Summary
When testing differences of treatment effects in randomized blocks with two treatments, one often applies a rank test of symmetry on the differences between the observations in each block. In this paper we propose an extension of this technique to more than two treatments and give some asymptotic properties of the proposed test statistics.
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References
Anderson, R.L.: Use of contingency tables in the analysis of consumer preference studies. Biometrics15, 1959, 582–590.
Bahadur, R.R.: Stochastic comparison of tests. Ann. Math. Statist.31, 1960, 276–295.
Friedman, M.: The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journ. Am. Statist. Assoc.32, 1937, 673–701.
Hajek, J., andS. Sidak: Theory of Rank Tests. New York 1967.
Kannemann, K.: An incidence test fork related samples. Biom. Zeitschrift18, 1976, 3–11.
Page, E.B.: Ordered hypothesis for multiple treatments: A significance test for linear ranks. Journ. Am. Statist. Assoc.58, 1967, 216–230.
Schach, S.: An alternative to the Friedman test with certain optimality properties. Ann. Statist.7, 1979, 536–550.
Teichroew, D.: Tables of lower moments of order statistics for samples from the normal distribution. Contributions to order statistics. Ed. by Sarhan and Greenberg. New York 1962.
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Rothe, G. Block rank statistics. Metrika 30, 73–83 (1983). https://doi.org/10.1007/BF02056903
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DOI: https://doi.org/10.1007/BF02056903