To compute the sample size needed to achieve the planned power for a t
-test, one needs an estimate of the population standard deviation sigm
a. If one uses the sample standard deviation from a small pilot study
as an estimate of sigma, it is quite likely that the actual power for
the planned study will be less than the planned power. Monte Carlo sim
ulations indicate that using a 100(1 - gamma) per cent upper one-sided
confidence limit on sigma will provide a sample size sufficient to ac
hieve the planned power in at least 100(1 - gamma) per cent of such tr
ials.