In some multiple treatment arm clinical trials there is an order of pr
eference for the treatments based on secondary considerations like tox
icity or cost. In this paper, we consider the case where two or more t
reatments could have equal prior preference. This formulation includes
the problem of comparing several equally preferred experimental treat
ments to one control, or the comparison of a combination with its comp
onents. Our decision procedures will guarantee a high selection probab
ility for the correct treatment(s) when that selection is appropriate.
We establish sample size requirements for our decision procedures whi
ch can be applied to clinical trials with normal, binomial, or right c
ensored exponential endpoints.