Alternative condence regions for bonferroni-based closed-testing procedures that are not alpha-exhaustive

Biometrical Journal

Volumn 51, Issue 4, 2009, Pages 721-735

  Guilbaud, Olivier ^a  

^a ASTRAZENECA R AND D   (Sweden)

Author keywords

Fallback procedure; Graphical procedures; Holm procedure; Parallel gatekeeping procedure; Simultaneous condence regions.

Indexed keywords

CLOSED TESTING PROCEDURE; FALLBACK PROCEDURE; GATEKEEPING; GRAPHICAL PROCEDURE; HOLM PROCEDURE; MULTIPLE TESTING; P-VALUES; PARALLEL-GATEKEEPING PROCEDURE; SIMULTANEOUS CONDENCE REGION.; TESTING PROCEDURE;

GRAPHIC METHODS;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; CONFIDENCE INTERVAL; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; CONFIDENCE INTERVALS; DATA INTERPRETATION, STATISTICAL; MODELS, STATISTICAL;

EID: 70350704498     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.200800113     Document Type: Article

References (18)

1. Bretz, F., Maurer, W., Brannath, W. and Posch, M. (2009). A graphical approach to sequentially rejective multiple test procedures. Statistics in Medicine 28, 586-604.
2. Burman, C.-F., Sonesson, C. and Guilbaud, O. (2009). A recycling framework for the construction of Bonferroni-based multiple tests. Statistics in Medicine 28, 739-761.
3. Dmitrienko, A., Offen, W. and Westfall, P. (2003). Gatekeeping strategies for clinical trials that do not require all primary effects to be significant. Statistics in Medicine 22, 2387-2400.
4. Dmitrienko, A. and Tamhane, A. C. (2007). Gatekeeping procedures with clinical trial applications. Pharmaceutical Statistics 6, 171-180.
5. Dmitrienko, A., Tamhane, A. C., Wang, X. and Chen, X. (2006a). Stepwise gatekeeping procedures in clinical trial applications. Biometrical Journal 48, 984-991.
6. Dmitrienko, A., Tamhane, A. C. and Wiens, B. L. (2008). General multistage gatekeeping procedures. Biometrical Journal 50, 667-677.
7. Dmitrienko, A., Wiens, B. L. and Westfall, P. (2006b). Fallback tests in dose-response clinical trials. Journal of Biopharmaceutical Statistics 16, 745-755.
8. Finner, H. and Strassburger, K. (2002). The partitioning principle: a powerful tool in multiple decision theory. Annals of Statistics 30, 1194-1213.
9. Guilbaud, O. (2007). Bonferroni parallel gatekeeping - transparent generalizations, adjusted p-values, and short direct proofs. Biometrical Journal 49, 917-927.
10. Guilbaud, O. (2008). Simultaneous confidence regions corresponding to Holm's step-down procedure and other closed-testing procedures. Biometrical Journal 50, 678-692.
11. Hartung, H. P., Gonsette, R., König, N., Kwiecinski, H., Guseo, A., Morrissey, S. P., Krapf, H. and Zwingers, T. (2002). Mitoxantrone multiple sclerosis group study group. Mitoxantrone in progressive multiple sclerosis: a placebo-controlled, double-blind, randomised, multicentre trial. Lancet 360, 2018-2025.
12. Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics 6, 65-70.
13. Hommel, G. and Bretz, F. (2008). Aesthetics and power considerations in multiple testing - a contradiction? Biometrical Journal 50, 657-666.
14. Hommel, G., Bretz, F. and Maurer, W. (2007). Powerful short-cuts for multiple testing procedures with special reference to gatekeeping strategies. Statistics in Medicine 26, 4063-4073.
15. Hsu, J. C. and Berger, R. L. (1999). Stepwise confidence intervals without multiplicity adjustment for dose-response and toxicity studies. Journal of the American Statistical Association 94, 468-482.
16. Lachin, J. M. (1992). Some large-sample distribution-free estimators and tests for multivariate partially incomplete data from two populations. Statistics in Medicine 11, 1151-1170.
17. Strassburger, K. and Bretz, F. (2008). Compatible simultaneous lower confidence bounds for the Holm procedure and other Bonferroni-based closed tests. Statistics in Medicine 27, 4914-4927.
18. Wiens, B. L. and Dmitrienko, A. (2005). The fallback procedure for evaluating a single family of hypotheses. Journal of Biopharmaceutical Statistics 15, 929-942.