We generalize the problem of detecting qualitative interaction between
treatments and subsets in a two treatment clinical trial to the more
practical problem of detecting a qualitative interaction greater than
a non-negative value d, corresponding to the minimal treatment differe
nce of clinical significance. We develop a test based on simultaneous
confidence intervals for the generalized problem under the assumption
of normality. The proposed test is easy to implement, either by hand c
alculation or through the use of virtually any existing statistical so
ftware. We derive explicit power function for the proposed test and gi
ve examples to illustrate the procedures. (C) 1997 by John Wiley & Son
s Ltd.