Multistage Parallel Gatekeeping with Retesting

• Activity Number: 307
• Type: Contributed
• Date/Time: Tuesday, August 2, 2011 : 8:30 AM to 10:20 AM
• Sponsor: Biopharmaceutical Section
• Author(s): George Kordzakhia*+ and Alex Dmitrienko
• Companies: U.S. Food and Drug Administration and Eli Lilly and Company
• Keywords: Multiple Comparisons ; Familywise error rate ; Parallel gatekeeping ; Cosure principle ; Mixture procedure

Abstract

This talk introduces a general method for constructing multistage parallel gatekeeping procedures with a retesting option. This approach serves as an extension of general multistage parallel gatekeeping procedures (Dmitrienko, Tamhane and Wiens, 2008) and parallel gatekeeping procedures with retesting for two-family problems (Dmitrienko, Kordzakhia, and Tamhane, 2011). It was shown in the latter paper that power of parallel gatekeeping procedures can be improved by adding an additional retesting stage which enables retesting of the primary null hypotheses using a more powerful component procedure than the original procedure if all secondary null hypotheses are rejected. The new method enables clinical trial researchers to construct a class of more general multistage parallel gatekeeping procedures with retesting. The new procedures support multiple retesting of the primary and secondary families and do not require all secondary null hypotheses be rejected.