Question: Looking at two-way factorial ANOVA with interactions If have two significant main effects. Does that mean that I must also have a significant interaction? IF

Looking at two-way factorial ANOVA with interactions

If have two significant main effects. Does that mean that I must also have a significant interaction?

IF I have a significant interaction. Does that mean that at least one main effect needs to be significant?

If I conduct tests on all four simple effects before I test the interaction. If any of these are significant, does it mean that I must also have a significant interaction?

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