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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