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New Procedure in Testing Differences between Two Groups |
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PP: 397-401 |
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Author(s) |
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Nor Aishah Ahad,
Abdul Rahman Othman,
Sharipah Soaad Syed Yahaya,
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Abstract |
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| Despite the theoretical correctness of the t-test in testing differences between two groups and the existence of the
nonparametric backup, i.e. Mann-Whitney-Wilcoxon test, these test fail to simultaneously control Type I error and maintain adequate
power under certain condition. This study intends to alleviate this problem by applying the pseudo-median as the location measure of
interest into the one-sample nonparametric Wilcoxon procedure in a two group setting. Pseudo-median is the median of all possible
differences of observations from the two groups. Since the sampling distribution of this procedure is intractable, the bootstrap method
was used to achieve the significance level. The finding shows that the new procedure has the ability to control Type I error rates and
maintaining high power rates regardless of distributional shape whether symmetrical or asymmetrical. The performance of the new
procedure is compatible to t-test and Mann-Whitney-Wilcoxon test. |
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