I am having a hard time interpreting the results of the 'shapiro.test' for
normality. If I do ?shapiro.test I see two examples using rnorm and runif. When
I run the test using rnorm I get a wide variation of results. Most of this may
be from variability of rnorm, samll sample size (limited to 5000 for the test),
etc but if I repeat the test multiple times I can get:
> shapiro.test(rnorm(4900, mean = 5, sd = 3))
Shapiro-Wilk normality test
data: rnorm(4900, mean = 5, sd = 3)
W = 0.9994, p-value = 0.09123
With a p-value of 0.09 it doesn't give me alot of confidence that either rnorm
is producing a normal distirbution of this test is very reliable. Obivously
this test has gained wide acceptance so I was wondering if I am expecting too
much? Is there a "better" test?
Thanks for sharing your experience and your recomendations.
Kevin
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