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 Feedback: MSE = 300/90 = 3.33B.The results are summarized below.
$$\begin{array} { l r r } \text { Source of Variation } & d f & \text { SS } \\\text { Factor A } & 4 & 86 \\\text { Factor B } & 5 & 75 \\\text { Interaction } & 20 & 75 \\\text { Error } & 90 & 300 \\\text { Total } & 119 & 536\end{array}$$ Compute the mean square and F,and test the null hypothesis that no interaction exists between factors A and B at α = .05.
F_int = 1.13 < F_.05,20,90 = 1.75,so we cannot reject the null hypothesis.Thus,we conclude that no interaction exists between Factors A and B