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 assign to the error sum of squares is 12.

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In a two-factor factorial design with replication, the degrees of freedom for error is calculated as (number of replications - 1) * (number of levels of Factor A) * (number of levels of Factor B). Here, it is (2 - 1) * 3 * 4 = 12.

You Are Filling in the ANOVA Table Values for an Experiment