Lothar Sachs (1984, Applied Statistics (a book, not the journal),
Section 4.3.3, p. 322-329) says that a rule of thumb for testing
normality is to divide the median by the mean, and if the ratio is
between 0.9 and 1.1, the distribution is approximately normally
distributed.  This is actually a measure of the skewness.

He continues to present a test for normality based on the range
divided by the standard deviation developed by Pearson and Stephens
(Biometrika, v. 51, 1964, p. 484-487).  As he notes, this is actually
a test of the homogeneity of the variances.

Does anyone know of a formal test for normality employing the mean and
median, i.e. the central tendency instead of the dispersion?

Thanks.

Bob

251026473393872
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