Generalized Linear Mixed Models

  1. Eugene Demidenko

Published Online: 28 JAN 2005

DOI: 10.1002/0471728438.ch7

Mixed Models: Theory and Applications

Mixed Models: Theory and Applications

How to Cite

Demidenko, E. (2004) Generalized Linear Mixed Models, in Mixed Models: Theory and Applications, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471728438.ch7

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 28 JUL 2004

ISBN Information

Print ISBN: 9780471601616

Online ISBN: 9780471728436



  • generalized linear mixed models;
  • binary regression models;
  • probability functions;
  • logistics regression;
  • binomial distribution


This chapter includes the following topics:

  • Regression Models for Binary Data

  • Binary Model with Subject-Specific Intercept

  • Logistic Regression with Random Intercept

  • Probit Model with Random Intercept

  • Poisson Model with Random Intercept

  • Random Intercept Model: Overview

  • Mixed Models with Multiple Random Effects

  • Homogeneity Tests

  • GLMM and Simulation Methods

  • GEE for Clustered Marginal GLM

  • Criteria for MLE Existence for Binary Model

  • Summary Points