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• W4243307002 abstract "SummaryConsider samples from continuous distributions F(x) and F(x — θ). We may test the hypothesis θ = 0 by using the two-sample Wilcoxon test. We show in Section 1 that its asymptotic Pitman efficiency, relative to the f-test, never falls below 0.864. This result also holds for the Kruskal-Wallis test compared with the jF-test, and for testing the location parameter of a single symmetric distribution.A number of alternative notions of asymptotic efficiency are compared in Section 2. In this connection, certain difficulties arise because power is not necessarily a convex function of sample size. As an alternative to the Pitman notion of asymptotic efficiency, we consider in Section 3 one based on the speed with which power at a fixed alternative tends to 1. In particular we obtain, for the sign test relative to the t in normal populations, the limit as n —► ∞ of the sequence of power efficiency functions. It is noted that certain interchanges of limit passages are not always possible." @default.
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• W4243307002 date "2011-11-19" @default.
• W4243307002 modified "2023-09-26" @default.
• W4243307002 title "The Efficiency of Some Nonparametric Competitors of the t-Test" @default.
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• W4243307002 doi "https://doi.org/10.1007/978-1-4614-1412-4_34" @default.
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