Abstract

t-test is a classical test statistics for testing the equality of two groups. However, this test is very sensitive to non-normality as well as variance heterogeneity. To overcome these problems, robust method such as F_t and S₁ tests statistics can be used. This study proposed the use of a robust estimator that is trimmed mean as the central tendency measure in F_t test and median as the central tendency measure in S₁ test when comparing the equality of two groups. The performance of the S₁ test with MAD_n was able to give the most convincing result than the other methods. The F_t with MAD_n showed comparable results with the conventional methods. This study has shown some improvement in the statistical solution of detecting differences between location parameters. These modified methods may serve as alternatives to some other robust statistical methods which are unable to handle either the problem of non-normality, variance heterogeneity or unbalanced design.

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