To Study Properties of a Known Procedure in Adaptive Sequential Sampling Design

We revisit the procedure proposed by Bhandari et al. (2009) in the context of two-treatment clinical trials, with the objective of minimizing the applications of a less effective drug to the least number of patients. Our focus is on an adaptive sequential procedure that is both simple and intuitive. Our findings show that the expected number of applications of the less effective drug remains finite. In contrast, Bhandari et al. (2009) observed that this number increases logarithmically with the total sample size. We attribute this discrepancy to differences in their choice of starting sample size and the method of analysis employed.