Log-Linear Models

1. Front Matter

   Pages i-xi

   PDF

2. Introduction

   • Ronald Christensen

   Pages 1-22

3. Two-Dimensional Tables

   • Ronald Christensen

   Pages 23-60

4. Three-Dimensional Tables

   • Ronald Christensen

   Pages 61-98

5. Higher Dimensional Tables

   • Ronald Christensen

   Pages 99-166

6. Models for Factors with Quantitative Levels

   • Ronald Christensen

   Pages 167-184

7. The Matrix Approach to Log-Linear Models

   • Ronald Christensen

   Pages 185-232

8. Response Factors and Logistic Discrimination

   • Ronald Christensen

   Pages 233-299

9. The Matrix Approach to Logit Models

   • Ronald Christensen

   Pages 300-331

10. Fixed and Random Zeros

    • Ronald Christensen

    Pages 332-348

11. Generalized Linear Models

    • Ronald Christensen

    Pages 349-364

12. Maximum Likelihood Theory for Log-Linear Models

    • Ronald Christensen

    Pages 365-389

13. Back Matter

    Pages 390-409

    PDF

This book examines log-linear models for contingency tables. Logistic re­ gression and logistic discrimination are treated as special cases and gener­ alized linear models (in the GLIM sense) are also discussed. The book is designed to fill a niche between basic introductory books such as Fienberg (1980) and Everitt (1977) and advanced books such as Bishop, Fienberg, and Holland (1975), Haberman (1974), and Santner and Duffy (1989). lt is primarily directed at advanced Masters degree students in Statistics but it can be used at both higher and lower levels. The primary theme of the book is using previous knowledge of analysis of variance and regression to motivate and explicate the use of log-linear models. Of course, both the analogies and the distinctions between the different methods must be kept in mind. The book is written at several levels. A basic introductory course would take material from Chapters I, II (deemphasizing Section II. 4), III, Sec­ tions IV. 1 through IV. 5 (eliminating the material on graphical models), Section IV. lü, Chapter VII, and Chapter IX. The advanced modeling ma­ terial at the end of Sections VII. 1, VII. 2, and possibly the material in Section IX. 2 should be deleted in a basic introductory course. For Mas­ ters degree students in Statistics, all the material in Chapters I through V, VII, IX, and X should be accessible. For an applied Ph. D.

• Log-linear models
• Variance
• analysis of variance
• contingency
• knowledge
• logistic regression
• statistics
• tables

"Christensen's introduction...is more thorough than many introductory texts yet more accessible than the advanced books... a fine book, and anyone who works through it will develop a good grounding in the theory and practice of log-linear modeling." (Journal of the Am. Statistical Assoc.)

• Department of Mathematics and Statistics, University of New Mexico, Albuquerque, USA

  Ronald Christensen

Policies and ethics