I have a significant three-way interaction (with no significant two-way interactions and no significant main effects).
To begin with I have followed this up with two two-way ANOVAs (one at each level of the third variable). The first part of my question is whether this is an appropriate follow-up.
This showed no significant main effects or interactions at either level of the third variable...is this the end of the analysis?
If so, how would I interpret the three-way interaction?