I get significant main effects and a significant (3x2) interaction.
I now want to test the interaction between the blue and green bars. So something like a post-hoc 2x2 anova. This sounds weird though. So I have two (I think) simple questions:
How should I report it? I have good reasons to test the 2x2 interaction, but I can't really call it a planned comparison: it's not quite theory-driven.
Should I do any corrections? It would make no sense to test all possible interactions, but I could have also tested the interaction between red-green and red-blue. Should I then correct my critical values accordingly?