NSF-CBMS Regional Conference Series in Probability and Statistics

Generalized Linear Mixed Models

Charles E. McCulloch

Book information

Charles E. McCulloch

Publication information
Regional Conference Series in Probability and Statistics, Volume 7
Beechwood OH and Alexandria VA: Institute of Mathematical Statistics and American Statistical Association, 2003
84 pp.

Publication date: 2003
First available in Project Euclid: 1 May 2016

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Charles E. McCulloch, Generalized Linear Mixed Models (Beachwood OH: Institute of Mathematical Sciences; Alexandria VA: American Statistical Association, 2003)

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This monograph is written assuming familiarity with linear models and matrix algebra and some exposure to mixed models and logistic regression. References are given to more standard texts that cover some of the basic material in more depth. The monograph begins with an extended example that introduces all the main ideas. Chapters 2 and 3 briefly review linear mixed and generalized linear models and Chapter 4 defines and introduces GLMMs. Chapter 5 illustrates the breadth of inferential goals possible with GLMMs. One of my main attractions in conducting research on this class of models was the wide variety of practical applications. Chapters 6 through 9 contain the "meat" and tackle the difficult aspects fitting these models to data. The monograph is organized along the lines of the CBMS lectures.