Chambers J. Graphical Methods for Data Analysis

CRC Press, 2017. — 410 p. — ISBN: 0-412-05271-7.This book present graphical methods for analysing data. Some methods are new and some are old, some require a computer and others only paper and pencil; but they are all powerful data analysis tools. In many situations, a set of data even a large set- can be adequately analysed through graphical methods alone. In most other situations, a few well-chosen graphical displays can significantly enhance numerical statistical analyses.Why Graphics?
What is a Graphical Method for Analyzing Data?
A Summary of the Contents
The Selection and Presentation of Materials
Data Sets
Quality of Graphical Displays
How Should This Book Be Used?
Portraying the Distribution of a Set of DataQuantile Plots
Symmetry
One-Dimensional Scatter Plots
Box Plots
Histograms
Stem-and-Leaf Diagrams
Symmetry Plots and Transformations
Density Traces
Summary and Discussion
Further Reading
Exercises
Comparing Data DistributionsEmpirical Quantile-Quantile Plots
Collections of Single-Data-Set Displays
Notched Box Plots
Multiple Density Traces
Plotting Ratios and Differences
Summary and Discussion
Further Reading
Exercises
Studying Two-Dimensional DataNumerical Summaries are not Enough
Examples
Looking at the Scatter Plots
Studying the Dependence of y on x by Summaries in Vertical Strips
Studying the Dependence of y on x by Smoothing
Studying the Dependence of the Spread of y on x by Smoothing Absolute Values of Residuals
Fighting Repeated Values with Jitter and Sunflowers
Showing Counts with Cellulation and Sunflowers
Two-Dimensional Local Densities and Sharpening
Mathematical Details of Lowess
Summary and Discussion
Further Reading
Exercises
Plotting Multivariate DataOne-Dimensional and Two-Dimensional Views
Plotting Three Dimensions at Once
Plotting Four and More Dimensions
Combinations of Basic Methods
First Aid and Transformation
Coding Schemes for Plotting Symbols
Summary and Discussion
Further Reading
Exercises
Assessing Distributional Assumptions About DataTheoretical Quantile-Quantile Plots
More on Empirical Quantiles and Theoretical Quantiles
Properties of the Theoretical Quantile-Quantile Plot
Deviations from Straight-Line Patterns
Two Cautions for Interpreting Theoretical Quantile-Quantile Plots
Distributions with Unknown Shape Parameters
Constructing Quantile-Quantile Plots
Adding Variability Information to a Quantile-Quantile Plot
Censored and Grouped Data
Summary and Discussion
Further Reading
Exercises
Developing and Assessing Regression ModelsThe Linear Model
Simple Regression
Preliminary Plots
Plots During Regression Fitting
Plots After the Model is Fitted
A Case Study
Some Special Regression Situations
Summary and Discussion
Further Reading
Exercises
General Principles and TechniquesOverall Strategy and Thought
Visual Perception
General Techniques of Plot Construction
ScalesAppendix: Tables of Data Sets