Optimal Adaptive Designs in Phase-II Trials
Anindita Banerjee
Statistics
North Carolina State University
*Candidate for the Assistant/Associate Professor Position
Thursday, March 16th
3:30pm
Moos 2-620
Minneapolis Campus
Abstract:
Phase-II trials provide a platform where, on the basis of the efficacy of the
drugs, ineffective drugs are screened out and promising drugs move on to the
next phase. The efficacy of the drug is often evaluated by a binary response,
i.e. success or failure of the drug and is determined by testing the response
probability. Two stage designs are widely used for this purpose because they
result in correct decisions with the same accuracy as a one-stage trial but
with smaller average sample sizes. Simon (1989) proposed optimal fixed two-stage
designs which minimize the expected sample size under the null hypothesis. We
have derived optimal adaptive designs at the null that perform better than Simon's
design, though the gains are modest (BanerjeeandTsiatis,2005). By adaptive we
mean that the second stage sample size will be dependent on the results from
the first stage. We further explore optimal adaptive designs that minimize the
expected sample size at the alternative hypothesis, at a probability midpoint
between the null and alternative hypothesis and a weighted combination of the
null, alternative and midpoint value. We also construct an envelope function
that gives the lowest expected sample size for any possible value of the response
probability. The different designs are compared to each other as well as the
envelope function. Mostly, the designs that minimize the expected sample size
at the midpoint between the null and alternative hypothesis and the design that
minimizes a weighted average of the response probabilities perform best across
a range of the parameter values, is closest to the envelope function, and generally
outperform Simon's design.
This is a joint work with Dr. Anastasios A.Tsiatis, North Carolina State University
,North Carolina.
A social tea will be held at 3:00P.M. in A434 Mayo. All are Welcome.
For more details contact 612-624-4655 or see http://www.biostat.umn.edu/seminar_academic.html