Breslow and Clayton (J Am Stat Assoc 88:9–25,1993) was, and still is, a highly influential paper mobilizing the use of generalized linear mixed models in epidemiology and a wide variety of fields. An important aspect is the feasibility in implementation through the ready availability of related software in SAS (SAS Institute, PROC GLIMMIX, SAS Institute Inc., URL http://www.sas.com, 2007), S-plus (Insightful Corporation, S-PLUS 8, Insightful Corporation, Seattle, WA, URL http://www.insightful.com, 2007), and R (R Development Core Team, R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, URL http://www.R-project.org, 2006) for example, facilitating its broad usage. This paper reviews background to generalized linear mixed models and the inferential techniques which have been developed for them. To provide the reader with a flavor of the utility and wide applicability of this fundamental methodology we consider a few extensions including additive models, models for zero-heavy data, and models accommodating latent clusters.

Additional Metadata
Keywords Generalized linear mixed model, Longitudinal data analysis, Penalized quasi-likelihood, Random effects
Persistent URL dx.doi.org/10.1007/s10985-007-9065-x
Journal Lifetime Data Analysis
Citation
Dean, C.B., & Nielsen, J. (2007). Generalized linear mixed models: A review and some extensions. Lifetime Data Analysis, 13(4), 497–512. doi:10.1007/s10985-007-9065-x