Name: Sarkar

Firstname: Sanat

Title: Dr.

Institution: Temple University

Street: 1810 North 13th Street

City: Philadelphia

Zip-Code: PA 19122

Country: U.S.A.

Phone: 215-204-6878

Fax: 215-204-1501

Email: sanat@sbm.temple.edu

Authors: Sanat K. Sarkar

Title: Recent Results on False Discovery Rate

Abstract: The concept of False Discovery Rate (FDR), which is the expected proportion of false positives (Type I errors) among rejected hypotheses, has been receiving increasing attention by researchers in multiple hypotheses testing. This talk will present some theoretical results on the FDR that have been recently developed in the context of stepwise multiple testing procedures. A comparison of various FDR-controlling procedures that exist in a given multiple testing situation will also be presented in terms of the expected proportion of false negatives (Type II errors) among accepted hypotheses.

References: 1. Benjamini, Y. and Hochberg, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple comparison problems, J. R. Statist. Soc. B., 57, 289-300.

2. Benjamini, Y. and Liu, W. (1999). A step-down multiple hypotheses testing procedures that controls the false discovery rate under independence, J. Statist. Plann. Inf., 82, 163-170.

3. Benjamini, Y. and Yekutieli, D. (2001). The control of the false discovery rate in multiple testing under dependency, Ann. Statist., 29, 1165–1188.

4. Sarkar, S. K. (1998). Probability inequalities for ordered MTP2 random variables: A proof of the Simes conjecture, Ann. Statist., 26, 494-504.

5. Sarkar, S. K. (2002). Some results on false discovery rate in stepwise multiple testing procedures, Ann. Statist., 30, 239-257.

6. Tamhane, A. C., Liu, W., and Dunnett, C. W. (1998). A generalized step-up-down multiple test procedure, Can. J. Statist., 26, 353-363.