Estimating departure from normality
- 1 August 1991
- journal article
- research article
- Published by Wiley in Statistics in Medicine
- Vol. 10 (8) , 1283-1293
- https://doi.org/10.1002/sim.4780100811
Abstract
Departure of a sample from a normal distribution should be assessed by a quantity that is meaningful in terms of the data, rather than merely by the P-value from a test statistic. Indices of departure based on the Shapiro-Francia W′ and the Shapiro-Wilk W statistics are derived, and shown to have a natural interpretation in relation to the normal probability plot. A new diagnostic plot is proposed. An example is given which shows the relationship between one of the new indices and errors in calculated reference ranges due to non-normality of the data.Keywords
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