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 → ∞ 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. Further, analysis of efficiencies for fixed n, k → ∞ indicates greater sensitivity for W-tests. Considering these results and certain other desirable properties of the W-tests, the latter are recommended for most applications.
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Walter R. Pirie (1974) studied this question.
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