The Anderson-Darling Test and the Shapiro-Wilk test have considerably more 
power.

I'd refer you to a non-R related discussion board for statistics related 
questions.  Perhaps the following might be more useful:

http://stats.stackexchange.com/questions/8184/most-powerful-gof-test-for-normality

Sincerely yours,

Mark J. Lamias





________________________________
 From: Rolf Turner <rolf.tur...@xtra.co.nz>
To: Herschtal Alan <alan.hersch...@petermac.org> 
Cc: r-help@r-project.org 
Sent: Thursday, November 8, 2012 10:16 PM
Subject: Re: [R] Looking for a test of standard normality


Others may correct me, but I cannot imagine any test of standard normality
giving appreciably more power than is given by the Kolmogorov-Smirnov
test.

I also wonder about the point of testing for (standard) normality in the
first place.  There is a quote --- I think it refers to testing for 
heteroscedasticity,
but I believe it applies equally to testing for normality  --- about such 
testing
being analogous to going out of the harbour in a rowing dinghy to see if it's
safe for an ocean liner to put to sea.

    cheers,

        Rolf Turner

On 09/11/12 13:23, Herschtal Alan wrote:
> Dear list members,
> 
> I am looking for a goodness of test that will tell me if a sample is
> likely to have come from a standard normal distribution. I can find
> plenty of omnibus tests for normality in the nor.test package, but none
> of them appear to allow me to test against the specific alternative that
> the data are not standard normal. My back up option is to use a
> Kolmogorov-Smirnov test, but my impression is that that is not a very
> powerful test. Any suggestions?

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