A stochastic process approach to false discovery control

Annals of Statistics

Volumn 32, Issue 3, 2004, Pages 1035-1061

  Genovese, Christopher ^a   Wasserman, Larry ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

False discovery rate; Multiple testing; P values

Indexed keywords

EID: 10844286757     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053604000000283     Document Type: Article

References (19)

1. ABRAMOVICH, F., BENJAMINI, Y., DONOHO, D. and JOHNSTONE, I. (2000). Adapting to unknown sparsity by controlling the false discovery rate. Technical Report 2000-19, Dept. Statistics, Stanford Univ.
2. BENJAMINI, Y. and HOCHBERG, Y. (1995). Controlling the false discovery rate: A practical and powerful approach to multiple testing. J. Roy. Statist. Soc. Ser. B 57 289-300.
3. BENJAMINI, Y. and HOCHBERG, Y. (2000). On the adaptive control of the false discovery rate in multiple testing with independent statistics. J. Educational and Behavioral Statistics 25 60-83.
4. BENJAMINI, Y. and YEKUTIELI, D. (2001). The control of the false discovery rate in multiple testing under dependency. Ann. Statist. 29 1165-1188.
5. EFRON, B., TIBSHIRANI, R., STOREY, J. and TUSHER, V. (2001). Empirical Bayes analysis of a microarray experiment. J. Amer. Statist. Assoc. 96 1151-1160.
6. FINNER, H. and ROTERS, M. (2002). Multiple hypotheses testing and expected number of type I errors. Ann. Statist. 30 220-238.
7. GENOVESE, C. R. and WASSERMAN, L. (2002). Operating characteristics and extensions of the FDR procedure. J. R. Stat. Soc. Ser. B Stat. Methodol. 64 499-518.
8. HAVRÁNEK, T. and CHYTIL, M. (1983). Mechanizing hypotheses formation-a way for computerized exploratory data analysis? Bull. Internat. Statist. Inst. 50 104-121.
9. HALPERIN, M., LAN, K. K. G. and HAMDY, M. I. (1988). Some implications of an alternative definition of the multiple comparison problem. Biometrika 75 773-778.
10. HENGARTNER, N. W. and STARK, P. B. (1995). Finite-sample confidence envelopes for shape-restricted densities. Ann. Statist. 23 525-550.
11. HOCHBERG, Y. and BENJAMINI, Y. (1990). More powerful procedures for multiple significance testing. Statistics in Medicine 9811-818.
12. HOMMEL, G. and HUFFMAN, T. (1987). Controlled uncertainty. In Multiple Hypothesis Testing (P. Bauer, G. Hommel and E. Sonnemann, eds.) 154-161. Springer, Heidelberg.
13. SARKAR, S.K. (2002). Some results on false discovery rate in stepwise multiple testing procedures. Ann. Statist. 30 239-257.
14. SCHWEDER, T. and SPJØTVOLL, E. (1982). Plots of p-values to evaluate many tests simultaneously. Biometrika 69 493-502.
15. STOREY, J. (2002). A direct approach to false discovery rates. J. R. Stat. Soc. Ser. B Stat. Methodol. 64 479-498.
16. STOREY, J. (2003). The positive false discovery rate: A Bayesian interpretation and the q-value. Ann. Statist. 31 2013-2035.
17. STOREY, J. D., TAYLOR, J. E. and SIEGMUND, D. (2004). Strong control, conservative point estimation, and simultaneous conservative consistency of false discovery rates: A unified approach. J. R. Stat. Soc. Ser. B Stat. Methodol. 66 187-205.
18. SWANEPOEL, J. W. H. (1999). The limiting behavior of a modified maximal symmetric 2s-spacing with applications. Ann. Statist. 27 24-35.
19. VAN DER VAART, A. (1998). Asymptotic Statistics. Cambridge Univ. Press.