Dear Mika,

To use the ANOVA test we made the following assumptions:

*Each group sample is drawn from a normally distributed population

*All populations have a common variance

*All samples are drawn independently of each other

*Within each sample, the observations are sampled randomly and independently of each other

*Factor effects are additive

For more explanations please check the following links:

Regards,

http://www.real-statistics.com/one-way-analysis-of-variance-anova/assumptions-anova/

http://www.mathworks.com/help/stats/one-way-anova.html

https://www.mathworks.com/help/stats/anova1.html

Thanks Soleila,

Yes, I know these general ANOVA assumptions. My question is more are we dealing with regular ANOVA test when we use anovan (multi-way analysis of variance)? For example, this link present that only assumption are related to residual normality:

http://www.itl.nist.gov/div898/handbook/eda/section2/eda21.htm

Therefore I did only residual analysis.

Any comment on that?

rgds, Mika