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I have a data set that I have transformed by sq root and log10 transformations and the data set does still not follow a normal distribution, and the ANOVA standardized residuals are still not following a normal distribution by Shapiro -wilks and other tests. Any suggestions what to do to normalize this ? Accept the result and note this in the results section ?
Have you tried considering the removal of outliers (if this is justified, of course)?
How many observations do you have? Sometimes when you have too many, normality tests become way too powerful, and a graphical verification of the assumption (QQ plot) can be enough, without a confirmation using the normality test.
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