Table 2.
Source of variance | Degrees of freedom | Sum of square | Mean of square | F-value | P-value | Coefficient estimate | |
---|---|---|---|---|---|---|---|
Model | 20 | 22,728.56 | 1136.43 | 271.25 | < 0.0001* | 93.67 | |
Linear effect | X1 | 1 | 261.77 | 261.77 | 62.48 | < 0.0001* | − 2.77 |
X2 | 1 | 11.38 | 11.38 | 2.72 | 0.1101 | 0.58 | |
X3 | 1 | 1172.94 | 1172.94 | 279.96 | < 0.0001* | 5.87 | |
X4 | 1 | 1504.90 | 1504.90 | 359.19 | < 0.0001* | − 6.65 | |
X5 | 1 | 1466.42 | 1466.42 | 350.01 | < 0.0001* | − 6.57 | |
Interaction effect | X1X2 | 1 | 227.64 | 227.64 | 54.33 | < 0.0001* | − 2.67 |
X1X3 | 1 | 45.20 | 45.20 | 10.79 | 0.0027* | − 1.19 | |
X1X4 | 1 | 319.98 | 319.98 | 76.37 | < 0.0001* | 3.16 | |
X1X5 | 1 | 28.67 | 28.67 | 6.84 | 0.0140* | 0.95 | |
X2X3 | 1 | 381.09 | 381.09 | 90.96 | < 0.0001* | 3.45 | |
X2X4 | 1 | 520.60 | 520.60 | 124.26 | < 0.0001* | − 4.03 | |
X2X5 | 1 | 346.17 | 346.17 | 82.63 | < 0.0001* | − 3.29 | |
X3X4 | 1 | 656.76 | 656.76 | 156.76 | < 0.0001* | 4.53 | |
X3X5 | 1 | 315.44 | 315.44 | 75.29 | < 0.0001* | 3.14 | |
X4X5 | 1 | 440.97 | 440.97 | 105.25 | < 0.0001* | − 3.71 | |
Quadratic effect | X12 | 1 | 16.47 | 16.47 | 3.93 | 0.0569 | 2.58 |
X22 | 1 | 14.66 | 14.66 | 3.50 | 0.0716 | − 2.43 | |
X32 | 1 | 32.76 | 32.76 | 7.82 | 0.0091* | − 3.64 | |
X42 | 1 | 62.06 | 62.06 | 14.81 | 0.0006* | − 5.01 | |
X52 | 1 | 2219.22 | 2219.22 | 529.69 | < 0.0001* | − 29.95 | |
Error effect | Lack of Fit | 22 | 107.87 | 4.90 | 2.52 | 0.1062 | |
Pure Error | 7 | 13.63 | 1.95 | ||||
R2 | 0.9947 | Std. Dev | 2.05 | ||||
Adj R2 | 0.9910 | Mean | 67.52 | ||||
Pred R2 | 0.9843 | C.V. % | 3.03 | ||||
Adeq Precision | 63.80 | PRESS | 358.04 |
“* Significant values, F: Fishers's function, P: Level of significance, C.V: Coefficient of variation”.