The Positive False Discovery Quantile

Abstract

Several alternative concepts to the family-wise error rate have been recently defined and studied, when multiple hypothesis testing is considered. In this article, the positive false discovery quantile is introduced and then:

(a) some theoretical results are obtained in order to make easy the study of the\hangindent1.2 pc Bayesian robustness of this concept;

(b) an approximated method is suggested in order to make easy computations; and

(c) an application to disease control is carried out.

Keywords:

• Bayesian robustness
• Disease control
• Multiple hypothesis testing
• Positive false discovery rate
• Quantiles

Mathematics Subject Classification:

• Primary 62F15
• Secondary 62F03

Acknowledgment

This research has been partially supported by Grant MTM2010-17366 (Spain).