Advantages of the Closed Testing Method in Multiple Comparisons Procedures

References

• Arboretti Giancristofaro , R. , Bonnini , S. , Corain , L. , Solmi , F. ( 2009 ). A comparative study on multiple comparison procedures. In: Proceedings of the Conference of the Italian Statistical Society, Book of Short Papers. Chieti-Pescara: University G. d'Annunzio, pp. 307–310 .
   Google Scholar
• Benjamini , Y. , 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 .
   Google Scholar
• Burman , C. F. , Sonesson , C. , Guilbaud , O. ( 2009 ). A recycling framework for the construction of Bonferroni-based multiple tests . Statistics in Medicine 28 : 739 – 761 .
   PubMed Web of Science ®Google Scholar
• Cabral , H. J. ( 2008 ). Multiple comparisons procedures . Circulation 117 : 698 – 701 .
   PubMed Web of Science ®Google Scholar
• Corain , L. , Salmaso , L. ( 2007 ). A nonparametric method for defining a global preference ranking of industrial products . Journal of Applied Statistics 34 ( 2 ): 203 – 216 .
   Web of Science ®Google Scholar
• Dmitrienko , A. , Wiens , B. L. , Tamhane , A. C. ( 2007 ). Tree-structured gatekeeping tests in clinical trials with hierarchically ordered multiple objectives . Statistics in Medicine 26 : 2465 – 2478 .
   PubMed Web of Science ®Google Scholar
• Donogue , R. J. ( 2004 ). Implementing Shaffer's multiple comparison procedure for a large number of groups . Recent Developments in Multiple comparison Procedures, Institute of Mathematical Statistics 47 : 1 – 23 .
   Google Scholar
• Guilbaud , O. ( 2008 ). Simultaneous confidence regions corresponding to Holm's step-down procedure and other closed-testing procedures . Biometrical Journal 50 : 678 – 692 .
   PubMed Web of Science ®Google Scholar
• Holm , S. ( 1979 ). A simple sequentially rejective multiple test procedure . Scandinavian Journal of Statistics 6 : 65 – 70 .
   Web of Science ®Google Scholar
• Horn , M. , Dunnet , C. W. ( 2004 ). Power and sample size comparisons of stepwise FWE and FDR controlling test procedures in the normal many-one case . Recent Developments in Multiple Comparison Procedures, Institute of Mathematical Statistics 47 : 48 – 64 .
   Google Scholar
• Marcus , R. , Peritz , E. , Gabriel , K. R. ( 1976 ). On closed testing procedures with special reference to ordered analysis of variance . Biometrika 63 : 655 – 660 .
   Web of Science ®Google Scholar
• Montgomery , D. C. ( 2004 ). Design and Analysis of Experiments. , 5th ed. New York : Wiley .
   Google Scholar
• Moser , V. C. ( 1989 ). Screening approaches to neurotoxicity: A functional observational battery . Journal of the American College of Toxicology 8 : 85 – 93 .
   Google Scholar
• Moser , V. C. ( 1992 ). Applications of a neurobehavioral screening battery . Journal of the American College of Toxicology 10 : 661 – 669 .
   Google Scholar
• Pesarin , F. ( 2001 ). Multivariate Permutation Tests with Applications in Biostatistics . New York : Wiley .
   Google Scholar
• Pesarin , F. , Salmaso , L. ( 2010 ). Permutation Tests for Complex Data: Theory, Applications and Software . New York : Wiley .
   Google Scholar
• Rafter , J. A. , Abell , M. L. , Braselton , J. P. ( 2002 ). Multiple comparison methods for means . Society for Industrial and Applied Mathematics 44 : 259 – 278 .
   Google Scholar
• Ramsey , P. H. ( 1978 ). Power differences between pairwise multiple comparisons. Comments . Journal of the American Statistical Association 73 : 479 – 487 .
   Web of Science ®Google Scholar
• Seaman , M. A. ( 1997 ). Tables for pairwise multiple comparisons using Shaffer's modified sequentially-rejective procedure . Communications in Statistics–Simulation and Computation 26 : 687 – 705 .
   Web of Science ®Google Scholar
• Shaffer , J. P. ( 1986 ). Modified sequentially rejective multiple test procedure . Journal of the American Statistical Association 81 : 826 – 831 .
   Web of Science ®Google Scholar
• Suolakova , J. N. ( 2009a ). Comparison of several testing strategies for combination drug efficacy trials based on the closure principle . Statistics in Medicine 28 : 260 – 273 .
   PubMed Web of Science ®Google Scholar
• Suolakova , J. N. ( 2009b ). On identifying effective and superior drug combinations via Holm's procedure based on the min tests . Journal of Biopharmaceutical Statistics 26 : 280 – 291 .
   Web of Science ®Google Scholar
• Vallejo Seco , G. , Menèndez de la Fuente , I. A. , Escudero , J. R. (2001). Pairwise multiple comparisons under violation of the independence assumption. Quality & Quantity 35:71–76.
   Google Scholar
• Westfall , P. H. ( 1997 ). Multiple testing of general contrasts using logical constraints and correlations . Journal of the American Statistical Association 92 : 299 – 306 .
   Web of Science ®Google Scholar
• Westfall , P. H. ( 2007 ). Multiple testing of general contrasts: Truncated closure and the extended Shaffer-Royen method . Journal of the American Statistical Association 102 : 487 – 494 .
   Web of Science ®Google Scholar
• Westfall , P. H. , Tobias , R. D. , Rom , D. , Wolfinger , R. D. , H. Y. ( 1999 ). Multiple Comparisons and Multiple Tests Using SAS. SAS Institute Inc .
   Google Scholar