Generalized sequential ranks and tests of randomness |
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Authors: | J Krauth |
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Institution: | Psyehologisehes Institut der Universit?t Düsseldorf Universit?tsstr. 1 , Düssel-dorf, BRD, D-4000 |
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Abstract: | Generalized sequential ranks are defined and are proved to be independent and uniformly distributed under the hypothesis of randomness. By comparison with a Spear-MAsr-type statistic it is shown that in certain cases the test based on the sum of all sequential ranks is an asymptotically optimum test for trend against logistic regression. The test is equivalent to tests proposed by Jonckheere and Terpstra and has a high efficiency when compared with the optimal parametric test for normal regression alternatives. |
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Keywords: | Generalized sequential ranks tests of randomness JONCKHEERE-test non-parametric tests for trend |
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