In a two-way ANOVA, it is appropriate to interpret main effects when the interaction component is not significant.

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When the interaction component is not significant, it suggests that the effect of one factor is consistent across all levels of the other factor. Thus, it is appropriate to interpret main effects in this situation. When the interaction component is not significant, it suggests that there is no significant relationship between the two factors on the response variable. In this case, it is appropriate to interpret the main effects of each factor separately.

In a Two-Way ANOVA, It Is Appropriate to Interpret Main