Abdullah, Suhaida and Syed Yahaya, Sharipah Soaad and Md Yusof, Zahayu (2017) The Robust Test Statistic in Comparing Two Independent Groups using Trimming and Winsorization. International Journal of Basic & Applied Sciences, 17 (6). pp. 1-6. ISSN 2077-1223

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Abstract

The classical independent t-test is often in jeopardy when the assumptions of normality or homogeneity of variances being violated. The test performs worsen when these violations occur simultaneously. Alexander-Govern test offers the alternative solution to the classical t-test when dealing with heterogeneous variances conditions. However, it produces good control of Type I error rates only if the data are normally distributed, which is a known fact that normality is hardly achieved in real life situation. As a remedy, in this study, we modify the Alexander-Govern test using trimmed mean and Winsorized mean as the location measures. Generally, the modified test using trimmed mean performs better compared to the original test in terms of Type I error rates. However, the test using Winsorized mean failed to control the Type I error rate well under most condition considered

Item Type:	Article
Uncontrolled Keywords:	T-test; Alexander-Govern test; trimmed mean; Winsorized mean
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mdm. Sarkina Mat Saad @ Shaari
Date Deposited:	04 Jul 2024 01:37
Last Modified:	04 Jul 2024 01:37
URI:	https://repo.uum.edu.my/id/eprint/30956

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