If there is enough evidence to conclude that there is interaction in a two-factor ANOVA,do not proceed to conduct the F-tests for each factor individually.

Question

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If there is evidence of interaction between the two factors in a two-factor ANOVA, it is important to examine the interaction effect before interpreting the main effects of each individual factor. F-tests for each individual factor may not provide a complete understanding of the results and may lead to incorrect conclusions.

If There Is Enough Evidence to Conclude That There Is