In a two-factor ANOVA design with replication, if the null hypothesis pertaining to interaction between factors A and B is rejected, then it is recommended that the hypothesis tests for factor A and factor B individually should not be conducted because the conclusions might be misleading.

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When the null hypothesis for interaction is rejected in a two-factor ANOVA, it indicates that the effects of one factor depend on the level of the other factor. Analyzing the main effects of factors A and B individually without considering their interaction can lead to misleading conclusions because the simple main effects do not capture the complexity of their interdependent relationship.

In a Two-Factor ANOVA Design with Replication, If the Null