In this paper the following asymptotic efficiencies are computed for the given two-sample tests against normal alternatives to the null hypothesis: rank test for location………… 3/π 95% median test for location………… 2/π 64% run test for location……… … 0 run test for dispersion………… 0 square rank test for dispersion………… 15/2π² 76% Also, general expressions for means and variances of some of these test criteria are found for distributions alternative to the null hypothesis.
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Alexander M. Mood (1954) studied this question.
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