Chapter 4. Introduction to Generalized Linear Models

  1. Alan Agresti

Published Online: 26 MAR 2003

DOI: 10.1002/0471249688.ch4

Categorical Data Analysis, Second Edition

Categorical Data Analysis, Second Edition

How to Cite

Agresti, A. (2003) Introduction to Generalized Linear Models, in Categorical Data Analysis, Second Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471249688.ch4

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:

  • generalized linear models;
  • logistic regression;
  • Poisson regression;
  • overdispersion;
  • quasi likelihood;
  • generalized additive models;
  • maximum likelihood;
  • Newton–Raphson method

Summary

Chapter 4 presents an introduction to generalized linear models. It introduces the most important models for binary data (logistic regression) and for counts (Poisson regression). It also gives a theoretical presentation of derivation of likelihood equations and methods of maximum likelihood model-fitting that apply for all models in this class. The chapter also presents extensions such as quasi likelihood and generalized additive models.