Confidence intervals for an effect size measure based on the Mann-Whitney statistic. Part 2: asymptotic methods and evaluation.
Several asymptotic confidence interval methods for U/mn, the Mann-Whitney U statistic divided by the product of the two sample sizes, are developed and evaluated alongside published methods. Novel methods derived from Gaussian and beta models perform well, though overall a modification of the Hanley-McNeil approach (method 5 in this evaluation) performed better and is recommended for calculating confidence intervals for U/mn for continuously distributed data.
Newcombe
Robert G
RG
Department of Epidemiology, Statistics and Public Health, Wales College of Medicine, Cardiff University, Heath Park, Cardiff CF14 4XN, UK. newcombe@cf.ac.uk
D016001:Confidence Intervals; D003627:Data Interpretation, Statistical; D006801:Humans; D018401:Sample Size; D018709:Statistics, Nonparametric