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Exact tests based on the Baumgartner-Weiß-Schindler statistic—A survey
Authors:Markus Neuhäuser
Institution:(1) Institute for Medical Informatics, Biometry and Epidemiology, University Hospital Essen, Hufelandstr. 5, 45122 Essen, Germany
Abstract:It is the purpose of this paper to review recently-proposed exact tests based on the Baumgartner-Weiß-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.
Keywords:Cochran-Armitage test  conditional test  conservatism  Jonckheere-Terpstra test  Kolmogorov-Smirnov test  nonparametrics  ties  Wilcoxon rank sum test
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