Advertisement

Log-Linear Models

  • Ronald Christensen

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ronald Christensen
    Pages 1-22
  3. Ronald Christensen
    Pages 23-60
  4. Ronald Christensen
    Pages 61-98
  5. Ronald Christensen
    Pages 99-166
  6. Ronald Christensen
    Pages 167-184
  7. Ronald Christensen
    Pages 185-232
  8. Ronald Christensen
    Pages 233-299
  9. Ronald Christensen
    Pages 300-331
  10. Ronald Christensen
    Pages 332-348
  11. Ronald Christensen
    Pages 349-364
  12. Ronald Christensen
    Pages 365-389
  13. Back Matter
    Pages 390-409

About this book

Introduction

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.

Keywords

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

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4111-7
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-4113-1
  • Online ISBN 978-1-4757-4111-7
  • Series Print ISSN 1431-875X
  • Series Online ISSN 2197-4136
  • Buy this book on publisher's site