Table 4 ANOVA for response surface quadratic model
Source | Sum of squares | df | Mean square | F value | p Prob>F |
|---|---|---|---|---|---|
Model | 4309.22 | 14 | 307.80 | 5.44 | 0.0038 |
Intercept | Â | Â | Â | Â | <0.0001 |
\( X_{1} \) | 14.05 | 1 | 14.05 | 0.25 | 0.6280 |
\( X_{2} \) | 30.16 | 1 | 30.16 | 0.53 | 0.4805 |
\( X_{3} \) | 1454.40 | 1 | 1454.40 | 25.72 | 0.0004 |
\( X_{4} \) | 6.60 | 1 | 6.60 | 0.12 | 0.7390 |
\( X_{1} X_{2} \) | 9.61 | 1 | 9.61 | 0.17 | 0.6881 |
\( X_{1} X_{3} \) | 607.62 | 1 | 607.62 | 10.75 | 0.0074 |
\( X_{1} X_{4} \) | 12.25 | 1 | 12.25 | 0.22 | 0.6507 |
\( X_{2} X_{3} \) | 6.50 | 1 | 6.50 | 0.12 | 0.7409 |
\( X_{2} X_{4} \) | 1.21 | 1 | 1.21 | 0.02 | 0.8863 |
\( X_{3} X_{4} \) | 22.56 | 1 | 22.56 | 0.40 | 0.5405 |
\( X_{1}^{2} \) | 681.02 | 1 | 681.02 | 12.04 | 0.0052 |
\( X_{2}^{2} \) | 40.83 | 1 | 40.83 | 0.72 | 0.4136 |
\( X_{3}^{2} \) | 470.70 | 1 | 470.70 | 8.32 | 0.0148 |
\( X_{4}^{2} \) | 184.72 | 1 | 184.72 | 3.27 | 0.0981 |
Total error | 622.01 | 11 | 56.55 | Â | Â |
Lack of fit | 621.29 | 10 | 62.13 | 86.29 | 0.0836 |
Pure error | 0.72 | 1 | 0.72 | Â | Â |
Grand total | 4931.23 | 25 | Â | Â | Â |