Two-stage group screening-designs with unequal probabilities

Abstract

The purpose of screening is to reduce a large set of explanatory variables or factors to the set of important variables, assuming that there are only a few really important explanatory variables. In this study, the formula for the pairwise conditional probabilities and the jointly conditional probabilities for two-stage group screening designs have been derived. Also the formula for the expected number of incorrect decisions has been obtained. It has been assumed in this study that the factors are defective with different a-priority probabilities and the group screening designs described in this study are those which minimize: (i) The expected number of runs for a fixed value of the expected number of incorrect decisions. (ii) The expected total cost