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Estimation in an empirical bayes model for longitudinal and cross‐sectionally clustered binary data
Authors:Andreas I Sashegyi  K Stephen Brown  Patrick J Farrell
Abstract:Some studies generate data that can be grouped into clusters in more than one way. Consider for instance a smoking prevention study in which responses on smoking status are collected over several years in a cohort of students from a number of different schools. This yields longitudinal data, also cross‐sectionaliy clustered in schools. The authors present a model for analyzing binary data of this type, combining generalized estimating equations and estimation of random effects to address the longitudinal and cross‐sectional dependence, respectively. The estimation procedure for this model is discussed, as are the results of a simulation study used to investigate the properties of its estimates. An illustration using data from a smoking prevention trial is given.
Keywords:Correlated binary responses  longitudinal data  cross‐sectional clustering  generalized estimating equations  empirical Bayes methods
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