Table 3.
Source of variance | Degrees of freedom | Sum of square | Mean of square | F-value | P-value | Coefficient estimate | |
---|---|---|---|---|---|---|---|
Overall model | 20 | 6,714.68 | 335.73 | 199.94 | < 0.0001* | 73.82 | |
Linear effect | X1 | 1 | 3,936.38 | 3,936.38 | 2,344.29 | < 0.0001* | 10.76 |
X2 | 1 | 115.02 | 115.02 | 68.50 | < 0.0001* | 1.84 | |
X3 | 1 | 19.60 | 19.60 | 11.67 | 0.0019* | − 0.76 | |
X4 | 1 | 145.84 | 145.84 | 86.86 | < 0.0001* | 2.07 | |
X5 | 1 | 265.00 | 265.00 | 157.82 | < 0.0001* | − 2.79 | |
Interaction effect | X1X2 | 1 | 77.90 | 77.90 | 46.39 | < 0.0001* | − 1.56 |
X1X3 | 1 | 553.45 | 553.45 | 329.61 | < 0.0001* | 4.16 | |
X1X4 | 1 | 4.94 | 4.94 | 2.94 | 0.0971 | 0.39 | |
X1X5 | 1 | 42.06 | 42.06 | 25.05 | < 0.0001* | 1.15 | |
X2X3 | 1 | 1.70 | 1.70 | 1.01 | 0.3222 | − 0.23 | |
X2X4 | 1 | 102.03 | 102.03 | 60.77 | < 0.0001* | 1.79 | |
X2X5 | 1 | 61.97 | 61.97 | 36.90 | < 0.0001* | − 1.39 | |
X3X4 | 1 | 49.62 | 49.62 | 29.55 | < 0.0001* | − 1.25 | |
X3X5 | 1 | 121.89 | 121.89 | 72.59 | < 0.0001* | 1.95 | |
X4X5 | 1 | 0.43 | 0.43 | 0.26 | 0.6162 | 0.12 | |
Square effect | X12 | 1 | 649.80 | 649.80 | 386.99 | < 0.0001* | − 16.21 |
X22 | 1 | 40.90 | 40.90 | 24.36 | < 0.0001* | 4.07 | |
X32 | 1 | 41.00 | 41.00 | 24.42 | < 0.0001* | − 4.07 | |
X42 | 1 | 380.06 | 380.06 | 226.34 | < 0.0001* | 12.40 | |
X52 | 1 | 10.73 | 10.73 | 6.39 | 0.0172* | − 2.08 | |
Error effect | Lack of fit | 22 | 41.74 | 1.90 | 1.91 | 0.1927 | |
Pure error | 7 | 6.95 | 0.99 | ||||
R2 | 0.9928 | Std. dev | 1.30 | ||||
Adj R2 | 0.9878 | Mean | 69.81 | ||||
Pred R2 | 0.9754 | C.V. % | 1.86 | ||||
Adeq precision | 49.34 | PRESS | 166.15 |
*Significant values, F: Fishers's function, P level of significance, C.V coefficient of variation.