Consider a Two-Way Analysis of Variance Experiment with Treatment Factors

Essay

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.
$$\begin{array} { l r r } \text { Source of Variation } & d f & \text { SS } \\\text { Factor A } & & 71 \\\text { Factor B } & & 63 \\\text { Interaction } & & 50 \\\text { Error } & & 280 \\\text { Total } & 71 & 464\end{array}$$
Compute the mean squares and F to test the null hypothesis that no interaction exists between factor A and B at α = .05.