Table 2.
Source of variance | Degrees of freedom | Sum of square | Mean of square | F-value | P-value | Coefficient estimate | |
---|---|---|---|---|---|---|---|
Overall model | 20 | 43,277.76 | 2,163.89 | 127.64 | < 0.0001* | 77.10 | |
Linear effect | X1 | 1 | 29,967.77 | 29,967.77 | 1767.73 | < 0.0001* | 29.69 |
X2 | 1 | 336.13 | 336.13 | 19.83 | 0.0001* | 3.14 | |
X3 | 1 | 4.90 | 4.90 | 0.29 | 0.5948 | − 0.38 | |
X4 | 1 | 450.05 | 450.05 | 26.55 | < 0.0001* | 3.64 | |
X5 | 1 | 970.12 | 970.12 | 57.23 | < 0.0001* | − 5.34 | |
Interaction effect | X1X2 | 1 | 376.50 | 376.50 | 22.21 | < 0.0001* | − 3.43 |
X1X3 | 1 | 195.72 | 195.72 | 11.55 | 0.0020* | 2.47 | |
X1X4 | 1 | 74.46 | 74.46 | 4.39 | 0.0449* | − 1.53 | |
X1X5 | 1 | 421.37 | 421.37 | 24.86 | < 0.0001* | 3.63 | |
X2X3 | 1 | 14.51 | 14.51 | 0.86 | 0.3625 | − 0.67 | |
X2X4 | 1 | 335.70 | 335.70 | 19.80 | 0.0001* | 3.24 | |
X2X5 | 1 | 161.12 | 161.12 | 9.50 | 0.0045* | − 2.24 | |
X3X4 | 1 | 2.35 | 2.35 | 0.14 | 0.7125 | 0.27 | |
X3X5 | 1 | 401.18 | 401.18 | 23.66 | < 0.0001* | 3.54 | |
X4X5 | 1 | 41.52 | 41.52 | 2.45 | 0.1284 | 1.14 | |
Square effect | X12 | 1 | 3,420.41 | 3,420.41 | 201.76 | < 0.0001* | − 37.19 |
X22 | 1 | 4.30 | 4.30 | 0.25 | 0.6184 | 1.32 | |
X32 | 1 | 860.06 | 860.06 | 50.73 | < 0.0001* | − 18.65 | |
X42 | 1 | 711.39 | 711.39 | 41.96 | < 0.0001* | 16.96 | |
X52 | 1 | 454.27 | 454.27 | 26.80 | < 0.0001* | 13.55 | |
Error effect | Lack of fit | 22 | 444.75 | 20.22 | 3.02 | 0.0688 | |
Pure error | 7 | 46.88 | 6.70 | ||||
R2 | 0.9888 | Std. dev | 4.12 | ||||
Adj R2 | 0.9810 | Mean | 60.78 | ||||
Pred R2 | 0.9642 | C.V. % | 6.77 | ||||
Adeq Precision | 34.38 | PRESS | 1568.50 |
*Significant values, F Fishers's function, P Level of significance, C.V Coefficient of variation.