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Many statistical methods assume data or a model's residuals are normally distributed. Use this tag for questions about the assumption & testing of normality, or about normality as a *property*. Use [normal-distribution] for questions about the normal distribution per se.

2 votes

Pair t-test or Welch's t-test on a non-normal data series?

I would use the Mann-Whitney U test, which is quite robust and reasonably powerful. Otherwise you can first check for normality (eg with the Shapiro-Wilks test) and then use the t test if the hypothes …
Giuseppe Biondi-Zoccai's user avatar
1 vote

Statistical tests for uneven groups

A simple yet robust approach could be to compute the difference between medians and then compute 95% confidence interval of such statistic with bootstrap (percentile). Such confidence interval would b …
Giuseppe Biondi-Zoccai's user avatar
0 votes

ANOVA and Kruskal-Wallis Test in One Study

Yes, it is acceptable. It depends though on your sample size (if very large then you could have violations of normality assumptions which are not crucial, and the central limit theorem also applies). …
Giuseppe Biondi-Zoccai's user avatar