Source of variance Sum of squares Degrees of freedom Mean square F value P value
X1 10.81 1 10.81 0.14 0.7195
X2 184.32 1 184.32 2.38 0.1665
X3 646.20 1 646.20 8.36 0.0233
X1X2 32.49 1 32.49 0.42 0.5375
X1X3 18.06 1 18.06 0.23 0.6436
X2X3 118.81 1 118.81 1.54 0.2551
X12 2359.53 1 2359.53 30.52 0.0009
X22 2956.28 1 2956.28 38.23 0.0005
X32 719.54 1 719.54 9.31 0.0186
Model 7685.36 9 853.93 11.04 0.0023
Residual 541.24 7 77.32    
Pure error 331.65 4 82.91    
Lack of fit 209.59 3 69.86 0.84 0.5375
Total variation 8226.60 16      
Table 3: ANOVA of comprehensive weighted scores( λ1 =0.5, λ2 =0.5).