A Conditionally Distribution-Free Multivariate Sign Test for One-Sided Alternatives
面向单侧备择的条件分布无关多元符号检验
We consider the problem of testing the hypothesis that a multivariate location vector is in the positive orthant. A conditionally distribution-free sign test is proposed for this problem. This test is related to the Hodges test and can be motivated by the union–intersection principle. Moreover, it is valid under very mild assumptions. A characterization of the conditional null distribution of the test statistic is given. We provide a step-by-step procedure that can be used…