A nonparametric multiple comparison test for differences in scale parameters. (English) Zbl 0691.62045

Summary: A nonparametric multiple comparison test for differences in scale parameters is suggested. The asymptotic distribution of the test statistic is derived. A modification of the test when the location parameters are unknown and unequal is suggested. This modified test is not asymptotically distribution free for all underlying location-scale families; however, we give sufficient conditions on the families under which the test is asymptotically distribution free.


62G10 Nonparametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
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