Consider a sequential test applied to two streams of binary responses
in a comparative clinical trial. After the completion of such a trial
Woodroofe's (1992) technique for accurate confidence interval estimati
on for a treatment difference can be applied. In this paper the techni
que is extended to provide confidence intervals for the individual abs
olute success probabilities of the two treatments in the trial, for wh
ich no current methodology exists. Accuracy is explored by simulation
of coverage probabilities and individual confidence limit probabilitie
s. The simulations concern a triangular test and an O'Brien & Fleming
test.