Table 3.
Source of variance | Degrees of freedom | Sum of square | Mean of square | F-value | P-value | Coefficient estimate | |
---|---|---|---|---|---|---|---|
Model | 20 | 1263.97 | 63.20 | 61.08 | < 0.0001* | 96.49 | |
Linear effect | X1 | 1 | 2.24 | 2.24 | 2.17 | 0.1518 | − 0.26 |
X2 | 1 | 188.66 | 188.66 | 182.32 | < 0.0001* | 2.36 | |
X3 | 1 | 16.10 | 16.10 | 15.56 | 0.0005* | 0.69 | |
X4 | 1 | 159.28 | 159.28 | 153.93 | < 0.0001* | 2.16 | |
X5 | 1 | 79.07 | 79.07 | 76.42 | < 0.0001* | 1.53 | |
Interaction effect | X1X2 | 1 | 94.60 | 94.60 | 91.42 | < 0.0001* | 1.72 |
X1X3 | 1 | 31.09 | 31.09 | 30.04 | < 0.0001* | − 0.99 | |
X1X4 | 1 | 0.14 | 0.14 | 0.13 | 0.7178 | 0.07 | |
X1X5 | 1 | 67.86 | 67.86 | 65.58 | < 0.0001* | 1.46 | |
X2X3 | 1 | 0.13 | 0.13 | 0.12 | 0.7281 | 0.06 | |
X2X4 | 1 | 11.69 | 11.69 | 11.30 | 0.0022* | 0.60 | |
X2X5 | 1 | 37.58 | 37.58 | 36.32 | < 0.0001 | − 1.08 | |
X3X4 | 1 | 14.93 | 14.93 | 14.43 | 0.0007* | 0.68 | |
X3X5 | 1 | 20.22 | 20.22 | 19.55 | 0.0001* | − 0.80 | |
X4X5 | 1 | 12.50 | 12.50 | 12.08 | 0.0016* | − 0.63 | |
Quadratic effect | X12 | 1 | 5.32 | 5.32 | 5.14 | 0.0310* | 1.47 |
X22 | 1 | 7.43 | 7.43 | 7.18 | 0.0120* | − 1.73 | |
X32 | 1 | 22.09 | 22.09 | 21.35 | < 0.0001* | − 2.99 | |
X42 | 1 | 12.90 | 12.90 | 12.46 | 0.0014* | − 2.28 | |
X52 | 1 | 8.31 | 8.31 | 8.03 | 0.0083* | − 1.83 | |
Error effect | Lack of Fit | 22 | 14.03 | 0.64 | 0.28 | 0.9899 | |
Pure Error | 7 | 15.97 | 2.28 | ||||
R2 | 0.9768 | Std. Dev | 1.02 | ||||
Adj R2 | 0.9608 | Mean | 91.48 | ||||
Pred R2 | 0.9474 | C.V. % | 1.11 | ||||
Adeq Precision | 30.32 | PRESS | 68.01 |
* Significant values, F: Fishers's function, P: Level of significance, C.V: Coefficient of variation.