- •brief contents
- •contents
- •preface
- •acknowledgments
- •about this book
- •What’s new in the second edition
- •Who should read this book
- •Roadmap
- •Advice for data miners
- •Code examples
- •Code conventions
- •Author Online
- •About the author
- •about the cover illustration
- •1 Introduction to R
- •1.2 Obtaining and installing R
- •1.3 Working with R
- •1.3.1 Getting started
- •1.3.2 Getting help
- •1.3.3 The workspace
- •1.3.4 Input and output
- •1.4 Packages
- •1.4.1 What are packages?
- •1.4.2 Installing a package
- •1.4.3 Loading a package
- •1.4.4 Learning about a package
- •1.5 Batch processing
- •1.6 Using output as input: reusing results
- •1.7 Working with large datasets
- •1.8 Working through an example
- •1.9 Summary
- •2 Creating a dataset
- •2.1 Understanding datasets
- •2.2 Data structures
- •2.2.1 Vectors
- •2.2.2 Matrices
- •2.2.3 Arrays
- •2.2.4 Data frames
- •2.2.5 Factors
- •2.2.6 Lists
- •2.3 Data input
- •2.3.1 Entering data from the keyboard
- •2.3.2 Importing data from a delimited text file
- •2.3.3 Importing data from Excel
- •2.3.4 Importing data from XML
- •2.3.5 Importing data from the web
- •2.3.6 Importing data from SPSS
- •2.3.7 Importing data from SAS
- •2.3.8 Importing data from Stata
- •2.3.9 Importing data from NetCDF
- •2.3.10 Importing data from HDF5
- •2.3.11 Accessing database management systems (DBMSs)
- •2.3.12 Importing data via Stat/Transfer
- •2.4 Annotating datasets
- •2.4.1 Variable labels
- •2.4.2 Value labels
- •2.5 Useful functions for working with data objects
- •2.6 Summary
- •3 Getting started with graphs
- •3.1 Working with graphs
- •3.2 A simple example
- •3.3 Graphical parameters
- •3.3.1 Symbols and lines
- •3.3.2 Colors
- •3.3.3 Text characteristics
- •3.3.4 Graph and margin dimensions
- •3.4 Adding text, customized axes, and legends
- •3.4.1 Titles
- •3.4.2 Axes
- •3.4.3 Reference lines
- •3.4.4 Legend
- •3.4.5 Text annotations
- •3.4.6 Math annotations
- •3.5 Combining graphs
- •3.5.1 Creating a figure arrangement with fine control
- •3.6 Summary
- •4 Basic data management
- •4.1 A working example
- •4.2 Creating new variables
- •4.3 Recoding variables
- •4.4 Renaming variables
- •4.5 Missing values
- •4.5.1 Recoding values to missing
- •4.5.2 Excluding missing values from analyses
- •4.6 Date values
- •4.6.1 Converting dates to character variables
- •4.6.2 Going further
- •4.7 Type conversions
- •4.8 Sorting data
- •4.9 Merging datasets
- •4.9.1 Adding columns to a data frame
- •4.9.2 Adding rows to a data frame
- •4.10 Subsetting datasets
- •4.10.1 Selecting (keeping) variables
- •4.10.2 Excluding (dropping) variables
- •4.10.3 Selecting observations
- •4.10.4 The subset() function
- •4.10.5 Random samples
- •4.11 Using SQL statements to manipulate data frames
- •4.12 Summary
- •5 Advanced data management
- •5.2 Numerical and character functions
- •5.2.1 Mathematical functions
- •5.2.2 Statistical functions
- •5.2.3 Probability functions
- •5.2.4 Character functions
- •5.2.5 Other useful functions
- •5.2.6 Applying functions to matrices and data frames
- •5.3 A solution for the data-management challenge
- •5.4 Control flow
- •5.4.1 Repetition and looping
- •5.4.2 Conditional execution
- •5.5 User-written functions
- •5.6 Aggregation and reshaping
- •5.6.1 Transpose
- •5.6.2 Aggregating data
- •5.6.3 The reshape2 package
- •5.7 Summary
- •6 Basic graphs
- •6.1 Bar plots
- •6.1.1 Simple bar plots
- •6.1.2 Stacked and grouped bar plots
- •6.1.3 Mean bar plots
- •6.1.4 Tweaking bar plots
- •6.1.5 Spinograms
- •6.2 Pie charts
- •6.3 Histograms
- •6.4 Kernel density plots
- •6.5 Box plots
- •6.5.1 Using parallel box plots to compare groups
- •6.5.2 Violin plots
- •6.6 Dot plots
- •6.7 Summary
- •7 Basic statistics
- •7.1 Descriptive statistics
- •7.1.1 A menagerie of methods
- •7.1.2 Even more methods
- •7.1.3 Descriptive statistics by group
- •7.1.4 Additional methods by group
- •7.1.5 Visualizing results
- •7.2 Frequency and contingency tables
- •7.2.1 Generating frequency tables
- •7.2.2 Tests of independence
- •7.2.3 Measures of association
- •7.2.4 Visualizing results
- •7.3 Correlations
- •7.3.1 Types of correlations
- •7.3.2 Testing correlations for significance
- •7.3.3 Visualizing correlations
- •7.4 T-tests
- •7.4.3 When there are more than two groups
- •7.5 Nonparametric tests of group differences
- •7.5.1 Comparing two groups
- •7.5.2 Comparing more than two groups
- •7.6 Visualizing group differences
- •7.7 Summary
- •8 Regression
- •8.1 The many faces of regression
- •8.1.1 Scenarios for using OLS regression
- •8.1.2 What you need to know
- •8.2 OLS regression
- •8.2.1 Fitting regression models with lm()
- •8.2.2 Simple linear regression
- •8.2.3 Polynomial regression
- •8.2.4 Multiple linear regression
- •8.2.5 Multiple linear regression with interactions
- •8.3 Regression diagnostics
- •8.3.1 A typical approach
- •8.3.2 An enhanced approach
- •8.3.3 Global validation of linear model assumption
- •8.3.4 Multicollinearity
- •8.4 Unusual observations
- •8.4.1 Outliers
- •8.4.3 Influential observations
- •8.5 Corrective measures
- •8.5.1 Deleting observations
- •8.5.2 Transforming variables
- •8.5.3 Adding or deleting variables
- •8.5.4 Trying a different approach
- •8.6 Selecting the “best” regression model
- •8.6.1 Comparing models
- •8.6.2 Variable selection
- •8.7 Taking the analysis further
- •8.7.1 Cross-validation
- •8.7.2 Relative importance
- •8.8 Summary
- •9 Analysis of variance
- •9.1 A crash course on terminology
- •9.2 Fitting ANOVA models
- •9.2.1 The aov() function
- •9.2.2 The order of formula terms
- •9.3.1 Multiple comparisons
- •9.3.2 Assessing test assumptions
- •9.4 One-way ANCOVA
- •9.4.1 Assessing test assumptions
- •9.4.2 Visualizing the results
- •9.6 Repeated measures ANOVA
- •9.7 Multivariate analysis of variance (MANOVA)
- •9.7.1 Assessing test assumptions
- •9.7.2 Robust MANOVA
- •9.8 ANOVA as regression
- •9.9 Summary
- •10 Power analysis
- •10.1 A quick review of hypothesis testing
- •10.2 Implementing power analysis with the pwr package
- •10.2.1 t-tests
- •10.2.2 ANOVA
- •10.2.3 Correlations
- •10.2.4 Linear models
- •10.2.5 Tests of proportions
- •10.2.7 Choosing an appropriate effect size in novel situations
- •10.3 Creating power analysis plots
- •10.4 Other packages
- •10.5 Summary
- •11 Intermediate graphs
- •11.1 Scatter plots
- •11.1.3 3D scatter plots
- •11.1.4 Spinning 3D scatter plots
- •11.1.5 Bubble plots
- •11.2 Line charts
- •11.3 Corrgrams
- •11.4 Mosaic plots
- •11.5 Summary
- •12 Resampling statistics and bootstrapping
- •12.1 Permutation tests
- •12.2 Permutation tests with the coin package
- •12.2.2 Independence in contingency tables
- •12.2.3 Independence between numeric variables
- •12.2.5 Going further
- •12.3 Permutation tests with the lmPerm package
- •12.3.1 Simple and polynomial regression
- •12.3.2 Multiple regression
- •12.4 Additional comments on permutation tests
- •12.5 Bootstrapping
- •12.6 Bootstrapping with the boot package
- •12.6.1 Bootstrapping a single statistic
- •12.6.2 Bootstrapping several statistics
- •12.7 Summary
- •13 Generalized linear models
- •13.1 Generalized linear models and the glm() function
- •13.1.1 The glm() function
- •13.1.2 Supporting functions
- •13.1.3 Model fit and regression diagnostics
- •13.2 Logistic regression
- •13.2.1 Interpreting the model parameters
- •13.2.2 Assessing the impact of predictors on the probability of an outcome
- •13.2.3 Overdispersion
- •13.2.4 Extensions
- •13.3 Poisson regression
- •13.3.1 Interpreting the model parameters
- •13.3.2 Overdispersion
- •13.3.3 Extensions
- •13.4 Summary
- •14 Principal components and factor analysis
- •14.1 Principal components and factor analysis in R
- •14.2 Principal components
- •14.2.1 Selecting the number of components to extract
- •14.2.2 Extracting principal components
- •14.2.3 Rotating principal components
- •14.2.4 Obtaining principal components scores
- •14.3 Exploratory factor analysis
- •14.3.1 Deciding how many common factors to extract
- •14.3.2 Extracting common factors
- •14.3.3 Rotating factors
- •14.3.4 Factor scores
- •14.4 Other latent variable models
- •14.5 Summary
- •15 Time series
- •15.1 Creating a time-series object in R
- •15.2 Smoothing and seasonal decomposition
- •15.2.1 Smoothing with simple moving averages
- •15.2.2 Seasonal decomposition
- •15.3 Exponential forecasting models
- •15.3.1 Simple exponential smoothing
- •15.3.3 The ets() function and automated forecasting
- •15.4 ARIMA forecasting models
- •15.4.1 Prerequisite concepts
- •15.4.2 ARMA and ARIMA models
- •15.4.3 Automated ARIMA forecasting
- •15.5 Going further
- •15.6 Summary
- •16 Cluster analysis
- •16.1 Common steps in cluster analysis
- •16.2 Calculating distances
- •16.3 Hierarchical cluster analysis
- •16.4 Partitioning cluster analysis
- •16.4.2 Partitioning around medoids
- •16.5 Avoiding nonexistent clusters
- •16.6 Summary
- •17 Classification
- •17.1 Preparing the data
- •17.2 Logistic regression
- •17.3 Decision trees
- •17.3.1 Classical decision trees
- •17.3.2 Conditional inference trees
- •17.4 Random forests
- •17.5 Support vector machines
- •17.5.1 Tuning an SVM
- •17.6 Choosing a best predictive solution
- •17.7 Using the rattle package for data mining
- •17.8 Summary
- •18 Advanced methods for missing data
- •18.1 Steps in dealing with missing data
- •18.2 Identifying missing values
- •18.3 Exploring missing-values patterns
- •18.3.1 Tabulating missing values
- •18.3.2 Exploring missing data visually
- •18.3.3 Using correlations to explore missing values
- •18.4 Understanding the sources and impact of missing data
- •18.5 Rational approaches for dealing with incomplete data
- •18.6 Complete-case analysis (listwise deletion)
- •18.7 Multiple imputation
- •18.8 Other approaches to missing data
- •18.8.1 Pairwise deletion
- •18.8.2 Simple (nonstochastic) imputation
- •18.9 Summary
- •19 Advanced graphics with ggplot2
- •19.1 The four graphics systems in R
- •19.2 An introduction to the ggplot2 package
- •19.3 Specifying the plot type with geoms
- •19.4 Grouping
- •19.5 Faceting
- •19.6 Adding smoothed lines
- •19.7 Modifying the appearance of ggplot2 graphs
- •19.7.1 Axes
- •19.7.2 Legends
- •19.7.3 Scales
- •19.7.4 Themes
- •19.7.5 Multiple graphs per page
- •19.8 Saving graphs
- •19.9 Summary
- •20 Advanced programming
- •20.1 A review of the language
- •20.1.1 Data types
- •20.1.2 Control structures
- •20.1.3 Creating functions
- •20.2 Working with environments
- •20.3 Object-oriented programming
- •20.3.1 Generic functions
- •20.3.2 Limitations of the S3 model
- •20.4 Writing efficient code
- •20.5 Debugging
- •20.5.1 Common sources of errors
- •20.5.2 Debugging tools
- •20.5.3 Session options that support debugging
- •20.6 Going further
- •20.7 Summary
- •21 Creating a package
- •21.1 Nonparametric analysis and the npar package
- •21.1.1 Comparing groups with the npar package
- •21.2 Developing the package
- •21.2.1 Computing the statistics
- •21.2.2 Printing the results
- •21.2.3 Summarizing the results
- •21.2.4 Plotting the results
- •21.2.5 Adding sample data to the package
- •21.3 Creating the package documentation
- •21.4 Building the package
- •21.5 Going further
- •21.6 Summary
- •22 Creating dynamic reports
- •22.1 A template approach to reports
- •22.2 Creating dynamic reports with R and Markdown
- •22.3 Creating dynamic reports with R and LaTeX
- •22.4 Creating dynamic reports with R and Open Document
- •22.5 Creating dynamic reports with R and Microsoft Word
- •22.6 Summary
- •afterword Into the rabbit hole
- •appendix A Graphical user interfaces
- •appendix B Customizing the startup environment
- •appendix C Exporting data from R
- •Delimited text file
- •Excel spreadsheet
- •Statistical applications
- •appendix D Matrix algebra in R
- •appendix E Packages used in this book
- •appendix F Working with large datasets
- •F.1 Efficient programming
- •F.2 Storing data outside of RAM
- •F.3 Analytic packages for out-of-memory data
- •F.4 Comprehensive solutions for working with enormous datasets
- •appendix G Updating an R installation
- •G.1 Automated installation (Windows only)
- •G.2 Manual installation (Windows and Mac OS X)
- •G.3 Updating an R installation (Linux)
- •references
- •index
- •Symbols
- •Numerics
- •23.1 The lattice package
- •23.2 Conditioning variables
- •23.3 Panel functions
- •23.4 Grouping variables
- •23.5 Graphic parameters
- •23.6 Customizing plot strips
- •23.7 Page arrangement
- •23.8 Going further
Modifying the appearance of ggplot2 graphs |
455 |
The curve for males appears to increase from 0 to about 30 years and then decrease. The curve for women rises from 0 to 40 years. No women in the dataset received their degree more than 40 years ago. For most of the range where both genders have data, men have received higher salaries.
Stat functions
In this section, you’ve added smoothed lines to scatter plots. The ggplot2 package contains a wide range of statistical functions (called stat functions) for calculating the quantities necessary to produce a variety of data visualizations. Typically, geom functions call the stat functions implicitly, and you won’t need to deal with them directly. But it’s useful to know they exist. Each stat function has help pages that can aid you in understanding how the geoms work.
For example, the geom_smooth() function relies on the stat_smooth() function to calculate the quantities needed to plot a fitted line and its confidence limits. The help page for geom_smooth() is sparse, but the help page for stat_smooth() contains a wealth of useful information. When exploring how a geom works and what options are available, be sure to check out both the geom function and its related stat function(s).
19.7 Modifying the appearance of ggplot2 graphs
In chapter 3, you saw how to customize base graphics using graphical parameters placed in the par() function or specific plotting functions. Unfortunately, changing base graphics parameters has no effect on ggplot2 graphs. Instead, the ggplot2 package offers specific functions for changing the appearance of its graphs.
In this section, we’ll look at several functions that allow you to customize the appearance of ggplot2 graphs. You’ll learn how to customize the appearance of axes (limits, tick marks, and tick mark labels), the placement and content of legends, and the colors used to represent variable values. You’ll also learn how to create custom themes (allowing you to add a consistent look and feel to your graphs) and arrange several plots into a single graph.
19.7.1Axes
The ggplot2 package automatically creates plot axes with tick marks, tick mark labels, and axis labels. Often they look fine, but occasionally you’ll want to take greater control over their appearance. You’ve already seen how to use the labs() function to add a title and change the axis labels. In this section, you’ll customize the axes themselves. Table 19.6 contains functions that are useful for customizing axes.
Table 19.6 Functions that control the appearance of axes and tick marks
Function |
Options |
|
|
scale_x_continuous(), breaks= specifies tick marks, labels= specifies labels for tick marks, scale_y_continuous() and limits= controls the range of the values displayed.
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CHAPTER 19 Advanced graphics with ggplot2 |
Table 19.6 Functions that control the appearance of axes and tick marks (continued)
Function |
Options |
|
|
scale_x_discrete(), breaks= places and orders the levels of a factor, labels= specifies scale_y_discrete() the labels for these levels, and limits= indicates which levels should
be displayed.
coord_flip() |
Reverses the x and y axes. |
As you can see, ggplot2 functions distinguish between the x- and y-axes and whether an axis represents a continuous or discrete (factor) variable.
Let’s apply these functions to a graph with grouped box plots for faculty salaries by rank and sex. The code is as follows:
data(Salaries,package="car")
library(ggplot2)
ggplot(data=Salaries, aes(x=rank, y=salary, fill=sex)) + geom_boxplot() +
scale_x_discrete(breaks=c("AsstProf", "AssocProf", "Prof"), labels=c("Assistant\nProfessor",
"Associate\nProfessor", "Full\nProfessor")) +
scale_y_continuous(breaks=c(50000, 100000, 150000, 200000), labels=c("$50K", "$100K", "$150K", "$200K")) +
labs(title="Faculty Salary by Rank and Sex", x="", y="")
The resulting graph is provided in figure 19.16.
Clearly, average income goes up with rank, and men make more than women within each teaching rank. (For a more complete picture, try controlling for years since Ph.D.)
Faculty Salary by Rank and Sex
$200K
$150K
$100K
$50K
Assistant |
Associate |
Full |
Professor |
Professor |
Professor |
sex
Female
Male
Figure 19.16 Box plots of faculty salaries grouped by academic rank and sex. The axis text has been customized.
Modifying the appearance of ggplot2 graphs |
457 |
19.7.2Legends
Legends are guides that indicate how visual characteristics like color, shape, and size represent qualities of the data. The ggplot2 package generates legends automatically, and in many cases they suffice quite well. At other times, you may want to customize them. The title and placement are the most commonly customized characteristics.
When modifying a legend’s title, you have to take into account whether the legend is based on color, fill, size, shape, or a combination. In figure 19.16, the legend represents the fill aesthetic (as you can see in the aes() function), so you can change the title by adding fill="mytitle" to the labs() function.
The placement of the legend is controlled by the legend.position option in the theme() function. Possible values include "left", "top", "right" (the default), and "bottom". Alternatively, you can specify a two-element vector that gives the position within the graph. Let’s modify the graph in figure 19.16 so that the legend appears in the upper-left corner and the title is changed from sex to Gender. This can be accomplished with the following code:
data(Salaries,package="car")
library(ggplot2)
ggplot(data=Salaries, aes(x=rank, y=salary, fill=sex)) + geom_boxplot() +
scale_x_discrete(breaks=c("AsstProf", "AssocProf", "Prof"), labels=c("Assistant\nProfessor",
"Associate\nProfessor", "Full\nProfessor")) +
scale_y_continuous(breaks=c(50000, 100000, 150000, 200000), labels=c("$50K", "$100K", "$150K", "$200K")) +
labs(title="Faculty Salary by Rank and Gender", x="", y="", fill="Gender") +
theme(legend.position=c(.1,.8))
The results are shown in figure 19.17.
Figure 19.17 Box plots of faculty salaries grouped by academic rank. The axis text has been customized, along with the legend title and position.
Faculty Salary by Rank and Gender
Gender
$200K Female
Male
$150K
$100K
$50K
Assistant |
Associate |
Full |
Professor |
Professor |
Professor |
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In this example, the upper-left corner of the legend was placed 10% from the left edge and 80% from the bottom edge of the graph. If you want to omit the legend, use legend.position="none". The theme() function can change many aspects of a ggplot2 graph’s appearance; other examples are given in section 19.7.4.
19.7.3Scales
The ggplot2 package uses scales to map observations from the data space to the visual space. Scales apply to both continuous and discrete variables. In figure 19.15, a continuous scale was used to map the numeric values of the yrs.since.phd variable to distances along the x-axis and map the numeric values of the salary variable to distances along the y-axis.
Continuous scales can map numeric variables to other characteristics of the plot. Consider the following code:
ggplot(mtcars, aes(x=wt, y=mpg, size=disp)) + geom_point(shape=21, color="black", fill="cornsilk") +
labs(x="Weight", y="Miles Per Gallon",
title="Bubble Chart", size="Engine\nDisplacement")
The aes() parameter size=disp generates a scale for the continuous variable disp (engine displacement) and uses it to control the size of the points. The result is the bubble chart presented in figure 19.18. The graph shows that auto mileage decreases with both weight and engine displacement.
Miles Per Gallon
Bubble Chart
35
30
25
20
15
10
2 |
3 |
4 |
5 |
Engine
Displacement
100
200
300 |
400 |
Figure 19.18 Bubble chart of auto weight by mileage, with point size representing engine displacement
Weight
Modifying the appearance of ggplot2 graphs |
459 |
salary
200000
150000
100000
50000
0 |
20 |
40 |
yrs.since.phd
rank
AsstProf
AssocProf
Prof
Figure 19.19 Scatterplot of salary vs. experience for assistant, associate, and full professors. Point colors have been specified manually.
In the discrete case, you can use a scale to associate visual cues (for example, color, shape, line type, size, and transparency) with the levels of a factor. The code
data(Salaries, package="car")
ggplot(data=Salaries, aes(x=yrs.since.phd, y=salary, color=rank)) + scale_color_manual(values=c("orange", "olivedrab", "navy")) + geom_point(size=2)
uses the scale_color_manual() function to set the point colors for the three academic ranks. The results are displayed in figure 19.19.
If you’re color challenged like I am (does purple go with orange?), you can use color presets via the scale_color_brewer() and scale_fill_brewer() functions to specify attractive color sets. For example, try the code
ggplot(data=Salaries, aes(x=yrs.since.phd, y=salary, color=rank)) + scale_color_brewer(palette="Set1") + geom_point(size=2)
and see what you get. Replacing palette="Set1" with another value (such as "Set2",
"Set3", "Pastel1", "Pastel2", "Paired", "Dark2", or "Accent") will result in a different color scheme. To see the available color sets, use
library(RColorBrewer)
display.brewer.all()
to generate a display. For more information, see help(scale_color_brewer) and the ColorBrewer homepage (http://colorbrewer2.org).