This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 521
Type: Contributed
Date/Time: Wednesday, August 4, 2010 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #309255
Title: Empirical Bayes Confidence Intervals for Selected Parameters for a Large Number of Normal Populations with Unequal but Estimable Means and Variances
Author(s): Zhigen Zhao* and Gene (J.T.) Hwang+
Companies: Temple University and Cornell University
Address: Department of Mathematics, Ithaca, NY, 14850,
Keywords: empirical Bayes ; selection ; confidence interval ; microarray ; shrinkage
Abstract:

In modern application, such as microarray experiments, scientists are especially interested in the inference of parameters which have been selected. Scientists often constructed the usual interval, ignoring the fact that these genes have been selected. However, this interval suffers low coverage probability. The other commonly used method is to construct the interval with Bonferroni's correction which guarantees good coverage probability but has a long length. In this paper, we assume that the observation are normally distributed with unequal and unknown variance. The parameter has been selected according to the magnitude of the t-value. We compare this new approach with Bonferroni's Correction. Our interval has good empirical Bayes coverage probability, and has much shorter average length. Our interval is also applied to the Spike-in data. Come and see how it works out.


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