An improved ranked set two‐sample mann‐whitney‐wilcoxon test
Canadian Journal of Statistics2000Vol. 28(1), pp. 123–135
Citations Over TimeTop 22% of 2000 papers
Abstract
Abstract The authors present an improved ranked set two‐sample Mann‐Whitney‐Wilcoxon test for a location shift between samples from two distributions F and G. They define a function that measures the amount of information provided by each observation from the two samples, given the actual joint ranking of all the units in a set. This information function is used as a guide for improving the Pitman efficacy of the Mann‐Whitney‐Wilcoxon test. When the underlying distributions are symmetric, observations at their mode(s) must be quantified in order to gain efficiency. Analogous results are provided for asymmetric distributions.
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