MULTIPLE TESTING TO ESTABLISH SUPERIORITY EQUIVALENCE OF A NEW TREATMENT COMPARED WITH KAPPA STANDARD TREATMENTS/

In this paper we develop multiple hypotheses testing procedures to com pare a new treatment with a set of standard treatments in a clinical t rial. The aim is to classify the new treatment with respect to each of the standards, by specifying those to which the new treatment is supe rior, those to which the new treatment is equivalent and those to whic h one can establish neither superiority nor equivalence. We propose se veral stepwise procedures and compare them with respect to their famil y wise error rates and power. The step-down methods SD1 and SD2 test f or superiority first, followed by tests for equivalence for those comp arisons where we cannot establish superiority. The step-up methods SU1 and SU2 test for equivalence first, followed by tests for superiority for those comparisons where we can establish at least equivalence. Th e methods SD3 and SU3 apply the tests for superiority and equivalence in pairs. All the methods require that we specify a threshold value de lta > 0 in advance for defining equivalence. In applications where it is not possible to specify a value delta, we can use the method SD1 by testing for superiority first, followed by one-sided confidence limit s on the efficacy differences for those comparisons where we cannot es tablish superiority. (C) 1997 by John Wiley & Sons, Ltd.