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A Suggestion for Using Powerful and Informative Tests of Normality

Ralph B. D'Agostino, Albert Belanger and Ralph B. D'Agostino, Jr.
The American Statistician
Vol. 44, No. 4 (Nov., 1990), pp. 316-321
DOI: 10.2307/2684359
Stable URL: http://www.jstor.org/stable/2684359
Page Count: 6
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A Suggestion for Using Powerful and Informative Tests of Normality
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Abstract

For testing that an underlying population is normally distributed the skewness and kurtosis statistics, $\sqrt{b_1}$ and b2, and the D'Agostino-Pearson K2 statistic that combines these two statistics have been shown to be powerful and informative tests. Their use, however, has not been as prevalent as their usefulness. We review these tests and show how readily available and popular statistical software can be used to implement them. Their relationship to deviations from linearity in normal probability plotting is also presented.

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