Activity Number:
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185
- Contributed Poster Presentations: IMS
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Type:
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Contributed
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Date/Time:
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Monday, July 29, 2019 : 10:30 AM to 12:20 PM
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Sponsor:
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IMS
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Abstract #302871
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Title:
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Multiple Hypothesis Testing with Discrete Data: Minimally Discrete P-Values
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Author(s):
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Joshua Habiger*
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Companies:
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Oklahoma State University
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Keywords:
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Discrete Data;
False Discovery Rate;
Multiple Testing;
p-value
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Abstract:
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When testing a null hypothesis with discrete data the natural p-value is conservative, the mid-p-value can be liberal and the randomized p-value is more variable. This work show that this unavoidable ``discreteness effect'' is exacerbated when testing multiple null hypotheses with discrete data. A new ``minimally discrete'' (MD) testing procedure and p-value are developed and shown to dominate traditional approaches for handling the discreteness in that the MD natural p-value is less conservative while the MD randomized p-value is less variable. It is demonstrated that the MD p-values scale up well to high dimensional multiple testing.
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Authors who are presenting talks have a * after their name.