Re: The search of no-normality



Kevin E. Thorpe wrote:
Herman Rubin wrote:
In article <e7oi0m$kch$1@xxxxxxxxxxxxxxxx>,
Jeremy Miles <jnvm1@xxxxxxxxxx> wrote:
"Luis A. Afonso" wrote:
Against the obsessive persecutors of no-normality
Suppose that the K-S test fails to reject H0 at the 5% level (the
Distribution is normal).

No. We conclude that we do not have evidence to reject the null
hypothesis that the distribution was drawn from a population with a
normal distribution. Subtly different, but it's important.
e.g. x = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10).
K-S test p-value is 1.00. So you think that's a normal distribution?
You must have done something wrong. The K-S test p-value
is almost never 1; it may be close, but I do not think that
this sample is that close.

I got p = 0.9999 when I compared that sample to
a normal with mean 5.5 and sd of 3.027650
(the sample mean and sd).


SPSS gives p = .999989 for an asymptotic test, and p = .999858 for an exact test (both 2-tailed).

--
Bruce Weaver
bweaver@xxxxxxxxxxxx
www.angelfire.com/wv/bwhomedir
.



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