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An Extension of Shapiro and Wilk's W Test for Normality to Large Samples

J. P. Royston

Journal of the Royal Statistical Society Series C, 1982, vol. 31, issue 2, 115-124

Abstract: Shapiro and Wilk's (1965) W statistic arguably provides the best omnibus test of normality, but is currently limited to sample sizes between 3 and 50. W is extended up to n = 2000 and an approximate normalizing transformation suitable for computer implementation is given. A novel application of W in transforming data to normality is suggested, using the three‐parameter lognormal as an example.

Date: 1982
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