What hypotheses do “nonparametric” two-group tests actually test?
Ronán M. Conroy
Royal College of Surgeons in Ireland
Dublin, Ireland
[email protected]
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Abstract. In this article, I discuss measures of effect size for two-group comparisons
where data are not appropriately analyzed by least-squares methods. The
Mann–Whitney test calculates a statistic that is a very useful measure of effect
size, particularly suited to situations in which differences are measured on scales
that either are ordinal or use arbitrary scale units. Both the difference in medians
and the median difference between groups are also useful measures of effect size.
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Ronán M. Conroy
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ranksum, Wilcoxon rank-sum test, Mann–Whitney statistic, Hodges–Lehman median shift, effect size, qreg
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