In a two-factor ANOVA study, if the two factors do not interact, then neither factor A nor factor B can be considered statistically significant.

Question

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The lack of interaction between two factors in a two-factor ANOVA does not imply that neither factor is statistically significant. Each factor can still have a significant main effect on the dependent variable independently of the interaction effect.

In a Two-Factor ANOVA Study, If the Two Factors Do