JSM 2011 Online Program

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Abstract Details

Activity Number: 400
Type: Topic Contributed
Date/Time: Tuesday, August 2, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #302058
Title: Bayesian Inference About Variances and Subpopulation Effects in a One-Way Random-Effects Model When the Subpopulations Are Clustered
Author(s): Guofen Yan*+
Companies: University of Virginia
Address: Department of Public Health Sciences, Charlottesville, VA, 22908-0717, USA
Keywords: Exchangeability ; Random effects ; Shrinkage ; Subpopulation estimates ; Survey sample
Abstract:

We provide methodology to relax the assumption that all subpopulation effects in a linear mixed-effects model have, after adjustment for covariates, a common mean. We expand the model specification by assuming that the m subpopulation effects are allowed to cluster into d groups and the composition of the d groups are unknown, a priori. We show that failure to take account of the clustering, as with the customary method, will lead to serious errors in inference about the variances and subpopulation effects, but the proposed model leads to appropriate inferences. The efficacy of the proposed method is evaluated by contrasting it with both the customary method and use of a Dirichlet process prior.


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