If both main effects and the interaction are not significant using the two-way between-subjects ANOVA then post hoc tests and simple main effect tests are unnecessary.

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If both main effects and interaction are not significant in a two-way between-subjects ANOVA, it indicates that there aren't any significant differences between the groups. Hence, post hoc tests and simple main effect tests are unnecessary in such cases.

If Both Main Effects and the Interaction Are Not Significant