If each main effect is significant,then the interaction must also be significant for a two-way between-subjects ANOVA.

Name: If each main effect is significant,then the interaction must also be significant for a two-way between-subjects ANOVA.
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The significance of main effects in a two-way ANOVA does not guarantee the significance of the interaction effect. Main effects and interaction effects test different hypotheses and can be significant independently of each other.

If Each Main Effect Is Significant,then the Interaction Must Also