This text is a Stata-specific treatment of generalized linear mixed models,
also known as multilevel or hierarchical models. These models are "mixed" in
the sense that they allow fixed and random effects and are "generalized" in
the sense that they are appropriate not only for continuous Gaussian
responses but also for binary, count, and other types of limited dependent
variables.
Beginning with the comparatively simple random-intercept linear model without
covariates, the text develops the mixed model from first principles,
familiarizing the reader with terminology, summarizing and relating the
widely used estimating strategies, and providing historical perspective.
Once this mixed-model foundation has been established, the text smoothly
generalizes to random-intercept models with covariates and then to
random-coefficient models. The middle chapters of the text apply the
concepts defined earlier for Gaussian models to models for binary responses
(e.g., logit and probit), ordinal responses (e.g., ordered logit and ordered
probit), and count responses (e.g., Poisson). Models with multiple levels of
random variation are then considered, as well as models with crossed
(nonnested) random effects. The datasets used are real data from the
medical, social, and behavioral sciences literature, and several
thought-provoking exercises are included at the end of each chapter.
The text is loaded with applications of generalized mixed models performed in
Stata. The authors are the developers of gllamm, a Stata program that
can fit a vast array of latent-variable models, of which the generalized
linear mixed model is a special case. With the release of version 9, Stata
introduced the xtmixed command for fitting linear (Gaussian) mixed
models. These two commands, combined with the rest of the xt suite of
Stata commands (e.g., xtlogit, xtprobit), can be used in
conjunction to perform comparative mixed-model analyses for various
response families. The types of models fit by these commands sometimes
overlap, and when this occurs the authors highlight the differences in syntax,
data organization, and output for the two (or more) commands that can be used
to fit the same model. The text also points out the relative strengths and
weaknesses of each command when used to fit the same model, based on issues
such as computational speed, accuracy, and available predictions and
postestimation statistics. In particular, the relationship between
gllamm and xtmixed and how they complement each other is made
very clear.
In summary, this text is the most complete and up-to-date depiction of Stata's
capacity for fitting generalized linear mixed models and an ideal
introduction for Stata users wishing to learn about this powerful
data-analysis tool.
For further details or to order online, please visit the
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