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Volumn 26, Issue 4, 2011, Pages 584-597

Multiple testing for exploratory research

Author keywords

Closed testing; Confidence set; False discovery pro portion

Indexed keywords


EID: 84864528337     PISSN: 08834237     EISSN: None     Source Type: Journal    
DOI: 10.1214/11-STS356     Document Type: Article
Times cited : (180)

References (35)
  • 1
    • 56049099059 scopus 로고    scopus 로고
    • Screening for partial conjunction Hypotheses
    • MR2522270
    • BENJAMINI, Y. and HELLER, R. (2008). Screening for partial conjunction hypotheses. Biometrics 64 1215-1222. MR2522270
    • (2008) Biometrics , vol.64 , pp. 1215-1222
    • Benjamini, Y.1    Heller, R.2
  • 2
    • 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
  • 3
    • 0034370950 scopus 로고    scopus 로고
    • On the adaptive control of the false discovery rate in multiple testing with independent Statistics
    • BENJAMINI, Y. and HOCHBERG, Y. (2000). On the adaptive control of the false discovery rate in multiple testing with independent statistics. Journal of Educational and Behavioral Statistics 25 60-83.
    • (2000) Journal of Educational and Behavioral Statistics , vol.25 , pp. 60-83
    • Benjamini, Y.1    Hochberg, Y.2
  • 4
    • 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
  • 5
    • 14944365889 scopus 로고    scopus 로고
    • False discovery rate adjusted multiple confidence intervals for selected parameters
    • MR2156820
    • BENJAMINI, Y. and YEKUTIELI, D. (2005). False discovery rate adjusted multiple confidence intervals for selected parameters. J. Amer. Statist. Assoc. 100 71-81. MR2156820
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 71-81
    • Benjamini, Y.1    Yekutieli, D.2
  • 6
    • 66249128600 scopus 로고    scopus 로고
    • Optimal testing of multiple hypotheses with common effect direction
    • MR2507151
    • BITTMAN, R. M., ROMANO, J. P., VALLARINO, C. and WOLF, M. (2009). Optimal testing of multiple hypotheses with common effect direction. Biometrika 96 399-410. MR2507151
    • (2009) Biometrika , vol.96 , pp. 399-410
    • Bittman, R.M.1    Romano, J.P.2    Vallarino, C.3    Wolf, M.4
  • 7
    • 78649408861 scopus 로고    scopus 로고
    • Shortcuts for locally consonant closed test procedures
    • MR2724850
    • BRANNATH, W. and BRETZ, F. (2010). Shortcuts for locally consonant closed test procedures. J. Amer. Statist. Assoc. 105 660-669. MR2724850
    • (2010) J. Amer. Statist. Assoc. , vol.105 , pp. 660-669
    • Brannath, W.1    Bretz, F.2
  • 8
    • 36348960216 scopus 로고    scopus 로고
    • Constructing multiple test procedures for partially ordered hypothesis sets
    • MR2412460
    • EDWARDS, D. and MADSEN, J. (2007). Constructing multiple test procedures for partially ordered hypothesis sets. Stat. Med. 26 5116-5124. MR2412460
    • (2007) Stat. Med. , vol.26 , pp. 5116-5124
    • Edwards, D.1    Madsen, J.2
  • 10
    • 0040970668 scopus 로고    scopus 로고
    • On the false discovery rate and expected type I errors
    • MR1878272
    • FINNER, H. and ROTERS, M. (2001). On the false discovery rate and expected type I errors. Biom. J. 43 985-1005. MR1878272
    • (2001) Biom. J. , vol.43 , pp. 985-1005
    • Finner, H.1    Roters, M.2
  • 11
    • 39149099505 scopus 로고    scopus 로고
    • Multiple testing on the directed acyclic graph of gene ontology
    • GOEMAN, J. J. and MANSMANN, U. (2008). Multiple testing on the directed acyclic graph of gene ontology. Bioinformatics 24 537-544.
    • (2008) Bioinformatics , vol.24 , pp. 537-544
    • Goeman, J.J.1    Mansmann, U.2
  • 12
    • 78650083232 scopus 로고    scopus 로고
    • The sequential rejection principle of familywise error control
    • MR2766868
    • GOEMAN, J. J. and SOLARI, A. (2010). The sequential rejection principle of familywise error control. Ann. Statist. 38 3782-3810. MR2766868
    • (2010) Ann. Statist. , vol.38 , pp. 3782-3810
    • Goeman, J.J.1    Solari, A.2
  • 13
    • 0006468363 scopus 로고    scopus 로고
    • Closed procedures are better and often admit a shortcut
    • MR1673341
    • GRECHANOVSKY, E. and HOCHBERG, Y. (1999). Closed procedures are better and often admit a shortcut. J. Statist. Plann. Inference 76 79-91. MR1673341
    • (1999) J. Statist. Plann. Inference , vol.76 , pp. 79-91
    • Grechanovsky, E.1    Hochberg, Y.2
  • 15
    • 0000072836 scopus 로고
    • Tests of the overall hypothesis for arbitrary dependence structures
    • MR0735888
    • HOMMEL, G. (1983). Tests of the overall hypothesis for arbitrary dependence structures. Biometrical J. 25 423-430. MR0735888
    • (1983) Biometrical J , vol.25 , pp. 423-430
    • Hommel, G.1
  • 16
    • 34548604912 scopus 로고    scopus 로고
    • Powerful short-cuts for multiple testing procedures with special reference to gatekeeping strategies
    • MR2405792
    • HOMMEL, G., BRETZ, F. and MAURER, W. (2007). Powerful short-cuts for multiple testing procedures with special reference to gatekeeping strategies. Stat. Med. 26 4063-4073. MR2405792
    • (2007) Stat. Med. , vol.26 , pp. 4063-4073
    • Hommel, G.1    Bretz, F.2    Maurer, W.3
  • 17
    • 37549028048 scopus 로고    scopus 로고
    • Hochberg's step-up method: Cutting corners off Holm's step-down method
    • MR2416802
    • HUANG, Y. and HSU, J. C. (2007). Hochberg's step-up method: Cutting corners off Holm's step-down method. Biometrika 94 965-975. MR2416802
    • (2007) Biometrika , vol.94 , pp. 965-975
    • Huang, Y.1    Hsu, J.C.2
  • 18
    • 34250721552 scopus 로고    scopus 로고
    • Estimating the null and the proportional of nonnull effects in large-scale multiple comparisons
    • MR2325113
    • JIN, J. and CAI, T. T. (2007). Estimating the null and the proportional of nonnull effects in large-scale 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.T.2
  • 19
    • 25144456446 scopus 로고    scopus 로고
    • Estimating the proportion of true null hypotheses, with application to DNA microarray data
    • MR2168204
    • LANGAAS, M., LINDQVIST, B. H. and FERKINGSTAD, E. (2005). Estimating the proportion of true null hypotheses, with application to DNA microarray data. J. R. Stat. Soc. Ser. B Stat. Methodol. 67 555-572. MR2168204
    • (2005) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.67 , pp. 555-572
    • Langaas, M.1    Lindqvist, B.H.2    Ferkingstad, E.3
  • 20
    • 67650698205 scopus 로고    scopus 로고
    • Mass and its relationship to physical measurements
    • MS305 Data Project, Dept. Mathematics, Univ. Queensland, Australia
    • LARNER, M. (1996). Mass and its relationship to physical measurements. MS305 Data Project, Dept. Mathematics, Univ. Queensland, Australia.
    • (1996)
    • Larner, M.1
  • 21
    • 0017146303 scopus 로고
    • On closed testing procedures with special reference to ordered analysis of variance
    • MR0468056
    • MARCUS, R., PERITZ, E. and GABRIEL, K. R. (1976). On closed testing procedures with special reference to ordered analysis of variance. Biometrika 63 655-660. MR0468056
    • (1976) Biometrika , vol.63 , pp. 655-660
    • Marcus, R.1    Peritz, E.2    Gabriel, K.R.3
  • 22
    • 65849293723 scopus 로고    scopus 로고
    • Impaired performance of FDR-based strategies in whole-genome association studies when SNPs are excluded prior to the analysis
    • MARENNE, G., DALMASSO, C., PERDRY, H., GÉNIN, E. and BROËT, P. (2009). Impaired performance of FDR-based strategies in whole-genome association studies when SNPs are excluded prior to the analysis. Genetic Epidemiology 33 45-53.
    • (2009) Genetic Epidemiology , vol.33 , pp. 45-53
    • Marenne, G.1    Dalmasso, C.2    Perdry, H.3    Génin, E.4    Broët, P.5
  • 23
    • 33745303832 scopus 로고    scopus 로고
    • False discovery control for multiple tests of association under general dependence
    • MR2279639
    • MEINSHAUSEN, N. (2006). False discovery control for multiple tests of association under general dependence. Scand. J. Statist. 33 227-237. MR2279639
    • (2006) Scand. J. Statist. , vol.33 , pp. 227-237
    • Meinshausen, N.1
  • 24
    • 44849141742 scopus 로고    scopus 로고
    • Hierarchical testing of variable importance
    • MR2521583
    • MEINSHAUSEN, N. (2008). Hierarchical testing of variable importance. Biometrika 95 265-278. MR2521583
    • (2008) Biometrika , vol.95 , pp. 265-278
    • Meinshausen, N.1
  • 25
    • 27944469191 scopus 로고    scopus 로고
    • Lower bounds for the number of false null hypotheses for multiple testing of associations under general dependence structures
    • MR2234193
    • MEINSHAUSEN, N. andBÜHLMANN, P. (2005). Lower bounds for the number of false null hypotheses for multiple testing of associations under general dependence structures. Biometrika 92 893-907. MR2234193
    • (2005) Biometrika , vol.92 , pp. 893-907
    • Meinshausen, N.1    Bühlmann, P.2
  • 26
    • 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
  • 27
    • 0032352436 scopus 로고    scopus 로고
    • Some probability inequalities for ordered MTP2 random variables: A proof of the Simes conjecture
    • MR1626047
    • SARKAR, S. K. (1998). Some probability inequalities for ordered MTP2 random variables: A proof of the Simes conjecture. Ann. Statist. 26 494-504. MR1626047
    • (1998) Ann. Statist. , vol.26 , pp. 494-504
    • Sarkar, S.K.1
  • 28
    • 0000992959 scopus 로고
    • Plots of p-values to evaluate many tests simultaneously
    • SCHWEDER, T. and SPJØTVOLL, E. (1982). Plots of p-values to evaluate many tests simultaneously. Biometrika 69 493-502.
    • (1982) Biometrika , vol.69 , pp. 493-502
    • Schweder, T.1    Spjøtvoll, E.2
  • 29
    • 84947402121 scopus 로고
    • Rectangular confidence regions for the means of multivariate normal distributions
    • MR0216666
    • ŠIDÁK, Z. (1967). Rectangular confidence regions for the means of multivariate normal distributions. J. Amer. Statist. Assoc. 62 626-633. MR0216666
    • (1967) J. Amer. Statist. Assoc. , vol.62 , pp. 626-633
    • Šidák, Z.1
  • 30
    • 67649345185 scopus 로고
    • An improved Bonferroni procedure for multiple tests of significance
    • MR0897872
    • SIMES, R. J. (1986). An improved Bonferroni procedure for multiple tests of significance. Biometrika 73 751-754. MR0897872
    • (1986) Biometrika , vol.73 , pp. 751-754
    • Simes, R.J.1
  • 31
    • 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. R. Stat. Soc. Ser. B Stat. Methodol. 64 479-498. MR1924302
    • (2002) J. R. Stat. Soc. Ser. B Stat. Methodol. , vol.64 , pp. 479-498
    • Storey, J.D.1
  • 32
    • 0001793787 scopus 로고
    • We need both exploratory and confirmatory
    • TUKEY, J. (1980). We need both exploratory and confirmatory. Amer. Statist. 34 23-25.
    • (1980) Amer. Statist. , vol.34 , pp. 23-25
    • Tukey, J.1
  • 33
    • 70149099645 scopus 로고    scopus 로고
    • Testing the prediction error difference between 2 predictors
    • VAN DE WIEL, M., BERKHOF, J. and VAN WIERINGEN, W. (2009). Testing the prediction error difference between 2 predictors. Biostatistics 10 550-560.
    • (2009) Biostatistics , vol.10 , pp. 550-560
    • Van De Wiel, M.1    Berkhof, J.2    Van Wieringen, W.3
  • 34
    • 14644413619 scopus 로고    scopus 로고
    • Augmentation procedures for control of the generalized familywise error rate and tail probabilities for the proportion of false positives
    • 3 Art. (electronic). MR2101464
    • VAN DER LAAN, M. J., DUDOIT, S. and POLLARD, K. S. (2004). Augmentation procedures for control of the generalized familywise error rate and tail probabilities for the proportion of false positives. Stat. Appl. Genet. Mol. Biol. 3 Art. 15, 27 pp. (electronic). MR2101464
    • (2004) Stat. Appl. Genet. Mol. Biol. , vol.15 , pp. 27
    • Van Der Laan, M.J.1    Dudoit, S.2    Pollard, K.S.3


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