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Activity Number: 258
Type: Invited
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: International Society of Bayesian Analysis
Abstract - #307867
Title: The Matrix Stick-Breaking Process: Flexible Bayes Meta-Analysis
Author(s): David B. Dunson*+
Companies: National Institute of Environmental Health Sciences
Address: NIH, P.O. Box 12233, MD A3-03, 111 T.W. Alexander Dr, Research Triangle Park, NC, 27709,
Keywords: Meta analysis ; Random effects ; Hierarchical model ; Bayesian ; Nonparametric ; Dirichlet process
Abstract:

In analyzing data from multiple related studies, it is often of interest to borrow information across studies and to cluster similar studies. Although parametric hierarchical models are commonly used, a concern is sensitivity to the form chosen for the random effects distribution. A Dirichlet process (DP) prior can allow the distribution to be unknown, while clustering studies. However, the DP does not allow local clustering of studies with respect to a subset of the coefficients without making independence assumptions. Motivated by this problem, we propose a matrix stick-breaking process (MSBP) as a prior for a matrix of random probability measures. Properties are considered, computational methods are developed, and the approach is illustrated using data from a multinational uterotrophic bioassay study.


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Revised September, 2007