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Asymptotic Relative Efficiencies of the Rank-Transformation Procedure in Randomized Complete Block Designs

随机完全区组设计中秩变换程序的渐近相对效率

This article provides insight into the powers of alternative tests for experimental effects in the presence of a blocking factor. Three rank tests and the usual F test are compared using asymptotic relative efficiencies (ARE's). Rank tests provide a useful alternative method of analysis when the assumptions of the F test are not met. Further, rank tests are usually more powerful than the F test when outliers are present or when the distribution of the data possesses heavy…

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Comparison of Asymptotically Distribution-Free Procedures for the Analysis of Complete Blocks

完全区组分析中渐近分布无关方法的比较

The Friedman test (or sign test when k = 2) depends entirely on within-block rankings. In a recent paper, Quade (1979) attempted to provide a test with more power than the Friedman test by considering a k-sample extension of the Wilcoxon signed ranks test. This is done by taking advantage of the between-block information. A third way to approach the problem and still retain both the within- and between-block information is first to transform all the observations to ranks…

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