I am computing a Two-way ANOVA with two independent variables with two groups each (2x2 design) and a quantitative variable. I've checked all the assumptions, but, when I look at the "Test of between subjects effects" table, the Corrected model is not significant, what happens with in this situation? I think that the data and variables do not fit the ANOVA (or GLM) model. So, I have to choose a non parametric strategy, am I wrong? Thank you very much for your help.