Table 3 ANOVA and model performance of full quadratic model and the refined model after variable selection.
Analysis of variance (ANOVA) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Source of variation | Sum of square | DF | Mean square | F | p-value | |||||
FM | MM | FM | RM | FM | RM | FM | RM | FM | RM | |
A (Temp) | 0.29 | 0.29 | 1 | 1 | 0.29 | 0.29 | 8.74 | 10.92 | 0.0131 | 0.0037 |
B (pH) | 0.46 | 0.46 | 1 | 1 | 0.46 | 0.46 | 13.89 | 17.35 | 0.0033 | 0.0005 |
C (Vex) | 0.26 | 0.26 | 1 | 1 | 0.26 | 0.26 | 7.83 | 9.78 | 0.0173 | 0.0055 |
D (VAg) | 0.19 | 0.19 | 1 | 1 | 0.19 | 0.19 | 5.76 | 7.20 | 0.0352 | 0.0147 |
E (time) | 5.409 ×10−3 | 5.409 ×10−3 | 1 | 1 | 5.409 ×10−3 | 5.409 ×10−3 | 0.16 | 0.20 | 0.6950 | 0.6578 |
AB | 4.573 ×10−3 | 1 | 4.573 ×10−3 | 0.14 | 0.7183 | |||||
AC | 0.029 | 1 | 0.029 | 0.86 | 0.3726 | |||||
AD | 2. ×10−4 | 1 | 2.865 ×10−4 | 8.582 ×10−3 | 0.9279 | |||||
AE | 0.10 | 0.10 | 1 | 1 | 0.10 | 0.10 | 3.11 | 3.89 | 0.1055 | 0.0634 |
BC | 0.086 | 0.086 | 1 | 1 | 0.086 | 0.086 | 2.58 | 3.22 | 0.1367 | 0.0886 |
BD | 0.15 | 0.15 | 1 | 1 | 0.15 | 0.15 | 4.46 | 5.58 | 0.0584 | 0.0291 |
BE | 4.820 ×10−3 | 1 | 4.820 ×10−3 | 0.14 | 0.7112 | |||||
CD | 0.024 | 1 | 0.024 | 0.71 | 0.4160 | |||||
CE | 0.18 | 0.18 | 1 | 1 | 0.18 | 0.18 | 5.28 | 6.60 | 0.0421 | 0.0188 |
DE | 0.13 | 0.13 | 1 | 1 | 0.13 | 0.13 | 4.00 | 5.00 | 0.0708 | 0.0376 |
A2 | 0.092 | 0.11 | 1 | 1 | 0.092 | 0.11 | 2.77 | 3.97 | 0.1242 | 0.0610 |
B2 | 0.060 | 1 | 0.060 | 1.79 | 0.2076 | |||||
C2 | 0.41 | 0.44 | 1 | 1 | 0.41 | 0.44 | 12.31 | 16.58 | 0.0049 | 0.0007 |
D2 | 6.989 ×10−3 | 1 | 6.989 ×10−3 | 0.21 | 0.6562 | |||||
E2 | 9.349 ×10−3 | 1 | 9.349 ×10−3 | 0.28 | 0.6072 | |||||
Model | 2.53 | 2.38 | 20 | 12 | 0.13 | 0.20 | 3.78 | 7.44 | 0.0137 | <0.0001 |
Residual | 0.37 | 0.51 | 11 | 19 | 0.033 | 0.027 | ||||
Lack of fit | 0.18 | 0.32 | 6 | 14 | 0.031 | 0.023 | 0.84 | 0.63 | 0.5891 | 0.7710 |
Pure error | 0.18 | 0.18 | 5 | 5 | 0.037 | 0.037 | ||||
Total | 2.89 | 2.89 | 31 | 31 | ||||||
Model statistics | ||||||||||
R2 (Regression coefficient) | R2 (Adjusted) | R2 (Predicted) | Adequate precision | |||||||
FM | RM | FM | RM | FM | RM | FM | RM | |||
0.873 | 0.825 | 0.642 | 0.714 | 0.783 | 0.546 | 10.093 | 13.823 | |||
Equations in terms of actual factors | ||||||||||
FM | RM | |||||||||
SPR Intensity =+3.50 −3.97 × 10−3 Temp +0.69 [pH] −1.24 [Vex] +0.150 [VAg] + 9.90 time –7.51 × 10−4 [Temp × pH] +2.83×10−3 [Temp × Vex] +5.64 × 10−5 [Temp × VAg] −8.95 × 10−5 [Temp × time] +0.049 [pH × Vex] −0.013 [pH × VAg] −1.93 × 10−4 [pH × time] −7.73 × 10−3 [Vex × VAg] +1.75 × 10−3. [Vex × time] −3.045 × 10−4 [VAg × time] +2.50×10−4 [Temp2] −0.020 [pH2] +0.120 [Vex2] +6.17 × 10−4 [VAg2] −4.96 × 10−6 [time2] | SPR Intensity = −1.77 −0.0031 Temp +0.29 [pH] −1.34 [Vex] +0.164 [VAg] + 0.0071 [time] −9.00 × 10−5 [Temp × time] +0.049 [pH × Vex] −0.013 [pH × VAg] +1.75 × 10−3 [Vex × time] −3.00 × 10−4 [VAg × time] +2.6510−4 [Temp2] +0.122 [Vex2] | |||||||||
