Summary
In this paper a new distribution-free test based onU-statistics is offered for the hypothesis of “row effect.” Asymptotic distribution of the test statistic is obtained under the null hypothesis and under translation alternatives. Asymptotic efficiency of this test relative to the classical analysis of variance test is the same as the asymptotic efficiency of Mann-Whitney test relative to thet-test. A selection procedure to choose the row with the highest “yield,” based on the above test is developed.
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Gore, A.P. Some nonparametric tests and selection procedures for main effects in two-way layouts. Ann Inst Stat Math 27, 487–500 (1975). https://doi.org/10.1007/BF02504666
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DOI: https://doi.org/10.1007/BF02504666