Abstract #301834

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JSM 2003 Abstract #301834
Activity Number: 22
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Stat. Sciences
Abstract - #301834
Title: Bayesian Testing of Precise Hypotheses for Several Normal Means
Author(s): Andrew A. Neath*+
Companies: Southern Illinois University
Address: Dept. of Math & Statistics, Edwardsville, IL, 62026-0001,
Keywords: hierarchical Bayes ; empirical Bayes ; model averaging
Abstract:

A precise, point, or small interval hypothesis is reasonable in many testing situations. Yet this case is often mishandled by common statistical approaches, both from frequentist and Bayesian perspectives. We present an example where pairwise comparisons are to be performed on means from several normally distributed populations. Our result gives a different view of statistical uncertainty within this problem, as well as a more general type of a "shrinkage" estimator.


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