JSM 2005 - Toronto

Abstract #303034

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 56
Type: Topic Contributed
Date/Time: Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #303034
Title: Variable Selection in Semiparametric Mixed Effects Models
Author(s): Bo Cai*+ and
Companies: National Institute of Environmental Health Sciences and National Institute of Environmental Health Sciences
Address: POBox 12233 MD A3 03, Durham, NC, 27709, United States
Keywords: Dirichlet process ; Latent variables ; Nonparametric Bayes ; Reparameterization ; Stochastic search ; Variable selection
Abstract:

In analyzing longitudinal or clustered data with a mixed effects model (Laird and Ware 1982), one may be concerned about violations of normality of the random effects and residuals. Such violations can potentially impact subset selection for the fixed and random effect components of the model and inferences on the heterogeneity structure. To address this problem, this article proposes a Bayesian approach for variable selection in semiparametric mixed effects models. To avoid parametric assumptions on the densities of the residuals and the random effects for predictors included in the model, we use Dirichlet process mixtures of normals. We also allow uncertainty in the predictors to be included in the fixed and random effect components through variable selection priors. A stochastic search Gibbs sampler is developed and the methods are illustrated using simulated and real data from an epidemiologic study.


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Revised March 2005