I think I have a rather simple question. I have a 2x2 ANOVA and I am both interested in the main effects and their interaction. Usually, I'd simply run the ANOVA (type 3) to see whether main effects or interaction is significant. However, I have directional hypotheses regarding the main effects (i.e., needing a one-sided test).
Is there a way to include this in my analyses? I thought about using contrasts but usually you only need such contrasts if you have more than two conditions per factor. Or do I need to run the ANOVA and use post-hoc t-tests to specifically test the hypotheses?
Thanks for any help!