You are filling in the ANOVA table values for an experiment using a two-factor factorial design.In the experiment, there are three treatments for Factor A and four treatments for Factor B.Two replications are being used for each factor combination.The degrees of freedom that you should use to compute the mean square error (MSE) value is 12.

Question

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In a two-factor factorial design, the degrees of freedom for error (MSE) is calculated as the product of the number of replications and the degrees of freedom for the interaction term. Here, the interaction term degrees of freedom is (3-1)*(4-1) = 6 (since there are 3 levels for Factor A and 4 levels for Factor B), and with 2 replications, the degrees of freedom for error is 6*2 = 12.

You Are Filling in the ANOVA Table Values for an Experiment