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Saved Help Consider the following partially completed two-way ANOVA table. Suppose there are 5 levels of Factor A and 4 level
Homework 3 1 Saved 3. Determine if there is a significant difference in Factor A means, Factor B means. There is in Factor A
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Answer #1

1)

Level of Factor A, a = 5

Level of Factor B, b = 4

Number of repetition, r = 3

df(A) = a-1 = 4

df(B) = b-1 = 3

df(AB) = (a-1)*(b-1) = 12

df(error) = ab(r-1) = 40

df(total) = abr-1 = 59

MSA = SSA/df(A) = 15

MSB = SSB/df(B) = 25

MSAB = SSAB/df(AB) = 20.83333

MSE = SSE/df(error) = 5

F for factor A : F = MSA/MSE = 3

F for factor B : F = MSB/MSE = 5

F For Interaction : F = MSAB/MSE = 4.1667

ANOVA
Source of Variation SS df MS F
Factor A 60 4 15 3
Factor B 75 3 25 5
Interaction 250 12 20.83 4.17
Error 200 40 5
Total 585 59

2)

Critical value for Factor A, Fc = F.INV.RT(0.01,4,40)=   3.83

Critical value for Factor B, Fc = F.INV.RT(0.01,3,40)=   4.31

Critical value for interaction, Fc = F.INV.RT(0.01,12,40)=   2.66

3)

There is a not a significant difference in Factor A and there is a significant difference in Factor B.

4)

There is a significant difference in interaction means

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