Resumen
Consider k(?2) independent populations ?1,…,?k such that an observation from population ?i follows a logistic distribution with unknown location parameter ?i and common known scale parameter ?2,i=1,…,k. Let ?[1]????[k] be the unknown ordered values of ?s and the population associated with ?[k] be the upper extreme population (UEP) and the population associated ?[1] be the lower extreme population (LEP). In this paper, we discuss a procedure on the lines of Liu [On a multiple three-decision procedure for comparing several treatments with a control. Austral. J. Statist. 39, 79–97] and Boher [Multiple three-decision rules for parametric signs. J. Amer. Statist. Assoc. 74, 432–437], for classifying k logistic populations by the location parameters as better or worse than a control/standard population. In the absence of any standard/control population, we propose a selection procedure for simultaneous selection of two non-empty random size subsets, one containing population associated with largest mean and the other containing population associated with smallest mean with a pre-specified probability P*(1/k(k-1)