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An Extension of Shapiro and Wilk's W Test for Normality to Large Samples
Author(s) -
Royston J. P.
Publication year - 1982
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2347973
Subject(s) - extension (predicate logic) , normality , normality test , mathematics , statistics , test (biology) , computer science , geology , statistical hypothesis testing , programming language , paleontology
S ummary 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.