# Log-Linear Models and Logistic Regression

• Ronald Christensen
Textbook

Part of the Springer Texts in Statistics book series (STS)

1. Front Matter
Pages i-xv
2. Pages 1-22
3. Pages 69-115
4. Pages 178-210
5. Pages 211-257
6. Pages 258-278
7. Pages 279-296
8. Pages 297-313
9. Pages 314-362
10. Pages 363-395
11. Pages 396-421
12. Pages 422-454
13. Back Matter
Pages 455-484

### Introduction

As the new title indicates, this second edition of Log-Linear Models has been modi?ed 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 ?nd it hard to justify doing traditional large sample inferences. (Another possibility is to do exact conditional inference, but that is another story.) Naturally,Ihavecleaneduptheminor?awsinthetextthatIhavefound. All examples, theorems, proofs, lemmas, etc. are numbered consecutively within each section with no distinctions between them, thus Example 2.3.1 willcomebeforeProposition2.3.2.Exercisesthatdonotappearinasection 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).

### Keywords

Generalized linear model Likelihood Logistic Regression SAS Variance analysis of variance binomial

#### Authors and affiliations

• Ronald Christensen
• 1
1. 1.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA

### Bibliographic information

• DOI https://doi.org/10.1007/b97647
• Copyright Information Springer-Verlag New York, Inc. 1997
• Publisher Name Springer, New York, NY
• eBook Packages
• Print ISBN 978-0-387-98247-2
• Online ISBN 978-0-387-22624-8
• Series Print ISSN 1431-875X
• Buy this book on publisher's site
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