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Three-way ANOVA

1 Three-way ANOVAD ivide and conquerGeneral Guidelines for Dealing with a 3-way ANOVA ABC is significant: Do not interpret the main effects or the 2-way interactions. Divide the 3-way analysis into 2-way analyses. For example, you may conduct a 2-way analysis (AB) at each level of C. Follow up the two-way analyses and interpret them. Of course, you could repeat the procedure for, say, the AC interaction at different levels of ANOVA ABC is NOT significant, but all of the 2-way interactions (AB, AC, & BC) are significant: You may follow up and interpret the two way interactions, but not the main effects. Plot the AB interaction ignoring C to interpret it. You could also compare the means on the AB-table using post-hoc (or planned) comparisons.

Three-way ANOVA • ABC is not significant • AB is not significant • AC is not significant • BC is not significant • A is significant • B is significant • C is not significant You can follow up and interpret the A and B main effects. Repeated Measures Designs • Simple repeated Measures Design: Uses the same subjects in all conditions.

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