Abstract
Asymptotic noncentral x2-distributions of aligned rank test statistics, Friedmantype statistics and the F-test statistic under a contiguous sequence of alternatives having both translated locations and contaminated distributions are obtained as the number of blocks tends to infinity in a randomized blocks design with one observation per cell. When a distribution of a null hypothesis is normal, it is shown that the asymptotic relative efficiency of the aligned rank test with respect to the likelihood ratio F-test under the sequence of these alternatives is one in the case of normal scores and is nearly equal to one in the case of Wilcoxon scores and that, as numerical results, the asymptotic powers of the aligned rank tests are superior to those of the Friedman-type tests. Further it is found that the values of the asymptotic relative efficiencies of the aligned rank tests with respect to the F-test and the Friedman-type tests under the alternatives are not much different from the values under location alternatives in investigated cases.
