General Multistage Gatekeeping Procedures
Identifieur interne : 001329 ( Main/Exploration ); précédent : 001328; suivant : 001330General Multistage Gatekeeping Procedures
Auteurs : Alex Dmitrienko [États-Unis] ; Ajit C. Tamhane [États-Unis] ; Brian L. Wiens [États-Unis]Source :
- Biometrical Journal [ 0323-3847 ] ; 2008-10.
English descriptors
- Teeft :
- Algorithm, Biometrical, Biometrical journal, Bonferroni, Clinical trials, Closure principle, Convex combination, Dmitrienko, Dunnett, Endpoint, Error rate, Error rate function, Fallback, Fhi1 hini, First stage, Fwer, Gatekeeping, Gatekeeping procedure, Gatekeeping procedures, Gmbh, Hochberg, Holm, Hypothesis, Intersection hypothesis, Kgaa, Monotonicity condition, More hypotheses, Mtps, Multiple tests, Multistage, Multistage gatekeeping procedure, Multistage gatekeeping procedures, Next stage, Null hypotheses, Parallel gatekeeping condition, Parallel gatekeeping procedure, Pharmaceutical statistics, Separability, Separability condition, Separable, Single family, Tamhane, Test statistics, Trial example, Truncation fraction, Verlag, Verlag gmbh, Wang, Weinheim, Weinheim biometrical journal, Wiens.
Abstract
A general multistage (stepwise) procedure is proposed for dealing with arbitrary gatekeeping problems including parallel and serial gatekeeping. The procedure is very simple to implement since it does not require the application of the closed testing principle and the consequent need to test all nonempty intersections of hypotheses. It is based on the idea of carrying forward the Type I error rate for any rejected hypotheses to test hypotheses in the next ordered family. This requires the use of a so‐called separable multiple test procedure (MTP) in the earlier family. The Bonferroni MTP is separable, but other standard MTPs such as Holm, Hochberg, Fallback and Dunnett are not. Their truncated versions are proposed which are separable and more powerful than the Bonferroni MTP. The proposed procedure is illustrated by a clinical trial example. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Url:
DOI: 10.1002/bimj.200710464
Affiliations:
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The procedure is very simple to implement since it does not require the application of the closed testing principle and the consequent need to test all nonempty intersections of hypotheses. It is based on the idea of carrying forward the Type I error rate for any rejected hypotheses to test hypotheses in the next ordered family. This requires the use of a so‐called separable multiple test procedure (MTP) in the earlier family. The Bonferroni MTP is separable, but other standard MTPs such as Holm, Hochberg, Fallback and Dunnett are not. Their truncated versions are proposed which are separable and more powerful than the Bonferroni MTP. The proposed procedure is illustrated by a clinical trial example. (© 2008 WILEY‐VCH Verlag GmbH & Co. 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