Some testing problems for location and scale parameters using U statistics

Abstract

In Statistics, hypothesis testing is used for testing the equality of population parameters. Testing the equality of populations is one of the basic problems in Natural Sciences, Social Sciences and Formal Sciences. We developed some general classes of tests for testing the hypothesis associated with location/scale parameters of the two or more underlying populations in order to gain more efficiency in comparison to existing tests. An optimal choice of sub-sample size along with optimal choice of order statistics is obtained to maximize the efficacy. A general choice of optimal weights is worked out for testing the parameters without any restrictions on number of populations, sample size and peak of the restrictive alternatives. The application of the proposed classes of tests is demonstrated through existing real life data sets. Statistical power of the proposed classes of tests is computed using Monte Carlo simulation study. newline