  Existing multi-outcome designs focus almost entirely on evaluating whether
all outcomes show evidence of efficacy or whether at least one outcome shows
evidence of efficacy. While a small number of authors have provided
multi-outcome designs that evaluate when a general number of outcomes show
promise, these designs have been single-stage in nature only. We therefore
propose two designs, of group-sequential and drop the loser form, that provide
this design characteristic in a multi-stage setting. Previous such
multi-outcome multi-stage designs have allowed only for a maximum of two
outcomes; our designs thus also extend previous related proposals by permitting
any number of outcomes.
