The Shapiro-Wilk Wand Shapiro-Francia W' statistics are convenient and powerful tests of departure from normality. Modifications are described to allow the use of Wand W' with grouped and with singly censored data, and of W with log-normally distributed data. Methods are given to enable the P value of each test to be calculated under these different circumstances. It is hoped that software developers will thereby be encouraged to incorporate one or other of the tests in their statistical products.
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Patrick Royston (1993) studied this question.
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