Table 3.
Analysis of variance (ANOVA) for the quadratic polynomial mode.
| Source | Sum of squares | dfa | Mean square | F-valueb | p-valuec |
|---|---|---|---|---|---|
| TPC (y1)d | |||||
| Model | 439,900 | 20 | 21,993.66 | 18.49 | < 0.0001 |
| X1 | 395,800 | 1 | 3.96E+05 | 332.8 | < 0.0001 |
| X2 | 270.07 | 1 | 270.07 | 0.2271 | 0.6373 |
| X3 | 440.06 | 1 | 440.06 | 0.37 | 0.5477 |
| X4 | 6447.81 | 1 | 6447.81 | 5.42 | 0.0271 |
| X5 | 489.66 | 1 | 489.66 | 0.4118 | 0.5261 |
| X1X2 | 2830.15 | 1 | 2830.15 | 2.38 | 0.1337 |
| X1X3 | 222.29 | 1 | 222.29 | 0.1869 | 0.6687 |
| X1X4 | 290.77 | 1 | 290.77 | 0.2445 | 0.6247 |
| X1X5 | 2198.84 | 1 | 2198.84 | 1.85 | 0.1844 |
| X2X3 | 545 | 1 | 545 | 0.4583 | 0.5038 |
| X2X4 | 1117.46 | 1 | 1117.46 | 0.9397 | 0.3404 |
| X3X4 | 710.46 | 1 | 710.46 | 0.5974 | 0.4458 |
| X3X5 | 33.74 | 1 | 33.74 | 0.0284 | 0.8674 |
| X4X5 | 3002.74 | 1 | 3002.74 | 2.53 | 0.1229 |
| X12 | 3677.82 | 1 | 3677.82 | 3.09 | 0.0892 |
| X22 | 1430.88 | 1 | 1430.88 | 1.2 | 0.2817 |
| X32 | 6893.43 | 1 | 6893.43 | 5.8 | 0.0226 |
| X42 | 8144.72 | 1 | 8144.72 | 6.85 | 0.0139 |
| X52 | 2849.08 | 1 | 2849.08 | 2.4 | 0.1325 |
| Residual | 11,581.3 | 1 | 11,581.28 | 9.74 | 0.0041 |
| Lack of fit | 34,486.8 | 29 | 1189.2 | ||
| Pure error | 34,470.1 | 22 | 1566.82 | 656.48 | < 0.0001 |
| Cor total | 16.71 | 7 | 2.39 | ||
| TFC (y2)e | |||||
| Model | 129,800 | 20 | 6491.91 | 19.96 | < 0.0001 |
| X1 | 115,600 | 1 | 1.16E+05 | 355.45 | < 0.0001 |
| X2 | 679.09 | 1 | 679.09 | 2.09 | 0.1592 |
| X3 | 221.21 | 1 | 221.21 | 0.6801 | 0.4163 |
| X4 | 2763.7 | 1 | 2763.7 | 8.5 | 0.0068 |
| X5 | 737.91 | 1 | 737.91 | 2.27 | 0.1428 |
| X1X2 | 213.72 | 1 | 213.72 | 0.657 | 0.4242 |
| X1X3 | 1015 | 1 | 1015 | 3.12 | 0.0878 |
| X1X4 | 243.55 | 1 | 243.55 | 0.7488 | 0.394 |
| X1X5 | 720.84 | 1 | 720.84 | 2.22 | 0.1474 |
| X2X3 | 57.46 | 1 | 57.46 | 0.1767 | 0.6774 |
| X2X4 | 496.9 | 1 | 496.9 | 1.53 | 0.2264 |
| X3X4 | 32.37 | 1 | 32.37 | 0.0995 | 0.7547 |
| X3X5 | 0.0021 | 1 | 0.0021 | 6.40E-06 | 0.998 |
| X4X5 | 1006.91 | 1 | 1006.91 | 3.1 | 0.0891 |
| X12 | 317.76 | 1 | 317.76 | 0.9769 | 0.3311 |
| X22 | 660.42 | 1 | 660.42 | 2.03 | 0.1649 |
| X32 | 1594.97 | 1 | 1594.97 | 4.9 | 0.0348 |
| X42 | 1575.56 | 1 | 1575.56 | 4.84 | 0.0359 |
| X52 | 894.54 | 1 | 894.54 | 2.75 | 0.108 |
| Residual | 3497.2 | 1 | 3497.2 | 10.75 | 0.0027 |
| Lack of fit | 9432.79 | 29 | 325.27 | ||
| Pure error | 9424.85 | 22 | 428.4 | 378.08 | < 0.0001 |
| Cor total | 7.93 | 7 | 1.13 | ||
| %DPPH*sc (y3)f | |||||
| Model | 3314.9 | 20 | 165.74 | 13.73 | < 0.0001 |
| X1 | 2645.01 | 1 | 2645.01 | 219.12 | < 0.0001 |
| X2 | 33.29 | 1 | 33.29 | 2.76 | 0.1076 |
| X3 | 7.45 | 1 | 7.45 | 0.617 | 0.4385 |
| X4 | 49.66 | 1 | 49.66 | 4.11 | 0.0518 |
| X5 | 5.49 | 1 | 5.49 | 0.455 | 0.5053 |
| X1X2 | 0.1164 | 1 | 0.1164 | 0.0096 | 0.9224 |
| X1X3 | 3.06 | 1 | 3.06 | 0.2532 | 0.6186 |
| X1X4 | 67.48 | 1 | 67.48 | 5.59 | 0.025 |
| X1X5 | 5.64 | 1 | 5.64 | 0.4669 | 0.4998 |
| X2X3 | 26.44 | 1 | 26.44 | 2.19 | 0.1496 |
| X2X4 | 67.77 | 1 | 67.77 | 5.61 | 0.0247 |
| X3X4 | 0.1093 | 1 | 0.1093 | 0.0091 | 0.9249 |
| X3X5 | 23.38 | 1 | 23.38 | 1.94 | 0.1746 |
| X4X5 | 69.24 | 1 | 69.24 | 5.74 | 0.0233 |
| X12 | 90.01 | 1 | 90.01 | 7.46 | 0.0106 |
| X22 | 105.14 | 1 | 105.14 | 8.71 | 0.0062 |
| X32 | 110.2 | 1 | 110.2 | 9.13 | 0.0052 |
| X42 | 37.65 | 1 | 37.65 | 3.12 | 0.0879 |
| X52 | 42.31 | 1 | 42.31 | 3.51 | 0.0713 |
| Residual | 20.21 | 1 | 20.21 | 1.67 | 0.2059 |
| Lack of fit | 350.06 | 29 | 12.07 | ||
| Pure error | 321.82 | 22 | 14.63 | 3.63 | 0.0431 |
| Cor total | 28.24 | 7 | 4.03 | ||
| %ABTS*sc (y4)g | |||||
| Model | 3196.49 | 20 | 159.82 | 9.97 | < 0.0001 |
| X1 | 2543.85 | 1 | 2543.85 | 158.7 | < 0.0001 |
| X2 | 58.62 | 1 | 58.62 | 3.66 | 0.0658 |
| X3 | 6.13 | 1 | 6.13 | 0.3825 | 0.5411 |
| X4 | 61.36 | 1 | 61.36 | 3.83 | 0.0601 |
| X5 | 4.51 | 1 | 4.51 | 0.2812 | 0.6 |
| X1X2 | 2.43 | 1 | 2.43 | 0.1513 | 0.7001 |
| X1X3 | 10.66 | 1 | 10.66 | 0.6651 | 0.4214 |
| X1X4 | 73.84 | 1 | 73.84 | 4.61 | 0.0403 |
| X1X5 | 0.4209 | 1 | 0.4209 | 0.0263 | 0.8724 |
| X2X3 | 19.58 | 1 | 19.58 | 1.22 | 0.2782 |
| X2X4 | 56.9 | 1 | 56.9 | 3.55 | 0.0696 |
| X3X4 | 0.5913 | 1 | 0.5913 | 0.0369 | 0.849 |
| X3X5 | 38.43 | 1 | 38.43 | 2.4 | 0.1324 |
| X4X5 | 94.57 | 1 | 94.57 | 5.9 | 0.0216 |
| X12 | 52.56 | 1 | 52.56 | 3.28 | 0.0806 |
| X22 | 98.26 | 1 | 98.26 | 6.13 | 0.0194 |
| X32 | 74.67 | 1 | 74.67 | 4.66 | 0.0393 |
| X42 | 18.14 | 1 | 18.14 | 1.13 | 0.2961 |
| X52 | 35.28 | 1 | 35.28 | 2.2 | 0.1487 |
| Residual | 14.48 | 1 | 14.48 | 0.9032 | 0.3498 |
| Lack of fit | 464.86 | 29 | 16.03 | ||
| Pure error | 428.67 | 22 | 19.48 | 3.77 | 0.039 |
| Cor total | 36.19 | 7 | 5.17 | ||
| FRAP (y5)h | |||||
| Model | 3282.89 | 20 | 164.14 | 10.64 | < 0.0001 |
| X1 | 2564.2 | 1 | 2564.2 | 166.17 | < 0.0001 |
| X2 | 76.61 | 1 | 76.61 | 4.96 | 0.0338 |
| X3 | 7.49 | 1 | 7.49 | 0.4854 | 0.4915 |
| X4 | 67.35 | 1 | 67.35 | 4.36 | 0.0456 |
| X5 | 3.5 | 1 | 3.5 | 0.2269 | 0.6374 |
| X1X2 | 2.48 | 1 | 2.48 | 0.1608 | 0.6914 |
| X1X3 | 14.62 | 1 | 14.62 | 0.9475 | 0.3384 |
| X1X4 | 67.31 | 1 | 67.31 | 4.36 | 0.0456 |
| X1X5 | 2.57 | 1 | 2.57 | 0.1666 | 0.6862 |
| X2X3 | 18.93 | 1 | 18.93 | 1.23 | 0.2772 |
| X2X4 | 59.98 | 1 | 59.98 | 3.89 | 0.0583 |
| X3X4 | 0.0109 | 1 | 0.0109 | 0.0007 | 0.979 |
| X3X5 | 26.48 | 1 | 26.48 | 1.72 | 0.2005 |
| X4X5 | 106.32 | 1 | 106.32 | 6.89 | 0.0137 |
| X12 | 59.32 | 1 | 59.32 | 3.84 | 0.0596 |
| X22 | 120.83 | 1 | 120.83 | 7.83 | 0.009 |
| X32 | 80.57 | 1 | 80.57 | 5.22 | 0.0298 |
| X42 | 25.1 | 1 | 25.1 | 1.63 | 0.2123 |
| X52 | 48.08 | 1 | 48.08 | 3.12 | 0.0881 |
| Residual | 12.03 | 1 | 12.03 | 0.7794 | 0.3846 |
| Lack of fit | 447.5 | 29 | 15.43 | ||
| Pure error | 416.99 | 22 | 18.95 | 4.35 | 0.0264 |
| Cor total | 30.51 | 7 | 4.36 | ||
aDegrees of freedom.
bTest for comparing model variance with residual (error) variance.
cProbability of seeing the observed F value if the null hypothesis is true.
dStd Dev: 34.48; Mean: 526.91; R2 = 0.9273; R2 predicted = 0.6930; R2 adjusted = 0.8772.
eStd Dev: 18.04; Mean: 347.09; R2 = 0.9323; adjusted R2 = 0.8856; predicted R2 = 0.7567.
fStd Dev: 3.47; Mean: 67.88; R2 = 0.9045; adjusted R2 = 0.8386; predicted R2 = 0.6661.
gStd Dev: 4.0; Mean: 63.43; R2 = 0.8730; adjusted R2 = 0.7855; predicted R2 = 0.5611.
hStd Dev: 3.93; Mean: 58.74; R2 = 0.8800; adjusted R2 = 0.7973; predicted R2 = 0.5789.