On the variance estimate of a wilcoxon-mann whitney statistic for group ordered data
- 1 January 1981
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 10 (17) , 1719-1732
- https://doi.org/10.1080/03610928108828144
Abstract
Two consistent estimators for the non-null variance of Wil-coxon-Mann-Whitney’s statistic applied to grouped ordered data, are considered. The first is based on U-statistics and the sec-ond is obtained by the Delta method. Some examples are given to demonstrate the extent of error when using a null variance esti-mate for constructing confidence intervals. It appears that the two consistent estimates are very close, but may both be disting-uishably larger or smaller than the null variance estimate.Keywords
This publication has 13 references indexed in Scilit:
- A program for the analysis for compounded functions of categorical dataComputer Programs in Biomedicine, 1974
- The asymptotic efficiency of the kruskal-wallis test and the median test in contingency tables with ordered categoriesCommunications in Statistics, 1974
- Rank Tests for One Sample, Two Samples, and $k$ samples Without the Assumption of a Continuous Distribution FunctionThe Annals of Statistics, 1973
- Distribution-free confidence bounds forP(X<Y)Annals of the Institute of Statistical Mathematics, 1968
- Asymptotically Most Powerful Rank Order Tests for Grouped DataThe Annals of Mathematical Statistics, 1967
- Measures of Association for Cross Classifications III: Approximate Sampling TheoryJournal of the American Statistical Association, 1963
- A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES. IIBiometrika, 1959
- How to Use Ridit AnalysisPublished by JSTOR ,1958
- Tests for Linear Trends in Proportions and FrequenciesPublished by JSTOR ,1955
- Note on Wilcoxon's Two-Sample Test when Ties are PresentThe Annals of Mathematical Statistics, 1952