Marginal Models for Dependent, Clustered, and Longitudinal
Categorical Data provides a comprehensive overview of the basic
principles of marginal modeling and offers a wide range of possible
applications. Marginal models are often the best choice for
answering important research questions when dependent observations
are involved, as the many real world examples in this book
show.
In the social, behavioral, educational, economic, and biomedical
sciences, data are often collected in ways that introduce
dependencies in the observations to be compared. For example, the
same respondents are interviewed at several occasions, several
members of networks or groups are interviewed within the same
survey, or, within families, both children and parents are
investigated. Statistical methods that take the dependencies in the
data into account must then be used, e.g., when observations at
time one and time two are compared in longitudinal studies. At
present, researchers almost automatically turn to multi-level
models or to GEE estimation to deal with these dependencies.
Despite the enormous potential and applicability of these recent
developments, they require restrictive assumptions on the nature of
the dependencies in the data. The marginal models of this book
provide another way of dealing with these dependencies, without the
need for such assumptions, and can be used to answer research
questions directly at the intended marginal level. The maximum
likelihood method, with its attractive statistical properties, is
used for fitting the models.
This book has mainly been written with applied researchers in
mind. It includes many real world examples, explains the types of
research questions for which marginal modeling is useful, and
provides a detailed description of how to apply marginal models for
a great diversity of research questions. All these examples are
presented on the book's website (www.cmm.st), along with user
friendly programs.
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