Question: In regards to a factorial ANVOA, when do we use linear contrasts? I'm aware when we have a statistically significant interaction or statistically significant main

In regards to a factorial ANVOA, when do we use linear contrasts?

I'm aware when we have a statistically significant interaction or statistically significant main effect we can use the simple effects follow-up analysis to figure out WHERE the difference lies IF we have > 2 IV in the model.

In that case, why do we have linear contrasts? When do we use this? What purpose does it serve when we can already use the simple effects analysis to obtain the same info? Or is this an ALTERNATE measure? Or do we use this when we only have a significant main effect, but not a significant interaction?

ALSO,

- What is the difference (if one) between follow-up testing and post-hoc testing?

- When do we use the bonferroni approach to adjust the alpha-level?

- After running the factorial ANOVA, do we first conduct post-hoc testing (bonferroni) AND THEN follow-up testing (simple effects, linear contrast)?

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