Statistics. David W. Scott

9.7 Logistic Regression, Poisson Regression, and the Generalized Linear Model 9.8 Robustness 9.9 Conclusions

      12  Appendices A Notation Used in This Book B Common Distributions C Using R and Mathematica For This Text

      13  Bibliography

      14  Index

      15  End User License Agreement

      List of Tables

      1 Chapter 1Table 1.1 Lord Rayleigh's 24 measurements (sorted) of the weight of a sample ...

      2 Chapter 3Table 3.1 Probabilities for roll of a single die.Table 3.2 The 36 equally likely simple outcomes when rolling a pair of dice.Table 3.3 Probability distribution function for the sum of pips on two dice.

      3 Chapter 7Table 7.1 Truth table for hypothesis testing.Table 7.2 Upper critical values for the two‐sided

‐test versus

‐test.

      4 Chapter 8Table 8.1 Data for testing the adequacy of a normal model.Table 8.2 Contingency table for Scottish children.Table 8.3 Expected values assuming independence of sex and hair color.

      List of Illustrations

      1 Chapter 1Figure 1.1 Displays of the father–son height data collected by Karl Pearson:...Figure 1.2 Histograms of the sons' heights (top row) and fathers' heights (b...Figure 1.3 Displays of Lord Rayleigh's 24 measurements of the atomic weight ...Figure 1.4 Scatter diagrams of the raw and

‐transformed body and brain weig...Figure 1.5 Analysis of the number of O‐ring failures for the first 24 Space ...Figure 1.6 Father–son height data collected by Karl Pearson.Figure 1.7 Box–Cox transformation on natural and log scales.

      2 Chapter 2Figure 2.1 (Left) Venn diagram of the classical probability experiment rolli...Figure 2.2 Four possible relationships between events

and

.Figure 2.3 Probability that

students all have different birthdays, plotted...Figure 2.4 (Left) Venn diagram of partition of

into

sets

; (middle) set...Figure 2.5 Illustration of the FPC. Select one of

, then one of

, and fina...Figure 2.6 A series network (left) and parallel network (right) of

compone...

      3 Chapter 3Figure 3.1 (Left) The cumulative distribution function for the roll of a sin...Figure 3.2 (Left) The cumulative distribution function for the sum of pips o...Figure 3.3 (Left) The CDF for a

density; and (right) its PDF.Figure 3.4 The shaded areas give the probabilities of the events

,

, and

Figure 3.5 The CDF and PDF of an isosceles triangular distribution.Figure 3.6 Binomial PMF for various combinations of

and

.Figure 3.7 Binomial CDF for

and

as in Figure 3.6.Figure 3.8 The two disjoint events that result in

calls in

, ignoring the...Figure 3.9 Examples of the Poisson PMF, where

.Figure 3.10 Examples of the discrete Poisson PMF, Pois

, and the continuous ...Figure 3.11 Gauss on the German Mark bill. Note the Gaussian curve.Figure 3.12 Standard normal CDF,

, and PDF,

, for

.

      4 Chapter 4Figure 4.1 Joint bivariate PMF. Each arrow displays a probability of

.Figure 4.2 Conditional PDF,

, before normalization.Figure 4.3 Transformations of a

r.v.; see text.Figure 4.4 Sample transformations:

and

. The range and domain of this tra...Figure 4.5 Standard Cauchy and normal PDFs.Figure 4.6 Generic PIT diagram. The red strip represents the event

while t...

      5 Chapter 5Figure 5.1 Example of a convex function

with two red