Chapter 8. Loglinear Models for Contingency Tables

  1. Alan Agresti

Published Online: 26 MAR 2003

DOI: 10.1002/0471249688.ch8

Book Title

Categorical Data Analysis, Second Edition

Categorical Data Analysis, Second Edition

Additional Information

How to Cite

Agresti, A. (2003) Loglinear Models for Contingency Tables, in Categorical Data Analysis, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471249688.ch8

Author Information

  1. University of Florida, Gainesville, Florida, USA

Publication History

  1. Published Online: 26 MAR 2003
  2. Published Print: 3 JUL 2002

ISBN Information

Print ISBN: 9780471360933

Online ISBN: 9780471249689

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CHAPTER TOOLS

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Keywords:

  • loglinear models;
  • logit models;
  • independence;
  • conditional independence;
  • interaction;
  • odds ratio;
  • iterative methods;
  • table standardization

Summary

Chapter 8 presents loglinear models for contingency tables. It first considers loglinear models for two-way tables and then extends them to describe independence and interaction in multiway tables. It then presents methods of inference for loglinear models. After discussing connections between loglinear models and logit models, it presents details of loglinear model-fitting, including likelihood equations and asymptotic distributions, and Newton–Raphson and iterative proportional fitting.

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