Contents
Preface
Acknowledgments
1 Discrete Distributions
1.1 Introduction
1.2 The Binomial Distribution
1.3 The Poisson Distribution
1.4 The Multinomial Distribution
1.5 Negative Binomial and Negative Multinomial Distributions
2 Basic Log-Linear Models and the GENMOD Procedure
2.1 Introduction
2.2 Log-Linear Models for a 2x2 Table
2.3 Log-Linear Models in Higher Dimensions
2.4 Residuals for Log-Linear Models
2.5 Tests of Statistical Significance
2.6 The Likelihood Function
3 Ordered Categorical Variables
3.1 Introduction
3.2 Log-Linear Models with One Ordered Category
3.3 Two Cross-Classified Ordered Categories
4 Non-Rectangular Tables
4.1 Introduction
4.2 Independence in a Triangular Table
4.3 Interactions in a Circular Table
4.4 Bradley-Terry Model for Pairwise Comparisons
5 Poisson Regression
5.1 Introduction
5.2 Poisson Regression for Mortality Data
5.3 Poisson Regression with Overdispersion
6 Finite Population Size Estimation
6.1 Introduction
6.2 A Small Example
6.3 A Larger Number of Lists
7 Truncated Poisson Regression
7.1 Introduction
7.2 Mathematical Background
7.3 Truncated Poisson Models with Covariates
7.4 An Example with Overdispersion
7.5 Diagnostics and Options
8 The Hypergeometric Distribution
8.1 Introduction
8.2 Derivation of the Distribution
8.3 Extended Hypergoemetric Distribution
8.4 Hypergeometric Regression
8.5 Comparing Several 2x2 Tables
9 Sample Size Estimation and Power for Log-Linear Models
9.1 Introduction
9.2 Background Theory
9.3 Power for a 2x2 Table
9.4 Sample Size for an Interaction
9.5 Power for a Known Sample Size
A The Output Delivery System
B Programming Statements for Generalized Linear Models
C Additional Readings
References
Index