A two-factor factorial experiment has 2 levels of factor A and 3 levels of factor B. The experiment is replicated three times. The ANOVA indicates that both main effects are signif- icant but the interaction is not significant. The interaction term is dropped from the model. The number of pure error degrees of freedom for the reduced model are...
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We have 2 levels of factor A, 3 levels of factor B, and each combination is replicated 3 times. So, the total number of experimental units is 2*3*3 = 18. Show more…
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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: SST = 264, SSA = 26, SSB = 23, SSAB = 155. Set up the ANOVA table and test for significance using α = .05. Show entries to 2 decimals, if necessary. If the answer is zero enter "0".
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A factorial experiment (2-way ANOVA) involving 3 levels of factor A and 3 levels of factor B resulted in the following partially completed 2-Way ANOVA table: Factor B Level 1 Level 2 Level 3 Level 1 14 20 32 16 18 26 15 19 28 Factor A Level 2 18 16 26 20 14 25 19 15 23 Level 3 16 18 24 18 17 22 18 18 21 ANOVA Source of Variation SS df MS F Factor A 15.41 Factor B 389.41 Interaction(A*B) 95.26 Error Total 539.41
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The calculations for a factorial experiment involving four levels of factor $\mathrm{A},$ three levels of factor $\mathrm{B}$, and three replications resulted in the following data: $\mathrm{SST}=280$, $\mathrm{SSA}=26, \mathrm{SSB}=23, \mathrm{SSAB}=175 .$ Set up the ANOVA table and test for any significant main effects and any interaction effect. Use $\alpha=.05$.
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