Premium
An improved ranked set two‐sample mann‐whitney‐wilcoxon test
Author(s) -
Öztürk Ömer,
Wolfe Douglas A.
Publication year - 2000
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314843
Subject(s) - wilcoxon signed rank test , mann–whitney u test , mathematics , ranking (information retrieval) , statistics , sample (material) , set (abstract data type) , function (biology) , artificial intelligence , computer science , chemistry , chromatography , evolutionary biology , biology , programming language
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.