Max-type rank tests, U-tests and adaptive tests for the two-sample location problem - An asymptotic power study

摘要

Purpose:To report on power study of a few tests for the two-sample location problem. Summary:Two types of tests are considered: linear rank tests with various scores and some tests based on U-statistics. For both types adaptive tests (AT) as well as max-type tests are constructed and their asymptotic and finite sample power properties are investigated. Both the ATs have a larger asymptotic power. For small samples, however, some of the max-type tests are preferable. U-statistics are convenient if extreme densities may occur. (36 refs.)