DESCRIPTION (Adapted from the Applicant's Abstract): Complex dependent data
involving cluster sampling, longitudinal designs and hierarchical sampling
schemes arise frequently in epidemiologic studies of aging and chronic
diseases. Such data allow investigators to estimate important effects of
covariates on response in an efficient manner. For example, longitudinal data
are essential to assess changes in health status over time and determinants of
those changes; cluster designs arise naturally in studies involving groups such
as families or as the only feasible way to gather large probability samples.
Generalized linear mixed models and marginal methods such as generalized
estimating equation approaches provide effective analyses of complex dependent
data but give rise to additional estimation/inferential/interpretational
problems that this proposal will address. Generalized linear mixed models
typically involve intractable integrals and popular methods for avoiding this
integration yield highly biased estimates of covariate effects and variance
components. The generalized estimating equations approach offers several
alternative methods for confidence interval construction and variance
estimation but few studies have examined or compared the performance of these
methods and no guidelines exist to help data analysts choose appropriate and
efficient methods or to understand why different methods yield different
results. Case-control family designs should allow investigators to more
efficiently estimate the associations of interest in the case-control sample,
to estimate associations controlled for family characteristics and propensities
and to measure familial aggregation (within-family dependence) of the response.
However, there has been little investigation of statistical methods for such
data.
This research will develop and evaluate statistical methods to analyze complex
dependent data by developing and evaluating methods for fitting generalized
linear mixed models; developing guidelines for the choice of appropriate and
efficient confidence interval construction and variance estimation for marginal
models; and developing and evaluating methods to analyze case-control family
data.
This research extends our previous work and addresses many of the issues raised
by the 1996 Nantucket conference on the state of the art of methods for
longitudinal data analysis and the 1999 NSF-CBMS Regional Conference on
generalized linear mixed models. We will produce illustrative, comparative
analyses of data from several longitudinal and clustered studies of chronic
disease. The comparisons of alternative approaches will identify which are the
best for specific applications as well as potentially identify new methods. The
results of this research will provide clear guidelines as to the advantages and
disadvantages of alternative approaches so that biomedical investigators can
effectively construct and use longitudinal and cluster study designs, perform
improved inference and avoid inappropriate analyses or incorrect
interpretations.
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