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Log-Linear Models

  • Textbook
  • © 1990

Overview

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

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Table of contents (11 chapters)

Keywords

About this book

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.

Reviews

"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.)

Authors and Affiliations

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

    Ronald Christensen

Bibliographic Information

  • Book Title: Log-Linear Models

  • Authors: Ronald Christensen

  • Series Title: Springer Texts in Statistics

  • DOI: https://doi.org/10.1007/978-1-4757-4111-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York 1990

  • eBook ISBN: 978-1-4757-4111-7Published: 14 December 2013

  • Series ISSN: 1431-875X

  • Series E-ISSN: 2197-4136

  • Edition Number: 1

  • Number of Pages: XI, 409

  • Topics: Applications of Mathematics

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