Selection of Hypothesis Weights and Ordering When Testing Multiple Hypotheses in Clinical Trials

REFERENCES

• Benjamini , Y. , Hochberg , Y. ( 1997 ). Multiple hypothesis testing with weights . Scandinavian Journal of Statistics 24 : 407 – 418 .
   Web of Science ®Google Scholar
• Bretz , F. , Maurer , W. , Brannath , W. , Posch , M. ( 2009 ). A graphical approach to sequentially rejective multiple test procedures . Statistics in Medicine 28 : 586 – 604 .
   PubMed Web of Science ®Google Scholar
• Dmitrienko , A. , Offen , W. W. , 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 .
   PubMed Web of Science ®Google Scholar
• Dmitrienko , A. , Tamhane , A. C. ( 2007 ). Gatekeeping procedures with clinical trial applications . Pharmaceutical Statistics 6 : 171 – 180 .
   PubMed Web of Science ®Google Scholar
• Dmitrienko , A. , Bretz , F. , Westfall , P. H. , Troendle , J. , Wiens , B. L. , Tamhane , A. C. , Hsu , J. C. ( 2009 ). Multiple testing methodology . In: Dmitrienko , A. , Tamhane , A. C. , Bretz , F. , eds. Multiple Testing Problems in Pharmaceutical Statistics . New York , NY : Chapman and Hall/CRC Press , pp. 35 – 98 .
   Google Scholar
• Dmitrienko , A. , Millen , B. , Brechenmacher , T. , Paux , G. ( 2011 ). Development of gatekeeping strategies in confirmatory clinical trials . Biometrical Journal 53 : 875 – 893 .
   PubMed Web of Science ®Google Scholar
• Hochberg , Y. ( 1988 ). A sharper Bonferroni procedure for multiple tests of significance . Biometrika 75 : 800 – 802 .
   Web of Science ®Google Scholar
• Holm , S. ( 1979 ). A simple sequentially rejective multiple comparisons procedure . Scandinavian Journal of Statistics 6 : 65 – 70 .
   Web of Science ®Google Scholar
• Hommel , G. ( 1988 ). A stagewise rejective multiple test procedure based on modified Bonferroni test. Biometrika 75:383–386 .
   Google Scholar
• Huque , M. , Alosh , M. ( 2008 ). A flexible fixed-sequence testing method for hierarchically ordered correlated multiple endpoints in clinical trials . Journal of Statistical Planning and Inference 138 : 321 – 335 .
   Web of Science ®Google Scholar
• Li , D. , Mehrotra , D. ( 2008 ). An efficient method for accommodating potentially underpowered primary endpoints . Statistics in Medicine 27 : 5377 – 5391 .
   PubMed Web of Science ®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
• Millen , B. , Dmitrienko , A. ( 2011 ). Chain procedures: A class of flexible closed testing procedures with clinical trial applications . Statistics in Biopharmaceutical Research 3 : 14 – 30 .
   Web of Science ®Google Scholar
• Spjotvoll , E. ( 1972 ). On the optimality of several multiple comparison procedures . Annals of Mathematical Statistics 43 : 398 – 411 .
   Google Scholar
• Tamhane , A. C. , Liu , L. (2008). On weighted Hochberg procedures. Biometrika 95:279–294.
   Web of Science ®Google Scholar
• Tamhane , A. C. , Dmitrienko , A. ( 2009 ). Analysis of multiple endpoints in clinical trials . In: Dmitrienko , A. , Tamhane , A. C. , Bretz , F. eds. Multiple Testing Problems in Pharmaceutical Statistics . New York , NY : Chapman and Hall/CRC Press , pp. 131 – 164 .
   Google Scholar
• Westfall , P. H , Krishen , A. ( 2001 ). Optimally weighted, fixed sequence and gatekeeper multiple testing procedures . Journal of Statistical Planning and Inference 99 : 25 – 40 .
   Web of Science ®Google Scholar
• Wiens , B. ( 2003 ). A fixed sequence Bonferroni procedure for testing multiple endpoints . Pharmaceutical Statistics 2 : 211 – 215 .
   Web of Science ®Google Scholar
• Wiens , B. ( 2011 ). Multiple testing procedures in two pivotal clinical trials for approval of a new pharmaceutical product . Journal of Biopharmaceutical Statistics 21 : 669 – 681 .
   PubMed Web of Science ®Google Scholar
• Wiens , B. , Dmitrienko , A. ( 2005 ). The fallback procedure for evaluating a single family of hypotheses . Journal of Biopharmaceutical Statistics 15 : 929 – 942 .
   PubMed Web of Science ®Google Scholar
• Zhao , Y. , Dmitrienko , A. , Tamura , R. ( 2010 ). Design and analysis considerations in clinical trials with a sensitive subpopulation . Statistics in Biopharmaceutical Research 2 : 72 – 83 .
   Web of Science ®Google Scholar