Global power functions of goodness of t tests

نویسنده

  • Arnold Janssen
چکیده

It is shown that the global power function of any nonparametric test is at on balls of alternatives except for alternatives coming from a nite dimensional sub-space. The present benchmark is here the upper one-sided (or two-sided) envelope power function. It turns out that also the level points are far away from the corresponding Neyman Pearson test level points except for a nite number of orthogonal directions of alternatives. For certain submodels the result is independent of the underlying sample size. In the last section the statistical consequences are discussed and special goodness of t tests are recommended.

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تاریخ انتشار 2000