Log-Linear Models and Logistic Regression

by Ronald Christensen

Overview

As the new title indicates, this second edition of Log-Linear Models has been modified to place greater emphasis on logistic regression. In addition to new material, the book has been radically rearranged. The fundamental material is contained in Chapters 1-4. Intermediate topics are presented in Chapters 5 through 8. Generalized linear models are presented in Ch- ter 9. The matrix approach to log-linear models and logistic regression is presented in Chapters 10-12, with Chapters 10 and 11 at the applied Ph.D. level and Chapter 12 doing theory at the Ph.D. level. The largest single addition to the book is Chapter 13 on Bayesian bi- mial regression. This chapter includes not only logistic regression but also probit and complementary log-log regression. With the simplicity of the Bayesian approach and the ability to do (almost) exact small sample s- tistical inference, I personally find it hard to justify doing traditional large sample inferences. (Another possibility is to do exact conditional inference, but that is another story.) Naturally, I have cleaned up the minor flaws in the text that I have found. All examples, theorems, proofs, lemmas, etc. are numbered consecutively within each section with no distinctions between them, thus Example 2.3.1 will come before Proposition 2.3.2. Exercises that do not appear in a section at the end have a separate numbering scheme. Within the section in which it appears, an equation is numbered with a single value, e.g., equation (1).

Product Details

ISBN-13:	9781475771138
Publisher:	Springer New York
Publication date:	03/08/2013
Series:	Springer Texts in Statistics
Edition description:	Second Edition 1997
Pages:	484
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

About the Author

Ronald Christensen is a Distinguished Professor of Statistics at the University of New Mexico.

He is well known for his work on the theory and application of statistical models having linear structure.

In addition to numerous technical articles, he is the author of Plane Answers to Complex Questions: The Theory of Linear Models; Advanced Linear Modeling: Statistical Learning and Dependent Data; Analysis of Variance, Design, and Regression: Linear Modeling for Unbalanced Data and coauthor of Bayesian Ideas and Data Analysis: An Introduction for Scientists and Statisticians.

Dr. Christensen is a fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics. His is a past editor of The American Statistician and a past chair of the ASA's Section on Bayesian Statistical Science.

Table of Contents

Two-Dimensional Tables and Simple Logistic Regression.- Three-Dimensional Tables.- Logistic Regression, Logit Models, and Logistic Discrimination.- Independence Relationships and Graphical Models.- Model Selection Methods and Model Evaluation.- Models for Factors with Quantitative Levels.- Fixed and Random Zeros.- Generalized Linear Models.- The Matrix Approach to Log-Linear Models.- The Matrix Approach to Logit Models.- Maximum Likelihood Theory for Log-Linear Models.- Bayesian Binomial Regression.