Chapter 12. Random Effects: Generalized Linear Mixed Models for Categorical Responses

  1. Alan Agresti

Published Online: 26 MAR 2003

DOI: 10.1002/0471249688.ch12

Categorical Data Analysis, Second Edition

Categorical Data Analysis, Second Edition

How to Cite

Agresti, A. (2003) Random Effects: Generalized Linear Mixed Models for Categorical Responses, in Categorical Data Analysis, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471249688.ch12

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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Keywords:

  • repeated measures;
  • clustered data;
  • subject-specific;
  • random effects;
  • mixed models;
  • logistic-normal model;
  • overdispersion;
  • Gauss–Hermite quadrature

Summary

Chapter 12 introduces random effects in generalized linear mixed models as an alternative way of handling clustered data. For binary responses, it introduces the logistic-normal model. It presents several examples of random effects models for binary data, and then shows extensions for random effects models for multinomial data and for multivariate binary data. The chapter finishes with details about model-fitting, inference, and prediction.