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The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data:
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 262, SSA = 24, $33 = 25, SSAB = 155. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source Sum Degrees Mean of Variation of Squares of Freedom Square F value p-value FactorA 24 Q 3 9 8 9 3.31 k!) FactorB 25 9 2 9 12.5 9 5.18 k!) Interaction 155 M 6 9 25.83 9 10.71 9 Error 58 w 24 Q 2.41 9 Total 262 M 35 9 000 The p-value for Factor A is I between 0.025 and 0.05 VI 9 What is your conclusion with respect to Factor A? I Factor A is significant VI U The p-value for Factor B is I between 0.01 and 0.025 VI 9 What is your conclusion with respect to Factor B? I Factor B is significant VI 9 The p-value for the interaction of factors A and B is I less than 0.01 VI w What is your conclusion with respect to the interaction of Factors A and B? I The interaction of factors A and B is signicant VI 9
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