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Comparative performance of pseudo-median procedure, Welch’s test and Mann-Whitney-Wilcoxon at specific pairing


Ahad, Nor Aishah and Othman, Abdul Rahman and Syed Yahaya, Sharipah Soaad (2011) Comparative performance of pseudo-median procedure, Welch’s test and Mann-Whitney-Wilcoxon at specific pairing. Modern Applied Science, 5 (5). pp. 131-139. ISSN 1913-1844

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Abstract

The objective of this study is to investigate the performance of two-sample pseudo-median based procedure in testing differences between groups.The procedure is the modification of one-sample Wilcoxon procedure using pseudo-median of differences between group values as the central measure of location.The test was conducted on two groups setting with moderate sample sizes of symmetric and asymmetric distributions.The performance of the procedure was measured and evaluated in terms of Type I error and power rates obtained via Monte Carlo methods.Type I error and power rates of the procedure were then compared with the alternative parametric and nonparametric procedures namely the Welch's test and Mann-Whitney-Wilcoxon test.The findings revealed that the pseudo-median procedure is eapable in controlling its Type I error close to the nominal level when heterogeneity of variances exists.In terms of robustness, the pseudo-median procedure outperforms the Welch's and Mann Whitney Wilcoxon tests when distributions are skewed.The pseudo-median procedure is also capable in maintaining high power rates especially for negative pairing.

Item Type: Article
Uncontrolled Keywords: Mann-whitmy-wilcoxon, Power, Pseudo-median, Type I error, Welch's test
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Mrs. Nor Aishah Ahad
Date Deposited: 22 May 2013 09:53
Last Modified: 04 Dec 2016 07:58
URI: http://repo.uum.edu.my/id/eprint/7431

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