Note on the rank sum test of wilcoxon under trend alternatives

Summary

The Wilcoxon statisticW ⁺ [3], [4] is well known as a test of the hypothesisH ₀ of equality of bivariate means based onn pairs of observations (x, y). In this paper the distribution and limiting distribution ofW ⁺ are derived under the assumption of ‘logit’ alternativesH ₀ of a trend in the probabilities associated with then successive paired differencesz _i =x _i −y _i (1=1,...,n).