JSM 2011 Online Program

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Abstract Details

Activity Number: 236
Type: Contributed
Date/Time: Monday, August 1, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #303176
Title: Gibbs Ensembles for Nearly Compatible and Incompatible Conditional Models
Author(s): Shyh-Huei Chen*+ and Edward H. Ip and Yuchung J. Wang
Companies: Wake Forest University School of Medicine and Wake Forest University School of Medicine and Rutgers University
Address: , , NC, 27157,
Keywords: Gibbs sampler ; Conditionally specified distribution ; Linear programming ; Ensemble method; Odds ratio
Abstract:

The Gibbs sampler has been used exclusively for compatible conditionals that converge to a unique invariant joint distribution. However, conditional models are not always compatible. In this paper, a Gibbs sampling-based approach-using the Gibbs ensemble-is proposed for searching for a joint distribution that deviates least from a prescribed set of conditional distributions. The algorithm can be easily scalable, such that it can handle large data sets of high dimensionality. Using simulated data, we show that the proposed approach provides joint distributions that are less discrepant from the incompatible conditionals than those obtained by other methods discussed in the literature. The ensemble approach is also applied to a data set relating to geno-polymorphism and response to chemotherapy for patients with metastatic colorectal cancer.


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