This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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521
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Type:
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Contributed
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Date/Time:
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Wednesday, August 4, 2010 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Bayesian Statistical Science
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Abstract - #309255 |
Title:
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Empirical Bayes Confidence Intervals for Selected Parameters for a Large Number of Normal Populations with Unequal but Estimable Means and Variances
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Author(s):
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Zhigen Zhao* and Gene (J.T.) Hwang+
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Companies:
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Temple University and Cornell University
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Address:
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Department of Mathematics, Ithaca, NY, 14850,
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Keywords:
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empirical Bayes ;
selection ;
confidence interval ;
microarray ;
shrinkage
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Abstract:
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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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The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
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