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52 votes
5 answers
40k views

Normality of dependent variable = normality of residuals?

This issue seems to rear its ugly head all the time, and I'm trying to decapitate it for my own understanding of statistics (and sanity!). The assumptions of general linear models (t-test, ANOVA, ...
DeanP's user avatar
  • 901
62 votes
3 answers
249k views

ANOVA assumption normality/normal distribution of residuals

The Wikipedia page on ANOVA lists three assumptions, namely: Independence of cases – this is an assumption of the model that simplifies the statistical analysis. Normality – the distributions of the ...
Roman Luštrik's user avatar
158 votes
8 answers
308k views

Pearson's or Spearman's correlation with non-normal data

I get this question frequently enough in my statistics consulting work that I thought I'd post it here. I have an answer, which is posted below, but I was keen to hear what others have to say. ...
Jeromy Anglim's user avatar
383 votes
15 answers
156k views

Is normality testing 'essentially useless'?

A former colleague once argued to me as follows: We usually apply normality tests to the results of processes that, under the null, generate random variables that are only asymptotically or ...
shabbychef's user avatar
  • 15.1k