13. Generalized Linear Models

  1. Michael J. Crawley

Published Online: 6 NOV 2012

DOI: 10.1002/9781118448908.ch13

The R Book, Second Edition

The R Book, Second Edition

How to Cite

Crawley, M. J. (2012) Generalized Linear Models, in The R Book, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118448908.ch13

Author Information

  1. Imperial College London at Silwood Park, UK

Publication History

  1. Published Online: 6 NOV 2012
  2. Published Print: 7 DEC 2012

ISBN Information

Print ISBN: 9780470973929

Online ISBN: 9781118448908

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Keywords:

  • generalized linear models;
  • error structure, linear predictor;
  • link function, and canonical link functions;
  • deviance, measuring goodness of fit of a GLM;
  • residuals, misspecified error structure;
  • generalized additive models;
  • offsets;
  • residuals, misspecified error structure/link function;
  • bootstrapping a GLM;
  • binomial GLM with ordered categorical variables

Summary

This chapter contains sections titled:

  • Error structure

  • Linear predictor

  • Link function

  • Proportion data and binomial errors

  • Count data and Poisson errors

  • Deviance: Measuring the goodness of fit of a GLM

  • Quasi-likelihood

  • The quasi family of models

  • Generalized additive models

  • Offsets

  • Residuals

  • Overdispersion

  • Bootstrapping a GLM

  • Binomial GLM with ordered categorical variables