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Activity Number:
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379
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Type:
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Topic Contributed
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Date/Time:
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Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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Biometrics Section
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| Abstract - #305441 |
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Title:
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A Distribution 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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Yale University and Vanderbilt University School of Medicine
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Address:
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333 Cedar Street PO Box 208034, New Haven, CT, 06520-8034,
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Keywords:
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quantile function ; extreme order statistics ; multiple hypothesis testing ; microarray experiments ; proportion from the null
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Abstract:
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What is the distribution of the p-value under the alternative hypothesis? We describe the properties of a parametric distribution defined on the interval (0,1). This distribution includes the uniform as a special case. The functional form is derived as the distribution of the p-value in a statistical test of a pair of close hypotheses in a wide variety of settings. The distributional form is retained when it is compounded with a uniform or when the individual p-values are sampled from a variety of different hypotheses. We describe properties of the parameter estimate and the distribution of extreme order statistics. The distribution is fitted to the p-values generated in a breast cancer microarray study comparing 3226 gene expressions and is used to estimate the proportion of the p-values from the alternative in the mixture models framework.
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