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Bounds for the variance of Mann-Whitney statistic

✍ Scribed by J. S. Rustagi


Book ID
105636567
Publisher
Springer Japan
Year
1961
Tongue
English
Weight
253 KB
Volume
13
Category
Article
ISSN
0020-3157

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πŸ“œ SIMILAR VOLUMES


On an Unbiased Variance Estimator for th
✍ Dr. R. Hilgers πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 320 KB πŸ‘ 2 views

## Abstract For some applications of the WILCOXON‐MANN‐WHITNEY‐statistic its variance has to be estimated. So e.g. for the test of POTTHOFF (1963) to detect differences in medians of two symmetric distributions as well as for the computation of approximate, confidence bounds for the probability __P

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## Abstract For the case of the LEHMANN alternatives the paper presents some new facts on the MANN‐WHITNEY statistic and, in particular, its variance __V(p, m, n)__, where __p = P(x__~__i__~<__y__~i~). Explicit formulas for __U__ and __V__ are used to prove, among other things, the following propos

An Algorithm for the Mann-Whitney U-Test
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Where variance is largest for Mann and W
✍ Michael D.deB. Edwardes πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 194 KB

This note is the proof of an important result for the application of random cut-points theory to the Mann-Whitney U test statistic, related directly to the Wilcoxon rank-sum statistic, used when data consist of frequencies in, for example, a 2 Γ— k contingency table where the columns correspond to k