Obustness of Some Procedures for the Two-Sample Location Problem
- 1 September 1964
- journal article
- research article
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 59 (307) , 665-680
- https://doi.org/10.1080/01621459.1964.10480721
Abstract
The level of ordinary two-sample procedures is not preserved if the two populations differ in dispersion or shape. The effect of such differences, especially differences in dispersion, on the t, median, Mann-Whitney, and normal scores procedures is investigated asymptotically, and tables are given comparing the four procedures.Keywords
This publication has 11 references indexed in Scilit:
- Bibliography of Nonparametric StatisticsPublished by Harvard University Press ,1962
- Asymptotic Normality and Efficiency of Certain Nonparametric Test StatisticsThe Annals of Mathematical Statistics, 1958
- Bounds for the Variance of the Mann-Whitney StatisticThe Annals of Mathematical Statistics, 1957
- Ein neuer Test für das Problem der zwei StichprobenMathematische Annalen, 1953
- Some Rank Order Tests which are most Powerful Against Specific Parametric AlternativesThe Annals of Mathematical Statistics, 1952
- Consistency and Unbiasedness of Certain Nonparametric TestsThe Annals of Mathematical Statistics, 1951
- On the Consistency and the Power of Wilcoxon’s two Sample TestIndagationes Mathematicae, 1951
- On a Test of Whether one of Two Random Variables is Stochastically Larger than the OtherThe Annals of Mathematical Statistics, 1947
- The Significance of Difference Between Means Without Reference to the Frequency Distribution FunctionPsychometrika, 1946
- Individual Comparisons by Ranking MethodsBiometrics Bulletin, 1945