Abstract #301239

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JSM 2003 Abstract #301239
Activity Number: 125
Type: Contributed
Date/Time: Monday, August 4, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Stat. Sciences
Abstract - #301239
Title: Modeling Differential Gene Expression Using a Dirichlet Process Mixture Model
Author(s): David B. Dahl*+
Companies: University of Wisconsin, Madison
Address: 1210 W. Dayton Street, Madison, WI, 53706,
Keywords: Dirichlet Process mixture model ; gene expression analysis ; DNA microarrays ; Markov chain Monte Carlo methods
Abstract:

The statistical literature has given considerable attention to the task of identifying differentially expressed genes using data from DNA microarrays. Proposed methods typically focus on finding differential expression between two treatment conditions. This paper proposes a model which simultaneously estimates expression levels for an arbitrary number of treatment conditions. The model is a conjugate Dirichlet Process mixture of Gaussian components. Probabilities for over- and under-expression between pairs of treatment combinations are readily computed as well as probabilities for more complicated contrasts involving many treatments. Since the mixing time for such Dirichlet Process mixture models can be slow, a new proposal mechanism for the Metropolis-Hastings algorithm is introduced and compared to the standard Gibbs update. The model is fit to an example dataset.


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