ANOVA Source of Variation Factor A Factor B Interaction Error MS 9,384.56 11,074

Question

ANOVA Source of Variation Factor A Factor B Interaction Error MS 9,384.56 11,074.26 30,368.03 3,105.77 df p-value 28,153.68 22,148.51 182,208.20 111,807.76 36 Total 344,318.15 47 (a) What kind of ANOVA is this? O One-factor ANOVA ( Two-factor ANOVA with replication O Two-factor ANOVA without replication (b) Calculate each Ftest statistic and the p-value for each Ftest using Excel's function F.DIST.RT(F,DF1,DF2). (Round your Fcalc values to 3 decimal places and p-values to 4 decimal places.) Source of Variation Factor A Factor B Interaction calc p-value (c-1) There is a significant effect due to Factor A. True O False (c-2) There is a significant effect due to Factor B True O False (C-3) There is a significant interaction between the two factors True O False

Explanation / Answer

a)

two factor ANOVA with replication

b)

here as :Fcalc =MS(factor)/MS(Error)

therefore

theefore

c-1) True

c-2)true

c-3) True

Source Fcalc p value factor A 3.022 0.0422 factor B 3.566 0.0386 Interaction 9.778 0.0000

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