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随机区组设计中有序备择下的秩检验比较AI 解读

Two classes of rank tests are considered for ordered alternatives in a randomized block design with $k$ treatments and $n$ blocks: tests based on among-blocks rankings ($A$-tests) and tests based on within-blocks rankings ($W$-tests). Previous efficiency comparisons for fixed $k, n \rightarrow \infty$ under the normal distribution have indicated that $A$-tests are more sensitive. In the present paper it is shown that this behavior is not typical under other distributions.…

随机区组设计中针对有序备择的无分布正态分数检验AI 解读

We introduce a normal scores test for ordered alternatives among k treatments in the randomized block design. For k = 2 or 3, the test is equivalent to a standard test due to Page [5]. For k ≥ 4, the test differs from Page's and is often more efficient. As k→ ∞, the Pitman asymptotic relative efficiency of the normal scores test compared to Page's test tends to ∞ for uniform and exponential populations. For normal, uniform and exponential populations, this efficiency exceeds…