[R] How to run Shapiro-Wilk test for each grouped
Thomas Lumley
tlumley at u.washington.edu
Tue Apr 13 17:17:00 CEST 2010
On Tue, 13 Apr 2010, Yvonnick Noel wrote:
> Iurie,
>> Noel, thanks a lot. This will help me someday. But I have a question.
>> When we run Shapiro-Wilk test, the homogenity of variances is a
>> mandatory condition?
>>
> No it is not. An homoscedasticity test only makes sense when you have a
> grouping factor, and a normality test may of course be used in a variety of
> contexts when you have a unique sample.
>
> My point was: If you use gaussian models and assume homogeneity of
> within-group variances, then testing normality is somewhat simplified, since
> your model residuals are expected to be drawn from a unique normal
> distribution, and only one normality test on the residuals is necessary (no
> need for a loop).
>
Or, as some of us would say, *no* normality test on the residuals is necessary, which is even simpler.
-thomas
Thomas Lumley Assoc. Professor, Biostatistics
tlumley at u.washington.edu University of Washington, Seattle
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