A generalized false discovery rate in microarray studies

Computational Statistics and Data Analysis

Volumn 55, Issue 1, 2011, Pages 731-737

  Kang, Moonsu ^a   Chun, Heuiju ^b  

^a Hanyang University   (South Korea)

^b Pusan University of Foreign Studies   (South Korea)

Author keywords

Familywise error rate; k FDR; Microarray data; Poisson approximation

Indexed keywords

ERROR ANALYSIS; ERRORS;

DEPENDENCE STRUCTURES; DIFFERENTIALLY EXPRESSED GENE; DISTRIBUTIONAL APPROXIMATION; FALSE DISCOVERY RATE; FAMILYWISE ERROR RATE; MICROARRAY DATA; MICROARRAY EXPERIMENTS; POISSON APPROXIMATIONS;

STATISTICAL TESTS;

EID: 77958064585     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.06.017     Document Type: Article

References (21)

1. Barbour, A.D., 1988. Stein's method and Poisson process convergence. Journal of Applied Probability 25A, 175-184.
2. Barbour, A.D., Brown, T.C., 1992. Stein's method and point process convergence. Stochastic Processes and their Applications 43, 9-31.
3. Barbour, A., Holst, L., Janson, S., 1992. Poisson Approximation. Oxford University Press, Oxford.
4. Barbour, A.D., Xia, A., 2006. On stein's factors for Poisson approximation in wasserstein distance. Bernoulli 12 (6), 943-954.
5. Benjamini, Y., Hochberg, Y., 1995. Controlling the false discovery rate: a practical and powerful approach to multiple testing. Journal of the Royal Statistical Society, Series B 57, 289-300.
6. Boutisikas, M.V., Koutras, M.V., 2000. A bound for the distribution of the sum of discrete associated or negatively associated random variables. Annals of Applied Probability 10, 1137-1150.
7. Brown, T.C., Xia, A., 2001. Stein's method and birth-death processes. Annals of Probability 29, 1373-1403.
8. Chen, L.H.Y., 1975. Poisson approximation for dependent trials. Annals of Probability 3, 534-545.
9. Chen, L.H.Y., Shao, Q.-M., 2004. Normal approximation under local dependence. Annals of Probability 32, 1985-2028.
10. Chen, L.H.Y., Xia, A., 2004. Stein method, palm theory and Poisson process approximation. Annals of Probability 32 (3B), 2545-2569.
11. Dudoit, S., Shaffer, J.P., Boldrick, J.C., 2003. Multiple hypothesis testing in microarray experiments. Statistical Science 18, 71-103. (Pubitemid 41461823)
12. Golub, T.R., Slonim, D.K., Tamayo, P., Huard, R.C., Gaasenbeek, M., Mesirov, J.P., Coller, G.H., Loh, M.L., Downing, J.R., Caligiuri, M.A., Lander, E.S., 1999. Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. Science 286, 531-537.
13. Hall, P., Horowitz, J.L., Jing, B.Y., 1995. On blocking rules for the bootstrap with dependent data. Biometrika 82 (3), 561-574.
14. Lehmann, E.L., Romano, J.P., Shaffer, J.P., 2005. On optimality of stepdown and stepup multiple test procedures. Annals of Statistics 33, 1084-1108.
15. Roos, M., 1994. Stein's method for compound Poisson approximation: the local approach. Annals of Applied Probability 4 (4), 1177-1187.
16. Sarkar, S.K., 2004. FDR-controlling stepwise procedures and their false negative rates. Journal of Statistical Planning and Inference 125, 119-137.
17. Sarkar, S.K., 2007. Stepup procedures controlling generalized fwer and generalized FDR. Annals of Statistics 35, 2405-2420.
18. Storey, J., 2002. A direct approach to false discovery rates. Journal of the Royal Statistical Society, Series B 64, 479-498.
19. Storey, J., E.Taylor, J., Siegmund, D., 2004. Strong control, conservative point estimation, and simultaneous conservative consistency of false discovery rates: a unified approach. Journal of the Royal Statistical Society, Series B 66, 187-205.
20. Tusher, V.G., Tibshirani, R., Chu, G., 2001. Significance analysis of microarrays applied to the ionizing radiation response. Proceedings of the National Academy of Sciences 98 (9), 5115-5121.
21. Wu, W.B., 2008. On false discovery control under dependence. Annals of Statistics 36, 364-380.