On studentized non-parametric multi-sample location tests

SummaryThe usual non-parametric multi-sample location tests are based on the assumed identity of the scale parameters of the different cumulative distribution functions (cdf’s). Here is considered the problem of testing the homogeneity of the location parameters without assuming the identity of the corresponding scale parameters. Such a test appears to be very rare in the literature on non-parametric location tests, and the necessary modifications with a class of tests based on certain U-statistics and order statistics, have been discussed here.