On 11/17/2009 10:07 AM, rkevinbur...@charter.net wrote:
This is probably an even more basic question but shapiro.test return both the 
statistic (w) and the significance (pw) of the statistic. For this test the 
null-hypothesis is that the distirbution is not normal so very small values of 
pw would mean that there is very little chance that the distiribution is not 
normal. Correct?

I think you have an extra "not" in your description of the null. But more importantly, a small p-value just means that you had a value of the test statistic that would be unusually extreme if the null was true.

Whether that means there is a small probability of the null being true depends on information outside the test. It's essentially a Bayesian question, and Bayesians wouldn't base their decision on just the p-value.

For example, if I flip a fair coin 100 times and see 30 heads, binom.test() tells me that the p value would be 7.85e-05. That doesn't mean the probability that the coin is fair is low: it just means I saw an unusually small number of heads.

Now if I wasn't sure whether the coin was fair or not, I'd take the low p-value as evidence that it was not. But the p-value alone isn't sufficient to let me calculate a probability of the null being true.

Duncan Murdoch

Thank you.

Kevin

---- Johannes Graumann <johannes_graum...@web.de> wrote:
Markus Mehrwald wrote:

> Hi all,
> > I am completely new to R and my knowledge of statistics is quite small
> so I hope you can help my.
> I have three dimensional point data which represents (and this is what I
> do not know for sure) a normal distribution. Now I want to test if this
> is true or not and as I can remember from statistics lessons I can use
> Chi-Square test for distribution test. BUT: I have realy no idea how to
> do this with R and additionally if my assumptions are correct and if
> this is possible with R at all.
> > Thank you very much in advance for any answer.
> Markus

See
?shapiro.test
or
?ks.test

HTH, Joh

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