Statistical Graphics for Univariate and

Graphical displays that researchers can employ as an integral part of the data analysis process are frequently more revealing than traditional, numerical summary statistics. Providing strategies for examining data more effectively, this volume focuses on: univariate methods such as histograms, smoothed histograms, univariate scatterplots, quantile plots, box plots, dot plots. It describes bivariate methods such as scatterplot construction guidelines, jittering for overplotted points, marginal boxplots, scatterplot slicing, the Loess procedure for nonparametric scatterplot smoothing, and banking to 45 degrees for enhanced visual perception.

Series Editor's Introduction

v

Introduction

1

(12)

What This Monograph Is (and is not) About

2

(1)

The Objectives of Graphical Methods

2

(2)

The Advantages of Graphical Approaches to Data Analysis

4

(4)

Graphical Perception

8

(2)

Detection

8

(1)

Assembly

9

(1)

Estimation

9

(1)

Conclusions

10

(3)

Graphical Displays for Univariate Data

13

(38)

Histograms

13

(5)

Smoothed Histograms

18

(12)

Unidimensional Scatterplots

30

(2)

Quantile Plots

32

(6)

Box Plots

38

(5)

Dot Plots

43

(5)

Conclusions

48

(3)

Graphical Displays for Bivariate Data

51

(36)

Definition and Construction Guidelines for Bivariate Scatterplots

52

(2)

Enhancements for Bivariate Scatterplots

54

(6)

Jittering for Overplotting and Repeated Data Points

54

(2)

Marginal Box Plots

56

(3)

Labeling Points

59

(1)

Slicing a Scatterplot

60

(4)

Nonparametric Scatterplot Smoothing

64

(2)

The Loess Smoother

64

(2)

The Details of Fitting a Loess Smooth Curve

66

(8)

Fitting Parameters and Diagnostics for the Loess Smooth Curve

74

(9)

Specifying α, the Smoothing Parameter

74

(6)

Specifying λ, the Degree of the Loess Polynomial

80

(1)

Goodness of Fit for a Loess Smooth Curve

81

(2)

Aspect Ratio and Banking to 45 Degrees

83

(4)

Conclusions

87

(1)

Conclusions

87

(2)

Notes

89

(4)

References

93

(4)

About the Author

97

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Statistical Graphics for Univariate and Bivariate Data

Summary

Table of Contents

Supplemental Materials