APPLICATION OF STATISTICAL-INFERENCE FOR PARTIALLY ORDERED HYPOTHESES

In quality control and decision support systems, ranking and selection are very important, because we often encounter situations in which we need to rank several objects and to select some out of them. We inves tigate a problem of ranking kappa(greater than or equal to 2) independ ent normal populations and selecting superior or inferior m(less than or equal to kappa) out of them. The purpose of this paper is to formul ate the problem as that of statistical hypothesis test, and to give cr itical values for practical use. We present computational methods for the level probabilities, which are needed for finding the critical val ues.