I am trying to understand Type I/II/III sums of squares. Take for instance the 2 way Anova with 2 factors A and B.
I do not follow what Type III Sums of Squares are. In type III sums of squares we account for the main effect (say A) AFTER removing the effect of the other main effect(B) + interaction(AB). My query is : IF there is interaction, how can we have a main effect for A ? We would have simple effects for both factors and not a main effect.
Can someone clear my doubt ?