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Activity Number: 51 - Large-Scale Global and Simultaneous Inference
Type: Invited
Date/Time: Sunday, July 30, 2017 : 4:00 PM to 5:50 PM
Sponsor: IMS
Abstract #322063
Title: Inference Following Aggregate Level Hypothesis Testing in Large Scale Genomic Data
Author(s): Ruth Heller* and Nilanjan Chatterjee and Abba Krieger and Jianxin Shi
Companies: Tel-Aviv University and Johns Hopkins University and University of Pennsylvania and National Cancer Institute
Keywords: multiple testing ; selective inference ; conditional p-value ; meta-analysis
Abstract:

In many genomic applications, it is common to perform tests using aggregate-level statistics within naturally defined classes for powerful identification of signals. Following aggregate-level testing, it is naturally of interest to infer on the individual units that are within classes that contain signal. Failing to account for class selection will produce biased inference. We develop multiple testing procedures that allow rejection of individual level null hypotheses while controlling for conditional (familywise or false discovery) error rates. We use simulation studies to illustrate validity and power of the proposed procedures in comparison to several possible alternatives. We illustrate the usefulness of our procedures in several genomic applications.


Authors who are presenting talks have a * after their name.

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