Table 4. ANOVA (analysis of variance) for central composite design
Source | Sum of squares | Degree of freedom | Mean square | F-value | p-value |
Model | 1.37e+18 | 9 | 1.52e+17 | 43.16 | 0.0001 |
X1 | 1.83e+16 | 1 | 1.83e+16 | 5.19 | 0.0568 |
X2 | 4.70e+14 | 1 | 4.70e+14 | 0.1329 | 0.7262 |
X3 | 5.60e+17 | 1 | 5.60e+17 | 158.50 | 0.0001 |
X1X2 | 1.75e+17 | 1 | 1.75e+17 | 49.65 | 0.0002 |
X1X3 | 1.42e+17 | 1 | 1.42e+17 | 40.10 | 0.0004 |
X2X3 | 3.34e+17 | 1 | 3.34e+17 | 94.53 | 0.0001 |
X12 | 1.31e+17 | 1 | 1.31e+17 | 36.98 | 0.0005 |
X22 | 5.70e+14 | 1 | 5.70e+14 | 0.1615 | 0.6998 |
X32 | 1.89e+16 | 1 | 1.89e+16 | 5.34 | 0.0541 |
Residual | 2.47e+16 | 7 | 3.53e+15 | | |
Lack of fit | 2.41e+16 | 5 | 4.82e+15 | 14.82 | 0.0644 |
Pure error | 6.50e+14 | 2 | 3.25e+14 | | |
Cor total | 1.40e+18 | 16 | | | |
Standard deviation | 5.944e+07 | R-squred | 0.9823 |
Mean | 7.044e+08 | Adjusted R-squre | 0.9595 |