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Volumn 55, Issue 3, 2013, Pages 402-419

General theory of mixture procedures for gatekeeping

Author keywords

Bonferroni procedure; Closed procedures; Dunnett procedure; Familywise error rate; Logical restrictions; Multiple comparisons

Indexed keywords

BONFERRONI PROCEDURE; CLOSED PROCEDURE; DUNNETT PROCEDURE; FAMILYWISE ERROR RATE; GATEKEEPING; GENERAL THEORY; LOGICAL RESTRICTION; MULTIPLE COMPARISON; THEORY OF MIXTURES; TREE-STRUCTURED;

EID: 84876988215     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.201100258     Document Type: Article
Times cited : (19)

References (34)
  • 1
    • 0032582081 scopus 로고    scopus 로고
    • Testing strategies in multi-dose experiments including active control
    • Bauer, P., Roehmel, J., Maurer, M. and Hothorn, L. (1998). Testing strategies in multi-dose experiments including active control. Statistics in Medicine 17, 2133-2146.
    • (1998) Statistics in Medicine , vol.17 , pp. 2133-2146
    • Bauer, P.1    Roehmel, J.2    Maurer, M.3    Hothorn, L.4
  • 4
    • 80755127017 scopus 로고    scopus 로고
    • Development of gatekeeping strategies in confirmatory clinical trials
    • Dmitrienko, A., Millen, B. A., Brechenmacher, T. and Paux, G. (2011b). Development of gatekeeping strategies in confirmatory clinical trials. Biometrical Journal 53, 875-893.
    • (2011) Biometrical Journal , vol.53 , pp. 875-893
    • Dmitrienko, A.1    Millen, B.A.2    Brechenmacher, T.3    Paux, G.4
  • 5
    • 0043136549 scopus 로고    scopus 로고
    • Gatekeeping strategies for clinical trials that do not require all primary effects to be significant
    • Dmitrienko, A., Offen, W. W. and Westfall, P. H. (2003). Gatekeeping strategies for clinical trials that do not require all primary effects to be significant. Statistics in Medicine 22, 2387-2400.
    • (2003) Statistics in Medicine , vol.22 , pp. 2387-2400
    • Dmitrienko, A.1    Offen, W.W.2    Westfall, P.H.3
  • 6
    • 79956103462 scopus 로고    scopus 로고
    • Mixtures of multiple testing procedures for gatekeeping applications in clinical trial applications
    • Dmitrienko, A. and Tamhane, A. C. (2011). Mixtures of multiple testing procedures for gatekeeping applications in clinical trial applications. Statistics in Medicine 30, 1473-1488.
    • (2011) Statistics in Medicine , vol.30 , pp. 1473-1488
    • Dmitrienko, A.1    Tamhane, A.C.2
  • 7
    • 48249151795 scopus 로고    scopus 로고
    • A note on tree-structured gatekeeping procedures in clinical trials
    • Dmitrienko, A., Tamhane, A. C., Liu, L. and Wiens, B. (2008a). A note on tree-structured gatekeeping procedures in clinical trials. Statistics in Medicine 27, 3446-3451.
    • (2008) Statistics in Medicine , vol.27 , pp. 3446-3451
    • Dmitrienko, A.1    Tamhane, A.C.2    Liu, L.3    Wiens, B.4
  • 9
    • 34248999506 scopus 로고    scopus 로고
    • Tree-structured-structured gatekeeping tests in clinical trials with hierarchically ordered multiple objectives
    • Dmitrienko, A., Wiens, B. L. Tamhane, A. C. and Wang, X. (2007). Tree-structured-structured gatekeeping tests in clinical trials with hierarchically ordered multiple objectives. Statistics in Medicine 26, 2465-2478.
    • (2007) Statistics in Medicine , vol.26 , pp. 2465-2478
    • Dmitrienko, A.1    Wiens, B.L.2    Tamhane, A.C.3    Wang, X.4
  • 10
    • 0009663357 scopus 로고
    • A multiple comparison procedure for comparing several treatments with a control
    • Dunnett, C. W. (1955). A multiple comparison procedure for comparing several treatments with a control. Journal of the American Statistical Association 50, 1096-1121.
    • (1955) Journal of the American Statistical Association , vol.50 , pp. 1096-1121
    • Dunnett, C.W.1
  • 13
    • 0000279774 scopus 로고
    • Simultaneous test procedures-some theory of multiple comparisons
    • Gabriel, K. R. (1969). Simultaneous test procedures-some theory of multiple comparisons. Annals of Mathematical Statistics 40, 224-250.
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 224-250
    • Gabriel, K.R.1
  • 14
    • 54549107976 scopus 로고    scopus 로고
    • Simultaneous confidence regions corresponding to Holm's step-down procedure and other closed testing procedures
    • Guilbaud, O. (2008). Simultaneous confidence regions corresponding to Holm's step-down procedure and other closed testing procedures. Biometrical Journal 50, 678-692.
    • (2008) Biometrical Journal , vol.50 , pp. 678-692
    • Guilbaud, O.1
  • 15
    • 70350704498 scopus 로고    scopus 로고
    • Alternative confidence regions for Bonferroni-based closed testing procedures that are not alpha-exhaustive
    • Guilbaud, O. (2009). Alternative confidence regions for Bonferroni-based closed testing procedures that are not alpha-exhaustive. Biometrical Journal 51, 721-735.
    • (2009) Biometrical Journal , vol.51 , pp. 721-735
    • Guilbaud, O.1
  • 16
    • 84862235618 scopus 로고    scopus 로고
    • Simultaneous confidence regions for closed tests, including Holm, Hochberg and Hommel related procedures
    • Guilbaud, O. (2012). Simultaneous confidence regions for closed tests, including Holm, Hochberg and Hommel related procedures. Biometrical Journal 54, 317-342.
    • (2012) Biometrical Journal , vol.54 , pp. 317-342
    • Guilbaud, O.1
  • 17
    • 79957528746 scopus 로고    scopus 로고
    • Confidence regions for Bonferroni-based closed tests extended to more general tests
    • Guilbaud, O. and Karlsson, P. (2011). Confidence regions for Bonferroni-based closed tests extended to more general tests. Journal of Biopharmaceutical Statistics 21, 682-707.
    • (2011) Journal of Biopharmaceutical Statistics , vol.21 , pp. 682-707
    • Guilbaud, O.1    Karlsson, P.2
  • 18
    • 33645762226 scopus 로고
    • A sharper Bonferroni procedure for multiple significance testing
    • Hochberg, Y. (1988). A sharper Bonferroni procedure for multiple significance testing. Biometrika 75, 800-802.
    • (1988) Biometrika , vol.75 , pp. 800-802
    • Hochberg, Y.1
  • 20
    • 0002294347 scopus 로고
    • A simple sequentially rejective multiple test procedure
    • Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandanavian Journal of Statistics 6, 65-70.
    • (1979) Scandanavian Journal of Statistics , vol.6 , pp. 65-70
    • Holm, S.1
  • 21
    • 0001669952 scopus 로고
    • A stagewise rejective multiple test procedure based on a modified Bonferroni test
    • Hommel, G. (1988). A stagewise rejective multiple test procedure based on a modified Bonferroni test. Biometrika 75, 383-386.
    • (1988) Biometrika , vol.75 , pp. 383-386
    • Hommel, G.1
  • 22
    • 23744439164 scopus 로고    scopus 로고
    • Generalizations of the familywise error rate
    • Lehmann, E. L. and Romano, J. P. (2005). Generalizations of the familywise error rate. Annals of Statistics 33, 1138-1154.
    • (2005) Annals of Statistics , vol.33 , pp. 1138-1154
    • Lehmann, E.L.1    Romano, J.P.2
  • 23
    • 0017146303 scopus 로고
    • On closed testing procedures with special reference to ordered analysis of variance
    • 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.
    • (1976) Biometrika , vol.63 , pp. 655-660
    • Marcus, R.1    Peritz, E.2    Gabriel, K.R.3
  • 24
    • 0002676309 scopus 로고
    • Multiple comparisons in drug clinical trials and preclinical assays: a priori ordered hypotheses
    • Vollman J. (Ed.). Fischer-Verlag, Stuttgart
    • Maurer, W., Hothorn, L. and Lehmacher, E. (1995). Multiple comparisons in drug clinical trials and preclinical assays: a priori ordered hypotheses. In: Vollman J. (Ed.) Biometrie in der Chemisch-in-Pharmazeutischen Industrie. 6, Fischer-Verlag, Stuttgart pp. 3-18.
    • (1995) Biometrie in der Chemisch-in-Pharmazeutischen Industrie , vol.6 , pp. 3-18
    • Maurer, W.1    Hothorn, L.2    Lehmacher, E.3
  • 26
    • 79957529687 scopus 로고    scopus 로고
    • Chain procedures: a class of flexible closed testing procedures with clinical trial applications
    • Millen, B. A. and Dmitrienko, A. (2011). Chain procedures: a class of flexible closed testing procedures with clinical trial applications. Statistics in Biopharmaceutical Research 3, 14-30.
    • (2011) Statistics in Biopharmaceutical Research , vol.3 , pp. 14-30
    • Millen, B.A.1    Dmitrienko, A.2
  • 27
    • 84963223395 scopus 로고
    • Some selection rules for comparing p processes to a standard
    • Naik, U. D. (1975). Some selection rules for comparing p processes to a standard. Communications in Statistics. Series A 4, 519-535.
    • (1975) Communications in Statistics. Series A , vol.4 , pp. 519-535
    • Naik, U.D.1
  • 28
    • 0033426516 scopus 로고    scopus 로고
    • Multiple comparison procedures for discrete test statistics
    • Roth, A. J. (1999). Multiple comparison procedures for discrete test statistics. Journal of Statistical Planning and Inference 82, 101-117.
    • (1999) Journal of Statistical Planning and Inference , vol.82 , pp. 101-117
    • Roth, A.J.1
  • 30
    • 54549122408 scopus 로고    scopus 로고
    • Compatible simultaneous lower confidence bounds for the Holm and other Bonferroni-based closed tests
    • Strassburger, K. and Bretz, F. (2008). Compatible simultaneous lower confidence bounds for the Holm and other Bonferroni-based closed tests. Statistics in Medicine 27, 4914-4927.
    • (2008) Statistics in Medicine , vol.27 , pp. 4914-4927
    • Strassburger, K.1    Bretz, F.2
  • 31
    • 0042202937 scopus 로고    scopus 로고
    • Optimally weighted, fixed-sequence, and gatekeeping multiple testing procedures
    • Westfall, P. H. and Krishen, A. (2001). Optimally weighted, fixed-sequence, and gatekeeping multiple testing procedures. Journal of Statistical Planning and Inference 99, 25-40.
    • (2001) Journal of Statistical Planning and Inference , vol.99 , pp. 25-40
    • Westfall, P.H.1    Krishen, A.2
  • 33
    • 15944368765 scopus 로고    scopus 로고
    • A fixed-sequence Bonferroni procedure for testing multiple endpoints
    • Wiens, B. (2003). A fixed-sequence Bonferroni procedure for testing multiple endpoints. Pharmaceutical Statistics 2, 211-215.
    • (2003) Pharmaceutical Statistics , vol.2 , pp. 211-215
    • Wiens, B.1
  • 34
    • 27544506961 scopus 로고    scopus 로고
    • The fallback procedure for evaluating a single family of hypotheses
    • Wiens, B. L. and Dmitrienko, A. (2005). The fallback procedure for evaluating a single family of hypotheses. Journal of Biopharmaceutical Statistics 15, 929-942.
    • (2005) Journal of Biopharmaceutical Statistics , vol.15 , pp. 929-942
    • Wiens, B.L.1    Dmitrienko, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.