Can I see it this way that all the factors involved in Full factorial designs are between-subject factors, while in flexible factorial design, we can model within-subject factors?
Let's say if I have 2 factors, one of which is a within-subject factor(A) and has 2 levels while the other is a between-subject factor(B) with 3 levels. And the purpose is to find out whether the main effects of these 2 factors and the interaction are significant.
My question is should I use Full factorial or flexible factorial in 2ndlevel?
Either way, I suppose in 1stlevel I should define these following contrasts:
[1 0 0 0 0]
[0 1 0 0 0]
[0 0 1 0 0]
[0 0 0 1 0]
[0 0 0 0 1]
for the effects of A1 A2 B1 B2 B3 respectively. But I am not so sure about this part. Could you tell me whether I get the 1stlelve contrast part correctly? Besides, how exactly should I define contrast vectors in 2ndlevel?
Any kind of help would be appreciated, Millions of thanks