Abstract
In the medical study, selecting the appropriate medicines is a very important issue. Cheng-Shiun Leu and Bruce Levin have designed a procedure, for selecting medicines in phase-II, which is called adaptive design in phase-II clinical trials. It focuses on how to select efficiently the medicines with better efficacy, and also focus on reducing the sample size and costs of the experiments. The responses they consider are Bernoulli distributed. Through the sequential procedures, we can select the best medicines. Two sequential procedures are considered, one is non-adaptive and the other is adaptive. By using these procedures, the probability of correct selection has a low bound. Also, the number of testers can be reduced. But there are drugs, like antihypertensive drugs, their responses are continuous variables. In this thesis, we study those drugs with Normal distributed responses, and provide corresponding sequential procedures (non-adaptive and adaptive). We compare the results of these procedures. By simulations, we can verify that adaptive procedure reduces more testers than non-adaptive one does.