Teh, Sin Yin and Md Yusof, Zahayu and Yaacob, Che Rohani and Othman, Abdul Rahman (2010) Performance of the traditional pooled variance t-test against the bootstrap procedure of difference between sample means. Malaysian Journal of Mathematical Sciences, 4 (1). pp. 85-94. ISSN 1823-8343

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Abstract

In this study, two methods of comparing the means of two samples were conducted.The first method used the traditional pooled variance t-test while the second method used the bootstrap method of comparing means.In the second method, pseudo sampling distributions were generated for the normal and non-normal distributions.For the non-normal we used the 23χ and a g=.5, h=.5 distribution. Group sizes {5, 15} and {15, 25} with equal and unequal variances were generated and for each method Type I error rates were evaluated.We found that about 20% and 33% of the study conditions using the pooled variance t-test were robust when group sizes are {5, 15} and {15, 25}, respectively.Whereas, about 33% and 47% of the study conditions in bootstrapped procedure were robust when group sizes are {5, 15} and {15, 25}, respectively.

Item Type:	Article
Uncontrolled Keywords:	t-test, Monte Carlo, bootstrap, Type I error
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Zahayu Md Yusof
Date Deposited:	14 Nov 2016 04:07
Last Modified:	14 Nov 2016 04:07
URI:	https://repo.uum.edu.my/id/eprint/19401

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