Md Yusof, Zahayu and Abdullah, Suhaida and Syed Yahaya, Sharipah Soaad (2012) Testing on the Difference of Student’s Performance using Robust Methods. World Applied Sciences Journal 17 (Special Issue of Applied Math), 17. pp. 66-71. ISSN 1818-4952

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Abstract

ANOVA is known to be adversely affected by non-normality and unbalanced design. Type I error and power rates are substantially affected when these problems occur simultaneously. Continuously using ANOVA under the influence of these problems eventually will result in unreliable findings. This study proposed a robust procedure known as modified S1 and Ft methods. This procedure combines the S1 and Ft statistics with a popular robust scale estimator, MADn. A simulation study was conducted to compare the robustness (Type I error) of the method with respect to its counterpart from the parametric and non parametric aspects namely ANOVA and Kruskal Wallis respectively. Since the null distribution of S1 is intractable, bootstrap methods were used to give better approximation. The Ft used the approximation method. The findings were in favor of the S1 and Ft methods especially when the data were skewed. The performance of the methods was further demonstrated on real education data

Item Type:	Article
Uncontrolled Keywords:	Robust statistics • type i error • robust scale estimators • skewed distributions
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mdm. Sarkina Mat Saad @ Shaari
Date Deposited:	04 Jul 2024 01:32
Last Modified:	04 Jul 2024 01:32
URI:	https://repo.uum.edu.my/id/eprint/30955

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