International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 1, Pages 137-143
doi:10.1155/S0161171283000125
A note on selecting the better binominal population
DEPARTMENT OF MANAGEMENT & MARKETING, ILLINOIS STATE UNIVERSITY, NORMAL 61761, ILLINOIS, USA
Received 31 August 1981; Revised 23 August 1982
Copyright © 1983 S. S. Chitgopekar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
An inverse sampling procedure is proposed for the problem of selecting the better of two treatments when the responses are dichotomous. This procedure is particularly useful when it is desired to limit the number of failures during the decision making stage. The regret function of the procedure is derived and it is shown that this procedure has a minimax regret property when compared to a fixed sample procedure studied by Pradhan and Sathe [2]. Numerical evidence indicates that this procedure dominates the fixed sample procedure of Pradhan and Sathe over the entire parameter space.