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I've conducted a 4 way mixed ANOVA with 3 within-subject variables: A,B and C, and one between subject variable: D. There is a significant interaction between A, B and C. Neither of the interactions of within-subject factors with the between-subject factor are significant. Also the between subject factor itself is non-significant (based on the SPPS output table with between-subjects effects).

I would like to do the follow-up analysis for the interaction between A and B at each level of C. Do I need to add the between subject variable in the follow-up tests?

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If the interaction between D and A,B,C are not significant, there is no point to include D into the follow-up analysis. I presume you are referring to a post-hoc.

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