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Volumn 6, Issue 1, 2007, Pages

A generalized Sidak-Holm procedure and control of generalized error rates under independence

Author keywords

False discovery proportion; Generalized familywise error rate; Multiple testing; P value; Sidak procedure; Stepdown procedure

Indexed keywords

ANALYTICAL ERROR; ARTICLE; INDEPENDENT COMPONENT ANALYSIS; MATHEMATICAL ANALYSIS; NULL HYPOTHESIS; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 33846498939     PISSN: None     EISSN: 15446115     Source Type: Journal    
DOI: 10.2202/1544-6115.1247     Document Type: Article
Times cited : (63)

References (26)
  • 1
    • 0001677717 scopus 로고
    • Controlling the false discovery rate: A practical and powerful approach to multiple testing
    • Benjamini, Y. and 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.
    • (1995) Journal of the Royal Statistical Society, Series B , vol.57 , pp. 289-300
    • Benjamini, Y.1    Hochberg, Y.2
  • 2
    • 0035733108 scopus 로고    scopus 로고
    • The control of the false discovery rate in multiple testing under dependency
    • Benjamini, Y. and Yekutieli, D. (2001). The control of the false discovery rate in multiple testing under dependency. Annals of Statistics, 29, 1165-1188.
    • (2001) Annals of Statistics , vol.29 , pp. 1165-1188
    • Benjamini, Y.1    Yekutieli, D.2
  • 4
    • 14044252027 scopus 로고    scopus 로고
    • Dudoit, S., van der Laan, M. and Pollard, K. (2004). Multiple testing. Part I. Single-step procedures for control of general type I error rates. Statistical Applications in Genetics and Molecular Biology, 3(1): Article 13. Available at http://www.bepress.com/sagmb/vol3/iss1/art13.
    • Dudoit, S., van der Laan, M. and Pollard, K. (2004). Multiple testing. Part I. Single-step procedures for control of general type I error rates. Statistical Applications in Genetics and Molecular Biology, 3(1): Article 13. Available at http://www.bepress.com/sagmb/vol3/iss1/art13.
  • 5
    • 0001276589 scopus 로고
    • On the limit behaviour of the joint distribution function of order statistics
    • Finner, H. and Roters, M. (1994). On the limit behaviour of the joint distribution function of order statistics. Annals of the Institute of Statistical Mathematics, 46, 343-349.
    • (1994) Annals of the Institute of Statistical Mathematics , vol.46 , pp. 343-349
    • Finner, H.1    Roters, M.2
  • 6
    • 10844286757 scopus 로고    scopus 로고
    • A stochastic process approach to false discovery control
    • Genovese, C. and Wasserman, L. (2004). A stochastic process approach to false discovery control. Annals of Statistics, 32, 1035-1061.
    • (2004) Annals of Statistics , vol.32 , pp. 1035-1061
    • Genovese, C.1    Wasserman, L.2
  • 9
    • 0022965475 scopus 로고
    • An improved sequentially rejective Bonferroni test procedure
    • Holland, B. and Copenhaver, M. (1987). An improved sequentially rejective Bonferroni test procedure. Biometrics, 43, 417-423.
    • (1987) Biometrics , vol.43 , pp. 417-423
    • Holland, B.1    Copenhaver, M.2
  • 10
    • 0002294347 scopus 로고
    • A simple sequentially rejective multiple test procedure
    • Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics, 6, 65-70.
    • (1979) Scandinavian Journal of Statistics , vol.6 , pp. 65-70
    • Holm, S.1
  • 11
    • 0039317420 scopus 로고
    • Controlled uncertainty
    • P. Bauer, G. Hommel and E. Sonnemann, eds, Springer, Heidelberg
    • Hommel, G. and Hoffmann, T. (1987). Controlled uncertainty. In Multiple Hypothesis Testing (P. Bauer, G. Hommel and E. Sonnemann, eds.) 154-161. Springer, Heidelberg.
    • (1987) Multiple Hypothesis Testing , pp. 154-161
    • Hommel, G.1    Hoffmann, T.2
  • 13
    • 3042552023 scopus 로고    scopus 로고
    • Controlling the number of false discoveries: Application to high-dimensional genomic data
    • Korn, E., Troendle, J., McShane, L. and Simon, R. (2004). Controlling the number of false discoveries: application to high-dimensional genomic data. Journal of Statistical Planning and Inference. 124, 379-398.
    • (2004) Journal of Statistical Planning and Inference , vol.124 , pp. 379-398
    • Korn, E.1    Troendle, J.2    McShane, L.3    Simon, R.4
  • 14
    • 23744439164 scopus 로고    scopus 로고
    • Generalizations of the familywise error rate
    • Lehmann, E. L. and Romano, J. (2005a). 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.2
  • 18
    • 39749172038 scopus 로고    scopus 로고
    • On stepdown control of the false discovery proportion
    • The Second E. L. Lehmann Symposium, Optimality, ed. Javier Rojo
    • Romano, J. and Shaikh, A. (2006a). On stepdown control of the false discovery proportion. In The Second E. L. Lehmann Symposium - Optimality, ed. Javier Rojo, Institute of Mathematical Statistics Lecture Notes-Monograph Series, Volume 49, 40-61.
    • (2006) Institute of Mathematical Statistics Lecture Notes-Monograph Series , vol.49 , pp. 40-61
    • Romano, J.1    Shaikh, A.2
  • 19
    • 33749828387 scopus 로고    scopus 로고
    • Stepup procedures for control of generalizations of the familywise error rate
    • to appear
    • Romano, J. and Shaikh, A. (2006b). Stepup procedures for control of generalizations of the familywise error rate. Annals of Statistics, to appear.
    • (2006) Annals of Statistics
    • Romano, J.1    Shaikh, A.2
  • 20
    • 49449103248 scopus 로고    scopus 로고
    • Control of generalized error rates in multiple testing
    • Technical Report 2005-12, Department of Statistics, Stanford University
    • Romano, J. and Wolf, M. (2005). Control of generalized error rates in multiple testing. Technical Report 2005-12, Department of Statistics, Stanford University.
    • (2005)
    • Romano, J.1    Wolf, M.2
  • 21
    • 33846546703 scopus 로고    scopus 로고
    • Simes' test and Hochberg's stepup procedure. Unpublished report
    • Sarkar, S. (2005). Generalizing Simes' test and Hochberg's stepup procedure. Unpublished report.
    • (2005) Generalizing
    • Sarkar, S.1
  • 22
    • 0031321241 scopus 로고    scopus 로고
    • The Simes method for multiple hypothesis testing with positively dependent test statistics
    • Sarkar, S. and Chang, C. (1997). The Simes method for multiple hypothesis testing with positively dependent test statistics. Journal of the American Statistical Association. 92, 1601-1608.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 1601-1608
    • Sarkar, S.1    Chang, C.2
  • 23
    • 67649345185 scopus 로고
    • An improved Bonferroni procedure for multiple tests of significance
    • Simes, R. (1986). An improved Bonferroni procedure for multiple tests of significance. Biometrika 73, 751-754.
    • (1986) Biometrika , vol.73 , pp. 751-754
    • Simes, R.1
  • 25
    • 14644413619 scopus 로고    scopus 로고
    • Augmentation procedures for control of the generalized family-wise error rate and tail probabilities for the proportion of false positives
    • Article, Available at
    • van der Laan, M., Dudoit, 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. Statistical Applications in Genetics and Molecular Biology, 3(1), Article 15. Available at http://www.bepress.com/sagmb/vol3/iss1/art14
    • (2004) Statistical Applications in Genetics and Molecular Biology , vol.3 , Issue.1 , pp. 15
    • van der Laan, M.1    Dudoit, S.2    Pollard, K.3
  • 26
    • 0019977106 scopus 로고
    • Exploratory data analysis and clinical research
    • Victor, N. (1982). Exploratory data analysis and clinical research. Methods of Information in Medicine 21, 53-54.
    • (1982) Methods of Information in Medicine , vol.21 , pp. 53-54
    • Victor, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.