In a two-way factor ANOVA with replications, the reason for separating out the sum of squares due to interaction between factors A and B is to increase the chance of detecting significant differences across levels of factor A and factor B.

Question

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Separating out the sum of squares due to interaction helps to account for any combined effect of factors A and B on the response variable, which can increase the power of the analysis to detect significant differences across levels of both factors.

In a Two-Way Factor ANOVA with Replications, the Reason for Separating