A Robust Alternative to the t - Test

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 sub( t) and S sub( 1) tests statistics can be used. This study proposed the use o...

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Veröffentlicht in:Modern applied science 2012-05, Vol.6 (5), p.27-27
Hauptverfasser: Md Yusof, Zahayu, Abdullah, Suhaida, Syed Yahaya, Sharipah Soaad, Othman, Abdul Rahman
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Sprache:eng
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Zusammenfassung: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 sub( t) and S sub( 1) 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 sub( t) test and median as the central tendency measure in S sub( 1) test when comparing the equality of two groups. The performance of the S sub( 1) test with MAD sub( n) was able to give the most convincing result than the other methods. The F sub( t) with MAD sub( 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.
ISSN:1913-1844
1913-1852
DOI:10.5539/mas.v6n5p27