This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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609
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Type:
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Topic Contributed
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Date/Time:
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Thursday, August 5, 2010 : 8:30 AM to 10:20 AM
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Sponsor:
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Biometrics Section
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Abstract - #308965 |
Title:
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Distributions for p-Values
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Author(s):
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Daniel Zelterman and Chang Yu*+
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Companies:
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Vanderbilt University Medical Center and Yale University
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Address:
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S-2323 Medical Center North, Nashville, TN, 37232-2158,
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Keywords:
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multiple hypothesis testing ;
microarray experiments ;
quantile function ;
extreme order statistics
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Abstract:
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What is the distribution of the p-value under the alternative hypothesis? We derive two such distributions that include the uniform as a special case. The first distribution is useful when there is a single, well-defined alternative hypothesis that is known up to parameter values to be estimated. This distribution allows us to provide separate estimates of these parameters and a proportion of p-values sampled from the null hypothesis. A second distribution is also developed to model p-values when the alternative hypothesis is not well understood or, as is often the case, a mixture of many alternatives. Our study of the extreme order statistics allows us to express two types of estimates of the proportion of p-values sampled under the null using relaxed assumptions. Both distributions are fitted to data from a study of breast cancer patients comparing many genetic markers.
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Authors who are presenting talks have a * after their name.
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