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The Exact Distribution of the Anderson-Kannemann Statistic
Authors:H. Kü  chenhoff,W. Lehmacher
Abstract:The Anderson-Kannemann test is a rank test for treatment effects in a randomized block design with K treatments and N blocks. In this paper, an algorithm for computing the exact distribution of the Anderson-Kannemann test statistic under the null hypothesis is deduced. Then, the exact distribution is compared with the asymptotic χ2-distribution, and it is shown that the exact distribution is approximated fairly well by the asymptotic distribution. Tables of the exact distribution are given for K = 3, N = 3(1)15; K = 4, N = 3(1)11; K = 5, N = 3(1)7; and K = 6, N = 3(1)5.
Keywords:Anderson-Kannemann test  exact distribution  randomized block design  rank test  N ranking method
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