416 – Clinical Trial Design- 4
Covering Principle: A New Approach to Address Multiplicity in Hypothesis Testing
Huajiang Li
Avanir Pharmaceuticals
Hong Zhou
Arkansas State University
The converting principle has proposed recently to deal with the multiplicity issues when multiple hypotheses are tested simultaneously. New multiple testing procedures are constructed based on the covering principle by using the information among the rejection regions of hypotheses in the sample space. The new procedures can strongly control the familywise error rate. Applications of new procedures to real clinical trials are presented to illustrate how to use the new procedures. The simulation studies show that new procedures are more powerful than the widely used graphical approaches in some scenarios. In addition, the covering principle provides new solutions to the gate-keeping problems.