Exact tests based on the Baumgartner-Weiß-Schindler statistic—A survey

Abstract

It is the purpose of this paper to review recently-proposed exact tests based on the Baumgartner-Weis-Schindler statistic and its modification. Except for the generalized Behrens-Fisher problem, these tests are broadly applicable, and they can be used to compare two groups irrespective of whether or not ties occur. In addition, a nonparametric trend test and a trend test for binomial proportions are possible. These exact tests are preferable to commonly-applied tests, such as the Wilcoxon rank sum test, in terms of both type I error rate and power.