Local powers of two-sample and multi-sample rank tests for Lehmann's contaminated alternative (Q1069604)

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scientific article; zbMATH DE number 3936226
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Local powers of two-sample and multi-sample rank tests for Lehmann's contaminated alternative
scientific article; zbMATH DE number 3936226

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    Local powers of two-sample and multi-sample rank tests for Lehmann's contaminated alternative (English)
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    1985
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    Local powers of two- and k-sample rank tests under alternatives of contaminated distributions are investigated. It is shown that the rank tests based on normal scores and Wilcoxon scores are superior to the t- test or the F-test for many choices of alternatives of contaminated distributions and that the values of the asymptotic relative efficiency of the rank test based on Wilcoxon scores with respect to the normal scores are about one in all the investigated cases.
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    Lehmann's contaminated alternative
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    locally most powerful rank tests
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    contiguity
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    Local powers
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    two- and k-sample rank tests
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    alternatives of contaminated distributions
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    normal scores
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    Wilcoxon scores
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    t-test
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    F- test
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