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Testing the equality of central tendency measures using various trimming strategies


Md Yusof, Zahayu and Abdullah, Suhaida and Syed Yahaya, Sharipah Soaad and Othman, Abdul Rahman (2011) Testing the equality of central tendency measures using various trimming strategies. African Journal of Mathematics and Computer Science Research, 4 (1). pp. 32-38. ISSN 2006-9731

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Abstract

Ft statistic test is a non classical method of comparing two or more groups.This statistical procedure is able to handle problems of sample locations when non-normality occurs but the homogeneity of variances assumption still applies.This method is not robust under the existence of variance heterogeneity.To make this test less sensitive when either one or both of the common assumptions are violated, in this study the test is modified and improved by replacing the test’s original central tendency measure that is, the fixed symmetric trimmed mean with a predetermined asymmetric trimmed mean and a modified one-step M-estimator (MOM) trimmed mean.The finding shows that when the data is suspected to be extremely skewed, then, it will be advantageous to adopt MOM procedures for homogeneous variance cases.On the other hand, for heterogeneous variances, a trimmed mean which uses predetermined asymmetric trimmed mean should be considered as an alternative, particularly for testing the equality of four groups.

Item Type: Article
Uncontrolled Keywords: Heterogeneity, asymmetric, trimmed mean, MOM, robustness.
Subjects: Q Science > QA Mathematics > QA76 Computer software
Divisions: College of Arts and Sciences
Depositing User: Dr. Zahayu Md Yusof
Date Deposited: 26 Feb 2012 09:00
Last Modified: 04 Dec 2016 08:09
URI: http://repo.uum.edu.my/id/eprint/5151

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