© 1982 by Biometrika Trust
Two modified Wilcoxon tests for symmetry about an unknown location parameter
1Department of Statistics, University of California Davis, California, U. S. A.
2Department of Statistics, George Washington University Washington D. C., U. S.A.
3Department of Mathematics, University of Arizona Tucson, Arizona, U. S.A.
Two modifications of the Wilcoxon test for symmetry about the sample median are proposed and their large sample distribution theory derived. Their Pitman efficacies against contamination in the right tail are obtained. Both the asymptotic results and a Monte Carlo study show that the procedures are more powerful than the Wilcoxon test about the median against many asymmetric alternatives while preserving its robustness of level shown by Antille & Kersting (1977).
Key Words: Contamination Modified Wilcoxon test for symmetry about sample median Monte Carlo study Pitman efficacy Robustness of level