Selective Inference on Multiple Families of Hypotheses
Abstract
In many complex multiple-testing problems the hypotheses are divided into families. Given the data, families with evidence for true discoveries are selected, and hypotheses within them are tested. Neither controlling the error rate in each family separately nor controlling the error rate over all hypotheses together can assure some level of confidence about the filtration of errors within the selected families. We formulate this concern about selective inference in its generality, for a very wide class of error rates and for any selection criterion, and present an adjustment of the testing level inside the selected families that retains control of the expected average error over the selected families.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 18, 2013
- Source ID
- 10.1111/rssb.12028
Entities
People
- Marina Bogomolov
- Yoav Benjamini
Organizations
- European Research Council
- Technion – Israel Institute of Technology
- Tel Aviv University
- United States Department of Defense