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A class of distribution-free tests for testing homogeneity against ordered location alternatives. (English) Zbl 0925.62169

Summary: A class of distribution-free tests for the \(k\)-sample location problem is proposed. The proposed class of test statistics is based on a linear combination of two-sample \(U\)-statistics proposed by I. D. Shetty and Sharada V. Bhat [Stat. Prob. Letters 19, 199-204 (1994; Zbl 0795.62045)]. The optimal weights are determined and the optimum values of subsample sizes for which the test attains maximum efficacy are obtained. Some ARE comparisons are made.

MSC:

62G10 Nonparametric hypothesis testing

Citations:

Zbl 0795.62045
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References:

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