Abstract
A rank testR n has been proposed by Cronholm and Revusky which in effect increases the number of observations per subject by the device of randomly assigning a subject to a treated group in each of a series of sub-experiments. In this note further results on the asymptotic normality of theR n test are discussed both under the null hypothesisH 0 of randomness and under a class of alternatives toH 0. The limiting power of the test is also discussed.
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References
Cox, D. R. Some procedures connected with the logistic qualitative response curve. In F. N. David (Ed.),Research papers in statistics. Wiley & Sons, 1966, 55–71.
Cronholm, J. N. and Revusky, S. H. A sensitive rank test for comparing the effects of two treatments on a single group.Psychometrika, 1965,30, 459–467.
David, F. N. and Barton, D. E.Combinatorial chance. Griffin & Co., 1962.
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Bennett, B.M. Note on a rank test of cronholm and revusky. Psychometrika 32, 419–423 (1967). https://doi.org/10.1007/BF02289655
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DOI: https://doi.org/10.1007/BF02289655