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Biometrika 1983 70(2):510-513; doi:10.1093/biomet/70.2.510
© 1983 by Biometrika Trust
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MISCELLANEA

A modified Wilcoxon rank sum test for paired data

F. C. LAM and M. T. LONGNECKER

Institute of Statistics, Texas A&M University College Station, Texas, U.S.A.

A function of the Wilcoxon rank sum statistic is proposed for testing the equality of the marginal distributions when sampling from a bivariate population. The test statistic is asymptotically nonparametric. A comparison is made between the test statistic and several parametric and nonparametric tests in terms of their Pitman relative efficiency and small-sample performance. The test statistic has power comparable to the paired t test when sampling from the bivariate normal distribution and greater power in several important cases.

Key Words: Distribution-free statistic • Paired data • Two-sample location problem


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