Contributions to selection and ranking theory with special reference to logistic populations

Abstract : Selection and ranking (more broadly multiple decision) problems arise in many practical situations where the so-called tests of homogeneity do not provide the answers the experimenter wants. The logistic distribution has been applied in studies of population growth, of mental ability, of bio-assay, of life test data and of biochemical data, but the complete distribution of the sample means and variances of a logistic population has not been obtained yet. This paper studies the selection and ranking problems for logistic populations and an elimination type two-stage procedure for selecting the best population using a restricted subset selection rule in its first stage. Keywords: Edgeworth series expansions; Mean; Tables(Data); Statistical data.