Robustness and Power of the Kornbrot Rank Difference, Signed Ranks, and Dependent Samples T-test

Norman N. Haidous^1, and Shlomo S. Sawilowsky¹

¹Department of Evaluation and Research, Wayne State University, Detroit, USA

Cite this paper:
Norman N. Haidous and Shlomo S. Sawilowsky. Robustness and Power of the Kornbrot Rank Difference, Signed Ranks, and Dependent Samples T-test. American Journal of Applied Mathematics and Statistics. 2013; 1(5):99-102. doi: 10.12691/ajams-1-5-4

Abstract

The purpose of the study was to compare the power and accuracy of the Kornbrot rank difference test to classical parametric and nonparametric alternatives when the assumption of normality is not met, the data are ordinal, and the sample size is small. Although the procedure is robust, there was no evidence the rank difference test had power advantages over Wilcoxon Signed-Ranks test.

Keywords:
nonparametric statistics power rank tests Monte Carlo simulations

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