ANOVA Source of Variation Factor A Factor B Interaction Error df MS 11,947.88 11

Question

ANOVA Source of Variation Factor A Factor B Interaction Error df MS 11,947.88 11,079.25 32,842.20 3,724.63 p-value 35,843.64 22,158.50 197,053.22 134,086.54 36 Total 389,141.90 47 (a) What kind of ANOVA is this? OOne-factor ANOVA O Two-factor ANOVA with replication 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. O True O False (c-2) There is a significant effect due to Factor B. O False O True (c-3) There is a significant interaction between the two factors. O True O False

Explanation / Answer

(a) Here the ANOVA is Two way ANOVA with replication

(b) here F(calc) = MSE/[SST/dFTotal]

(c-1)

Here there is significant effect due to factor A.

(c -2)

Here there is not significant effect due to factor B.

(c - 3)

There is significant effect due to interaction.

Source of Variation F(calc) p- value Factor A 3.207803 0.0344303 Factor B 2.974591 0.06374148 Interaction 8.817574 6.1896E-06

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