Ernesto Jardim wrote:

Hi

The shapiro.test function outputs a value of the W statistic, which
should be 1 if the distribution is normal, and a p-value for the test
(as the documentation states).

I'm a bit confused with some results. I'm getting a W=0.9977 and a
p-value=0.1889.

I was expecting that a W of 0.9977 would tell me that the distribution
is normal so p-value should be small ...

What am I missing ?

Thanks

EJ

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You have it backwards. The null hypothesis is that the distribution is Normal. You reject this null when the p-value is small. If the distribution is Normal, the p-value will tend to be large.

> shapiro.test(rnorm(100))

Shapiro-Wilk normality test

data: rnorm(100)
W = 0.9877, p-value = 0.4894


Rick B.

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