An Extended Framework of Multiple Testing in Group Sequential Design

Here, we consider testing multiple hypotheses in group sequential trials. A graphical multiple test procedure was proposed for group sequential trials using weighted Bonferroni test. In this paper, we extend the framework for the graph-based group sequential procedure by applying a modified weighted Simes test. The proposed procedure preserves the familywise error rate. Simulations are conducted to evaluate the performances of the proposed procedure. The proposed procedures are also illustrated with a numerical example.