Optimal weighting for false discovery rate control

Electronic Journal of Statistics

Volumn 3, Issue , 2009, Pages 678-711

  Roquain, Etienne ^a   Van de Wiel, Mark A ^b  

^a SORBONNE UNIVERSITÉ   (France)

^b VU UNIVERSITY MEDICAL CENTER   (Netherlands)

Author keywords

False discovery rate; Multiple testing; P value weighting; Power maximization

Indexed keywords

EID: 75249091594     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/09-EJS430     Document Type: Article

References (27)

1. 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(1):289-300.
2. Benjamini, Y., Krieger, A.M., and Yekutieli, D. (2006). Adaptive linear step-up procedures that control the false discovery rate. Biometrika, 93(3):491-507.
3. Benjamini, Y. and Yekutieli, D. (2001). The control of the false discovery rate in multiple testing under dependency. Ann. Statist., 29(4):1165-1188.
4. Blanchard, G. and Roquain, E. (2008). Two simple sufficient conditions for FDR control. Electron. J. Stat., 2:963-992.
5. Blanchard, G. and Roquain, E. (2009). Adaptive false discovery rate control under independence and dependence. J. Mach. Learn. Res. To appear.
6. Efron, B., Tibshirani, R., Storey, J.D., and Tusher, V. (2001). Empirical Bayes analysis of a microarray experiment. J. Amer. Statist. Assoc., 96(456):1151-1160.
7. Finner, H., Dickhaus, R., and Roters, M. (2009). On the false discovery rate and an asymptotically optimal rejection curve. Ann. Statist., 37(2):596-618.
8. Gavrilov, Y., Benjamini, Y., and Sarkar, S.K. (2009). An adaptive stepdown procedure with proven fdr control under independence. Ann. Statist., 37(2):619-629.
9. Genovese, C. and Wasserman, L. (2004). A stochastic process approach to false discovery control. Ann. Statist., 32(3):1035-1061.
10. Genovese, C.R., Roeder, K., and Wasserman, L. (2006). False discovery control with p-value weighting. Biometrika, 93(3):509-524.
11. Hoeffding, W. (1963). Probability inequalities for sums of bounded random variables. J. Amer. Statist. Assoc., 58:13-30.
12. Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scand. J. Statist., 6(2):65-70.
13. Hyman, E., Kauraniemi, P., Hautaniemi, S., Wolf, M., Mousses, S., Rozenblum, E., Ringnr, M., Sauter, G., Monni, O., Elkahloun, A., Kallioniemi, A., and Kallioniemi, O. (2002). Impact of dna amplification on gene expression patterns in breast cancer. Cancer research, 62(21):6240-5.
14. Kim, K.I. and van de Wiel, M. (2008). Effects of dependence in highdimensional multiple testing problems. BMC Bioinformatics, 9(1):114.
15. Lehmann, E.L., Romano, J.P., and Shaffer, J.P. (2005). On optimality of stepdown and stepup multiple test procedures. Ann. Statist., 33(3):1084-1108.
16. Muris, J., Ylstra, B., Cillessen, S., Ossenkoppele, G., Kluin-Nelemans, J., Eijk, P., Nota, B., Tijssen, M., de Boer, W., van de Wiel, M., van den Ijssel, P., Jansen, P., de Bruin, P., van Krieken, J., Meijer, G., Meijer, C., and Oudejans, J. (2007). Profiling of apoptosis genes allows for clinical stratification of primary nodal diffuse large B-cell lymphomas. Br. J. Haematol., 136:38-47.
17. Picard, F., Robin, S., Lebarbier, E., and Daudin, J. (2007). A segmentation/clustering model for the analysis of array CGH data. Biometrics, 63:758-766.
18. Romano, J.P., Shaikh, A.M., and Wolf, M. (2008). Control of the false discovery rate under dependence using the bootstrap and subsampling. TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 17(3):417-442.
19. Roquain, E. (2007). Exceptional motifs in heterogeneous sequences. Contributions to theory and methodology of multiple testing. PhD thesis, Université Paris XI.
20. Roquain, E. and van de Wiel, M. (2008). Multi-weighting for FDR control. ArXiV preprint math.ST/0807.4081v1.
21. Rubin, D., Dudoit, S., and van der Laan, M. (2006). A method to increase the power of multiple testing procedures through sample splitting. Stat. Appl. Genet. Mol. Biol., 5:Art. 19, 20 pp. (electronic).
22. Sarkar, S.K. (2002). Some results on false discovery rate in stepwise multiple testing procedures. Ann. Statist., 30(1):239-257.
23. Storey, J.D. (2002). A direct approach to false discovery rates. J. R. Stat. Soc. Ser. B Stat. Methodol., 64(3):479-498.
24. Storey, J.D. (2003). The positive false discovery rate: a Bayesian interpretation and the q-value. Ann. Statist., 31(6):2013-2035.
25. Storey, J.D. (2007). The optimal discovery procedure: a new approach to simultaneous significance testing. J. R. Stat. Soc. Ser. B Stat. Methodol., 69(3):347-368.
26. van der Vaart, A.W. (1998). Asymptotic statistics, volume 3 of Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge.
27. Wasserman, L. and Roeder, K. (2006). Weighted hypothesis testing. Technical report, Dept. of statistics, Carnegie Mellon University.