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Volumn 37, Issue 3, 2009, Pages 1545-1565

On a generalized false discovery rate

Author keywords

Average power; Gene expression; Generalized FDR; Generalized FWER; Multiple hypothesis testing; Oracle k FDR procedure; Stepup procedures

Indexed keywords


EID: 68649095177     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-AOS617     Document Type: Article
Times cited : (18)

References (28)
  • 1
    • 0001677717 scopus 로고
    • Controlling the false discovery rate: A practical and powerful approach to multiple testing
    • MR1325392
    • 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. MR1325392
    • (1995) J. Roy. Statist. Soc. Ser. B , vol.57 , pp. 289-300
    • BENJAMINI, Y.1    HOCHBERG, Y.2
  • 2
    • 33746197428 scopus 로고    scopus 로고
    • Adaptive linear step-up false discovery rate controlling procedures
    • MR2261438
    • BENJAMINI, Y., KRIEGER, A. M. and YEKUTIELI, D. (2006). Adaptive linear step-up false discovery rate controlling procedures. Biometrika 93 491-507. MR2261438
    • (2006) Biometrika , vol.93 , pp. 491-507
    • BENJAMINI, Y.1    KRIEGER, A.M.2    YEKUTIELI, D.3
  • 3
    • 0035733108 scopus 로고    scopus 로고
    • The control of the false discovery rate in multiple testing under dependency
    • MR1869245
    • BENJAMINI, Y. and YEKUTIELI, D. (2001). The control of the false discovery rate in multiple testing under dependency. Ann. Statist. 29 1165-1188. MR1869245
    • (2001) Ann. Statist , vol.29 , pp. 1165-1188
    • BENJAMINI, Y.1    YEKUTIELI, D.2
  • 4
    • 0002587081 scopus 로고
    • A concept of negative dependence using stochastic ordering
    • MR0792794
    • BLOCK, H. W., SAVITS, T. H. and SHAKED, M. (1985). A concept of negative dependence using stochastic ordering. Statist. Probab. Lett. 3 81-86. MR0792794
    • (1985) Statist. Probab. Lett , vol.3 , pp. 81-86
    • BLOCK, H.W.1    SAVITS, T.H.2    SHAKED, M.3
  • 5
    • 14044252027 scopus 로고    scopus 로고
    • DUDOIT, S., VAN DER LAAN, M. and POLLARD, K. (2004). Multiple testing: Part I. Singlestep procedures for control of general type I error rates. Statist. Appl. Genet. Mol. Biol. 3Article 13. MR2101462
    • DUDOIT, S., VAN DER LAAN, M. and POLLARD, K. (2004). Multiple testing: Part I. Singlestep procedures for control of general type I error rates. Statist. Appl. Genet. Mol. Biol. 3Article 13. MR2101462
  • 6
    • 33846498939 scopus 로고    scopus 로고
    • A generalized Sidak-Holm procedure and control of generalized error rates under independence
    • Article 3
    • GUO, W. and ROMANO, J. P. (2007). A generalized Sidak-Holm procedure and control of generalized error rates under independence. Statist. Appl. Genet. Mol. Biol. 6 Article 3. MR2306938
    • (2007) Statist. Appl. Genet. Mol. Biol , vol.6
    • GUO, W.1    ROMANO, J.P.2
  • 7
    • 0035931947 scopus 로고    scopus 로고
    • HEDENFALK, I., DUGGAN, D., CHEN, Y., RADMACHER, M., BITTNER, M., SIMON, R., MELTZER, P., GUSTERSON, B., ESTELLER, M., RAFFELD, M., YAKHINI, Z., BEN-DOR, A., DOUGHERTY, E., KONONEN, J., BUBENDORF, L., FEHRLE, W., PITTALUGA, S., GRUVBERGER, S., LOMAN, N., JOHANNSSON, O., OLSSON, H., WILFOND, B., SAUTER, G., KALLIONIEMI, O., BORG, A. and TRENT, J. (2001). Geneexpression profiles in hereditary breast cancer. New Eng. J. Med. 344 539-548.
    • HEDENFALK, I., DUGGAN, D., CHEN, Y., RADMACHER, M., BITTNER, M., SIMON, R., MELTZER, P., GUSTERSON, B., ESTELLER, M., RAFFELD, M., YAKHINI, Z., BEN-DOR, A., DOUGHERTY, E., KONONEN, J., BUBENDORF, L., FEHRLE, W., PITTALUGA, S., GRUVBERGER, S., LOMAN, N., JOHANNSSON, O., OLSSON, H., WILFOND, B., SAUTER, G., KALLIONIEMI, O., BORG, A. and TRENT, J. (2001). Geneexpression profiles in hereditary breast cancer. New Eng. J. Med. 344 539-548.
  • 8
    • 33645762226 scopus 로고
    • A sharper Bonferroni procedure for multiple tests of significance
    • MR0995126
    • HOCHBERG, Y. (1988). A sharper Bonferroni procedure for multiple tests of significance. Biometrika 75 800-802. MR0995126
    • (1988) Biometrika , vol.75 , pp. 800-802
    • HOCHBERG, Y.1
  • 9
    • 0002294347 scopus 로고
    • A simple sequentially rejective multiple test procedure
    • MR0538597
    • HOLM, S. (1979). A simple sequentially rejective multiple test procedure. Scand. J. Statist. 665-70. MR0538597
    • (1979) Scand. J. Statist , vol.6 , pp. 65-70
    • HOLM, S.1
  • 10
    • 34250721552 scopus 로고    scopus 로고
    • Estimating the null and the proportion of nonnull effects in largescale multiple comparisons
    • MR2325113
    • JIN, J. and CAI, T. (2007). Estimating the null and the proportion of nonnull effects in largescale multiple comparisons. J. Amer. Statist. Assoc. 102 495-506. MR2325113
    • (2007) J. Amer. Statist. Assoc , vol.102 , pp. 495-506
    • JIN, J.1    CAI, T.2
  • 11
    • 0039766073 scopus 로고
    • Classes of orderings of measures and related correlation inequalities I: Multivariate totally positive distributions
    • MR0599685
    • KARLIN, S. and RINOTT, Y. (1980). Classes of orderings of measures and related correlation inequalities I: Multivariate totally positive distributions. J. Multivariate Anal. 10 467-498. MR0599685
    • (1980) J. Multivariate Anal , vol.10 , pp. 467-498
    • KARLIN, S.1    RINOTT, Y.2
  • 12
    • 3042552023 scopus 로고    scopus 로고
    • Controlling the number of false discoveries: Application to high-dimensional genomic data
    • KORN, E., TROENDLE, T., MC SHANE, L. and SIMON, R. (2004). Controlling the number of false discoveries: Application to high-dimensional genomic data. J. Statist. Plann. Inference 124 379-398.
    • (2004) J. Statist. Plann. Inference , vol.124 , pp. 379-398
    • KORN, E.1    TROENDLE, T.2    MC SHANE, L.3    SIMON, R.4
  • 13
    • 23744439164 scopus 로고    scopus 로고
    • Generalizations of the familywise error rate
    • MR2195631
    • LEHMANN, E. L. and ROMANO, J. P. (2005). Generalizations of the familywise error rate. Ann. Statist. 33 1138-1154. MR2195631
    • (2005) Ann. Statist , vol.33 , pp. 1138-1154
    • LEHMANN, E.L.1    ROMANO, J.P.2
  • 14
    • 27944433393 scopus 로고    scopus 로고
    • Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
    • MR2275246
    • MEINSHAUSEN, N. and RICE, J. (2006). Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses. Ann. Statist. 34 373-393. MR2275246
    • (2006) Ann. Statist , vol.34 , pp. 373-393
    • MEINSHAUSEN, N.1    RICE, J.2
  • 15
    • 33749828387 scopus 로고
    • Step-up procedures for control of generalizations of the familywise error rate
    • 2006
    • ROMANO, J. P. and SHAIKH, A. M. (2006). Step-up procedures for control of generalizations of the familywise error rate. Ann. Statist. 34 1850-1873. MR2283720
    • (1850) Ann. Statist , vol.34
    • ROMANO, J.P.1    SHAIKH, A.M.2
  • 16
    • 39749098114 scopus 로고    scopus 로고
    • Control of generalized error rates in multiple testing
    • MR2351090
    • ROMANO, J. P. and WOLF, M. (2007). Control of generalized error rates in multiple testing. Ann. Statist. 35 1378-1408. MR2351090
    • (2007) Ann. Statist , vol.35 , pp. 1378-1408
    • ROMANO, J.P.1    WOLF, M.2
  • 17
    • 0036101887 scopus 로고    scopus 로고
    • Some results on false discovery rate in stepwise multiple testing procedures
    • MR1892663
    • SARKAR, S. K. (2002). Some results on false discovery rate in stepwise multiple testing procedures. Ann. Statist. 30 239-257. MR1892663
    • (2002) Ann. Statist , vol.30 , pp. 239-257
    • SARKAR, S.K.1
  • 18
    • 33744824925 scopus 로고    scopus 로고
    • False discovery and false nondiscovery rates in single-step multiple testing procedures
    • MR2275247
    • SARKAR, S. K. (2006). False discovery and false nondiscovery rates in single-step multiple testing procedures. Ann. Statist. 34 394-415. MR2275247
    • (2006) Ann. Statist , vol.34 , pp. 394-415
    • SARKAR, S.K.1
  • 19
    • 39849104846 scopus 로고    scopus 로고
    • Step-up procedures controlling generalized FWER and generalized FDR
    • MR2382652
    • SARKAR, S. K. (2007). Step-up procedures controlling generalized FWER and generalized FDR. Ann. Statist. 35 2405-2420. MR2382652
    • (2007) Ann. Statist , vol.35 , pp. 2405-2420
    • SARKAR, S.K.1
  • 20
    • 50649097508 scopus 로고    scopus 로고
    • Generalizing Simes' test and Hochberg's stepup procedure
    • MR2387974
    • SARKAR, S. K. (2008). Generalizing Simes' test and Hochberg's stepup procedure. Ann. Statist. 36 337-363. MR2387974
    • (2008) Ann. Statist , vol.36 , pp. 337-363
    • SARKAR, S.K.1
  • 21
    • 37249023746 scopus 로고    scopus 로고
    • Two-stage stepup procedures controlling FDR
    • MR2384506
    • SARKAR, S. K. (2008). Two-stage stepup procedures controlling FDR. J. Statist. Plann. Inference 138 1072-1084. MR2384506
    • (2008) J. Statist. Plann. Inference , vol.138 , pp. 1072-1084
    • SARKAR, S.K.1
  • 23
    • 0036020892 scopus 로고    scopus 로고
    • A direct approach to false discovery rates
    • MR1924302
    • STOREY, J. D. (2002). A direct approach to false discovery rates. J. Roy. Statist. Soc. Ser. B 64479-498. MR1924302
    • (2002) J. Roy. Statist. Soc. Ser. B , vol.64 , pp. 479-498
    • STOREY, J.D.1
  • 24
    • 1142273091 scopus 로고    scopus 로고
    • Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates: A unified approach
    • MR2035766
    • 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. Roy. Statist. Soc. Ser. B 66 187-205. MR2035766
    • (2004) J. Roy. Statist. Soc. Ser. B , vol.66 , pp. 187-205
    • STOREY, J.D.1    TAYLOR, J.E.2    SIEGMUND, D.3
  • 25
    • 0042424602 scopus 로고    scopus 로고
    • Statistical significance for genomewide studies
    • MR1994856
    • STOREY, J. D. and TIBSHIRANI, R. (2003). Statistical significance for genomewide studies. Proc. Natl. Acad. Sci. USA 100 9440-9445. MR1994856
    • (2003) Proc. Natl. Acad. Sci. USA , vol.100 , pp. 9440-9445
    • STOREY, J.D.1    TIBSHIRANI, R.2
  • 26
    • 35348872772 scopus 로고    scopus 로고
    • Oracle and adaptive compound decision rules for false discovery rate control
    • MR2411657
    • SUN, W. and CAI, T. (2007). Oracle and adaptive compound decision rules for false discovery rate control. J. Amer. Statist. Assoc. 102 901-912. MR2411657
    • (2007) J. Amer. Statist. Assoc , vol.102 , pp. 901-912
    • SUN, W.1    CAI, T.2
  • 27
    • 14644413619 scopus 로고    scopus 로고
    • VAN DER LAAN, M., DODOIT, S. and POLLARD, K. (2004). Augmentation procedures for control of the generalized family-wise error rate and tail probabilities for the proportion of false positives. Stat. Appl. Genet. Mol. Biol. 3 Article 15. MR2101464
    • VAN DER LAAN, M., DODOIT, S. and POLLARD, K. (2004). Augmentation procedures for control of the generalized family-wise error rate and tail probabilities for the proportion of false positives. Stat. Appl. Genet. Mol. Biol. 3 Article 15. MR2101464
  • 28
    • 0033472709 scopus 로고    scopus 로고
    • Resampling based false discovery rate controlling multiple testing procedure for correlated test statistics
    • MR1736442
    • YEKUTIELI, D. and BENJAMINI, Y. (1999). Resampling based false discovery rate controlling multiple testing procedure for correlated test statistics. J. Statist. Plann. Inference 82 171-196. MR1736442
    • (1999) J. Statist. Plann. Inference , vol.82 , pp. 171-196
    • YEKUTIELI, D.1    BENJAMINI, Y.2


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