I was wondering about the difference between ANOVA and factorial design ?
I have applied the factorial design method for studying some models(in fact in is a model with three factors). I used Minitab . In fact it was an application on design of experiments.
Usually during my research ( which I am in the beginning ) I read in several places ( even on this website), asking about ANOVA?
For me, till now, the idea is fully unclear. What is ANOVA ? and what is Factorial design ? how they differ ? When we apply ANOVA, and when we apply Factorial design ?
What I know about ANOVA, Analysis of variance, is that it is may be What I read about the ANOVA decomposition of a function.
Any clarification is highly appreciated.