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How we change what others think, feel, believe and do
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How we change what others think, feel, believe and do |
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Shapiro-Wilk test
Explanations > Social Research > Analysis > Shapiro-Wilk test Description | Discussion | See also
DescriptionThe Shapiro-Wilk test compares a set of measures against the Normal distribution. The test statistic is calculated as: W = (SUM(aixi))2 / SUM(xi - x-bar) where: ai is a constant based on the If W is not small, then a Normal distribution may be concluded. DiscussionShapiro-Wilk may be used before Parametric tests, to ensure the data being used has a Normal distribution. Shapiro-Wilk is an improvement on the more general Kolmogorov-Smirnov curve-fitting algorithm. See alsoShapiro, S. S. and Wilk, M. B. (1965). "An analysis of variance test for normality (complete samples)", Biometrika, 52, 3 and 4, pages 591-611.
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