Dear Iurie,

I want to run Shapiro-Wilk test for each variable in my dataset, each
grouped by variable groupFactor.
Note that, at least on a single dependent variable with a grouping variable, a 
possible simplification may arise when homogeneity of variances is assumed and 
reasonable. You may want to do a single normality test on group-centered data :

shapiro.test(residuals(lm(data[,1]~groupFactor)))


HTH,

Yvonnick Noel
University of Brittany, Rennes 2
France

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