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Type I error rates of t-test and T1 statistic under balanced and unbalanced designs


Md Yusof, Zahayu and Abdullah, Suhaida and Syed Yahaya, Sharipah Soaad (2010) Type I error rates of t-test and T1 statistic under balanced and unbalanced designs. In: Seminar Kebangsaan Sains Komputer dan Matematik (SKSKM 2010), 21 - 22 Disember 2010, Kota Kinabalu, Sabah. (Unpublished)

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Abstract

The t-test used prominently for comparing means between two groups is usually restricted with the assumptions of normality and variance homogeneity. However, the violation of the assumptions occurs in many real world data. In this study, two methods of comparing the means of two samples were conducted. The first method used the traditional t-test while the second method used the TI statistic for comparing means. The performances of the t-test and the TI statistic were evaluated under different conditions. They were sample sizes, type of distributions (normal or non-normal), and unequal group variances. The Type I error rates of the two test statistics were obtained and compared. Based on the investigations, the TI statistic was able to produce good Type I error rates with values near to the nominal level, a = 0.05.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Organized by Universiti Teknologi MARA Kampus Sabah
Uncontrolled Keywords: normality, homogeneity, Type I error
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Dr. Zahayu Md Yusof
Date Deposited: 20 Feb 2011 09:25
Last Modified: 04 Dec 2016 07:59
URI: http://repo.uum.edu.my/id/eprint/2216

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