Author/Authors :
Md Yusof، Zahayu نويسنده Kolej Sastera dan Sains, Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia , , Othman ، Abdul Rahman نويسنده School of Distance Education, Universiti Sains Malaysia, 11800 USM Pulau Pinang, Malaysia , , Syed Yahaya، Sharipah Soaad نويسنده UUM College of Arts and Sciences, Bangunan Sains Kuantitatif, Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia ,
Abstract :
Two robust procedures for testing the equality of central tendency measures, namely T1 and trimmed F (noted as Ft) statistics are proposed in this paper. The T1 and Ft statistics were modified using variable trimming with indeterminate percentage. The variable trimming percentages were based upon trimming criteria using robust scale estimators, MADn and Tn. Altogether there are four procedures investigated: T1 with MADn, T1 with Tn, Ft with MADn, and Ft with Tn. Concentrating on just balanced design and unequal population variances, the four procedures were tested for their Type I error under different types of distributional shapes and total sample sizes. This study used 5000 simulated data sets to generate the Type I error. Since T1 distribution is unknown, bootstrap method was employed to test the hypothesis. The findings showed that T1 statistic works well under normal tail distribution, while Ft statistic is good for extremely skewed distribution.
