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

question 76

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.
 Source of Variation df SS  Factor A 71 Factor B 63 Interaction 50 Error 280 Total 71464\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 appropriate F statistic to test the null hypotheses of no effect from either factor at α = .05 (assumption: no interaction effect).


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