I am really hoping you can shed some light on a topic that I am struggling with.   I have a 2x3x4 repeated measured anova. I have a significant 3-way interaction, and I want to make sure that I am using the correct post hoc comparisons and not violating any key statistics theory.  If we consider my 2x3x4 RM ANOVA to be AxBxC. With the significant 3-way interaction I have performed the following post-hoc analysis:  AxB at each level of C  AxC at each level of B   BXC at each level of A  Is it typical for post-hoc tests on a three way interaction to perform all of the above 3 comparisons or would one typically just pick one or 2? They are all an important part of the story.  Also regarding adjustment for multiple comparisons, I have used SIDAK to adjust for for this within each of the above 3 tests. I am assuming that I do not need to adjust each p value further to account for the total number of comparisons in all 3 of the above?  Finally, most stats textbooks state that if you have an interaction term you can't reliably interpret the main effects. If I only have an interaction term for AxB, not AxC or BxC, is it still ok to interpret the main effect? Thanks for you help,
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?
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