes">
<hr />
<ol start="1">
<li id="fn1"><p>Note that you’ll see different versions of the word “ModernDive” in this book:
(1) <code>moderndive</code> refers to the R package.
(2) <em>ModernDive</em> is an abbreviated version of <em>Statistical Inference via Data Science: A ModernDive into R and the Tidyverse</em>. It’s essentially a nickname we gave the book.
(3) ModernDive (without italics) corresponds to both the book and the corresponding R package together as an entity.<a href="preface.html#fnref1" class="footnote-back">↩︎</a></p></li>
</ol>
</div>
</section>
</div>
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