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THE SHAPIRO-WILK AND RELATED TESTS FOR NORMALITY
math.mit.edun are actually i.i.d. with some normal distribution and n is fairly large, then S and K′should be close to 0. A statistic for testing normality called the Jarque–Berastatisticis JB := n 6 S2 + 1 4 K′2 . As n becomes large, if normality holds, the distribution of JB converges to a χ2 distribution with 2 degrees of freedom. The test was ...