Group sequential clinical trials with triangular continuation regions

In this paper a new class of group sequential procedures for clinical trials is introduced, and the use of these procedures is illustrated by reference to a recently completed comparative study. In a group sequential trial the decision to stop or to continue is made at regular intervals throughout the trial, but not as frequently as after every patient response. This more practical formulation retains most of the advantages of sequential analysis, particularly the economy in sample size. Comparisons are made with group sequential designs derived from the repeated significance test.