Testing the differences of students’ scores between two groups

Normality and homogeneity are two assumptions that need to be fulfilled when dealing with t-test.However, these ideal conditions are rarely achieved in real world.Thus, this study proposed a robust technique that can deal with the non-normal data and variance heterogeneity.The p-value of T1 statist...

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Bibliographic Details
Main Authors: Md Yusof, Zahayu, Abdullah, Suhaida, Syed Yahaya, Sharipah Soaad
Format: Article
Language:en
Published: AENSI Publications 2012
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/9385/1/4.pdf
https://repo.uum.edu.my/id/eprint/9385/
http://www.aensiweb.com/jasr.html
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Summary:Normality and homogeneity are two assumptions that need to be fulfilled when dealing with t-test.However, these ideal conditions are rarely achieved in real world.Thus, this study proposed a robust technique that can deal with the non-normal data and variance heterogeneity.The p-value of T1 statistic that is combined with one of the popular robust scale estimators,MADn,Tn and LMSn was investigated.A simulation study was conducted to compare the robustness (Type I error) of the method with respect to its counterpart from the perspective of parametric and non parametric, i.e, the t-test and Mann-Whitney respectively. The performances of the method are demonstrated on real data on education.The findings show the favor of T1 method, especially for skewed data.