I'm designing an experiment which has to factors (A,B) with respectively 4 and 5 levels.
Since this is quite a large amount, I figured I use a factorial design. However, it is unclear whether the treatment will work at all, at any level or factor.
So I designed the following experiment:
All participants perform a test that is a negative control (no additions/treatment) and then those same participants perform a test with a randomly assigned level of each factor.
This allows me to test if the treatment at any level has any effect (T-test) and then check which combination of factor/level specifically is effective (ANOVA).
I've been looking for a proper resource on this, I assume this is a factorial design, but the addition of the control over all participants before the random treatment makes it hard to find the proper title/resource on this design.
Can anyone point me in a proper direction?