ON SELECTION PROCEDURES FOR EXPONENTIAL DISTRIBUTIONS

Abstract

The nonparametric selection problems in analysis of variance have been mainly developed for one-way layout models. For example, Lehmann [4], Puri and Puri [6] and Alam and Thompson [1] have respectively discussed the selection procedures based on the ranks of the observations. Randles [7] has also emphasized the use of the Hodges-Lehmann estimates for the same models to eliminate the difficulties concerning the least favorable configuration (cf. Rizvi and Woodworth DO. Only a work for the two-way layouts is seen in Hollander [3]. We consider some selection problems under the more general two-way layout models. Let Xia be the random observation on the i-th treatment IIi in the a-th block and suppose that