Robert:
"even when N=20, a uniform distribution can be treated as
>normal for most purposes."
I assume you meant to say that for N=20, the sample mean based on a random
sample from a uniform distribution can be assumed to have a normal
distribution
for most purposes.
Right?
Jon Cryer
At 01:16 PM 9/20/01 -0300, you wrote:
>
>
>JHWB wrote:
>>
>> Hm, hope I didn't make that subject to complex, resulting in zero replies.
>> But hopefully you can answer this:
>>
>>snip
>
> The gotcha is that while these may be roughly equivalent questions for
>(say) N=20, for N small deviations from normality are important and the
>test is poor at detecting them; for N large, deviations from normality
>do not matter very much but the test is hypersensitive.
>
> For instance: even when N=20, a uniform distribution can be treated as
>normal for most purposes. However, it will generally fail the
>Ryan-Joiner test at a 5% level!
>
> -Robert Dawson
>
>
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