46 44 49 4 51 43 52 a) Given that x..= EExij= 596 and EEx = 29986 calculate the following quantities: %3D %3D The correction factor, CF = i) ii) The first-row sum: x1. = Ejx1j = The second-row sum: x2 = E; X2j = The third-row sum: X3, = 2j X3j = The fourth-row sum: X4. = Ej X4j = The first-column sum: x1 = E; Xi1 = The second-column sum: x2 = E; xi2 = The third-column sum: x3 =£; X;3 = %3D ii) %3D iv) %3D %3D v) %3D vii) viii) ix) x) %3D %3D SSA= SSB= xi) xii) xiii) MSA= MSB= fA= xiv) b) Are the effects of factor A effective at 5% level of significance? How? c) Are the effects of factor B effective at 5% level of significance? How? d) From the given data, i) The estimate of the overall population mean, = ii) The estimate of the first effect for factor A, âz=

MATLAB: An Introduction with Applications
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10. The data below was collected from a two-factor ANOVA experiment, factor A has 4 levels and
factor B has 3 levels:
Factor B
1
3.
60
48
50
Factor A
53
50
48
46
44
49
4
51
43
52
a) Given that x..=
596 and EEx = 29986 calculate the following quantities:
%3D
The correction factor, CF =
The first-row sum: x1. = E;X1j =
The second-row sum: x2 = Ej X2j =
The third-row sum: x3. = E; X3j =
The fourth-row sum: X4. = 2j X4j =
The first-column sum: x1 = ; x;1 =
i)
iii)
iv)
v)
vi)
vii)
viii)
ix)
x)
xi)
xii)
xiii)
The second-column sum: x2 = E¡ Xi2 =
The third-column sum: x3 = E; X;3 =
SSA=
SSB=
MSA=
MSB=
fA=
fB=
xiv)
b) Are the effects of factor A effective at 5% level of significance? How?
c) Are the effects of factor B effective at 5% level of significance? How?
d) From the given data,
i)
The estimate of the overall population mean, u =
ii)
The estimate of the first effect for factor A, a=
ii)
The estimate of the first effect for factor B, B=
Transcribed Image Text:10. The data below was collected from a two-factor ANOVA experiment, factor A has 4 levels and factor B has 3 levels: Factor B 1 3. 60 48 50 Factor A 53 50 48 46 44 49 4 51 43 52 a) Given that x..= 596 and EEx = 29986 calculate the following quantities: %3D The correction factor, CF = The first-row sum: x1. = E;X1j = The second-row sum: x2 = Ej X2j = The third-row sum: x3. = E; X3j = The fourth-row sum: X4. = 2j X4j = The first-column sum: x1 = ; x;1 = i) iii) iv) v) vi) vii) viii) ix) x) xi) xii) xiii) The second-column sum: x2 = E¡ Xi2 = The third-column sum: x3 = E; X;3 = SSA= SSB= MSA= MSB= fA= fB= xiv) b) Are the effects of factor A effective at 5% level of significance? How? c) Are the effects of factor B effective at 5% level of significance? How? d) From the given data, i) The estimate of the overall population mean, u = ii) The estimate of the first effect for factor A, a= ii) The estimate of the first effect for factor B, B=
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