[R] Interpretation of Shapiro-Wilk

Clive Jenkins clive.jenkins at clara.net
Mon Sep 25 08:00:06 CEST 2000

Can anybody tell me the exact meaning of the $statistic and $p.value
calculated by shapiro.test? Unfortunately it is not covered in my few
text books, and I cannot find the explanation in the R documentatiom or

If I have a test statistic, T, which is Normally distributed with mean=m
and sd=s under the null hypothesis, then I can convert T to a p-value
(one-sided) using:

p <- pnorm(T, mean=m, sd=s)

If the distribution of T deviates from Normality, how can I modify the
above expression using the results of shapiro.test?

Clive Jenkins

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