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Article: Large-scale simultaneous hypothesis testing: the choice of a null hypothesis.
- Article from:
- Journal of the American Statistical Association
- Article date:
- March 1, 2004
- Author:
CopyrightCOPYRIGHT 2004 American Statistical Association. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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1. INTRODUCTION
Until recently, "simultaneous inference" meant considering two or five or perhaps even 10 hypothesis tests at the same time, as in Miller's classic text (Miller 1981). Rapid progress in technology, particularly in genomics and imaging, has vastly upped the ante for simultaneous inference problems. Now 500 or 5,000 or even 50,000 tests may need to be evaluated simultaneously, raising new problems for the statistician, but also opening new analytic opportunities. This article explores choosing an appropriate null hypothesis in large-scale testing situations, and how this choice affects well-known inference methods, such as the false discovery rate ...