An Asymptotic Acceptance of Aligned Rank Tests Under Alternatives of Contaminated Distributions in a Randomized-Blocks Design
研究了在随机区组设计中，当区组数趋于无穷时，对齐秩检验统计量在污染分布备择假设序列下的渐近非中心卡方分布，并比较了其与似然比F检验的相对效率。
Abstract Asymptotic noncentral X 2 distributions of aligned rank test statistics under a contiguous sequence of alternatives of contaminated distributions are obtained as the number of blocks tends to infinity in a randomized-blocks design with one observation per cell. I show 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 linear scores when a distribution of a null hypothesis is normal. As numerical results, the asymptotic powers of the aligned rank tests are superior to those of the Friedman-type tests and the Anderson test.