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. 2022 Mar 10;17(3):e0264825. doi: 10.1371/journal.pone.0264825

Table 5. Comparison of R2 and AIC criteria of data sets using Bootstrap resampling of empirical/semiempirical models and polynomial equations.

No. Zero order First order Korsmeyer-Peppas 100% Korsmeyer-Peppas 60% Weibull Hyperbolic Tangent 2nd order 3rd order 4th order 5th order
R2 AIC R2 AIC R2 AIC R2 AIC R2 AIC R2 AIC R2 AIC R2 AIC R2 AIC R2 AIC
1 0.68 52.37 0.36 -13.25 0.87 -22.41 0.97 -15.19 0.91 -19.73 0.87 -30.68 0.68 51.5 0.88 49.26 0.68 52.37 0.99 43.16
2 0.68 49.29 0.4 -16.81 0.87 -26.1 0.93 -17.39 0.91 -23.15 0.85 -33.52 0.68 48.32 0.89 45.61 0.68 49.29 1 34.25
3 0.8 57.58 0.54 -23.17 0.98 -55.41 0.97 -52.27 0.99 -58.6 0.96 -67.24 0.8 47.17 0.95 41.68 0.97 34.76 0.97 34.76
4 0.94 23.08 0.85 -11.21 0.98 -15.09 0.95 -16.98 0.99 -20.95 0.9 -23.3 0.97 16.52 1 15.91 Insufficient data Insufficient data
5 0.9 22.02 0.79 -11.23 0.88 -14.28 0.88 -14.28 0.96 -15.43 0.98 -23.3 0.94 16.73 1 18.36
6 0.85 41.55 0.57 -4.86 0.96 -19.35 0.97 -16.73 0.99 -25.41 0.99 -40.32 0.91 40.17 0.72 35.17
7 0.81 11.62 1 -14.96 0.81 -18.13 Insufficient data Insufficient data
8 0.65 20.41 1 -3.8 0.65 -5.61
9 0.79 19.35 1 -3.45 0.79 -5.71
10 0.74 31.81 0.6 -2.4 0.92 -8.9 0.96 -9.23 0.98 -19.73 0.99 25.93 1 -12.11
11 0.9 28.02 0.72 -3.73 0.97 -13.21 0.99 -12.99 0.98 -14.29 0.92 -23.07 0.99 19.53 1 16.45
12 0.88 55.86 0.59 -14.24 0.94 -28.71 0.83 -13.82 0.96 -22.1 0.96 -34.88 0.88 55.86 0.88 55.86 0.95 53.42 0.99 55.05
13 0.84 51.58 0.61 -20.64 0.98 -46.53 0.98 -46.53 0.98 -44.79 0.95 -58.51 0.84 36.89 0.98 23.08 0.84 51.58 0.99 24.32
14 0.78 43.26 0.59 -19.31 0.97 -37.38 0.97 -20.61 0.99 37.02 0.96 -34.36 0.78 35.05 0.78 35.05 0.78 43.26 0.78 43.26
15 0.73 43.82 0.52 -20.38 0.95 -35.01 1 -15.4 0.98 -33.11 0.94 -30.69 0.73 43.82 0.73 43.82 0.73 43.82 1 17.25
16 0.81 38.89 0.63 -24.77 0.97 -43.47 1 -21.1 0.99 -41.73 0.97 -40.7 0.81 38.89 0.81 38.89 1 28.45 1 19.47
17 0.74 39.87 0.55 -26.04 0.96 -41.2 1 -26.82 0.98 -38.34 0.94 -33.19 0.74 35.13 0.96 32.44 1 22.35 1 9.29
18 0.62 43.12 0.34 2.89 0.6 2.19 Insufficient data 0.47 3.38 0.82 -3.66 0.54 40.22 0.78 42.18 1 40.35 Insufficient data
19 0.68 49.6 0.32 4.16 0.63 2.7 1 -2.91 0.57 3.32 0.86 -4.56 0.55 46.33 0.97 28.38 1 22.12 1 12.73
20 0.88 48.86 0.65 -28.16 0.98 -64.15 0.98 -64.15 0.98 -62.8 0.99 -100.1 0.88 10.63 0.99 -1.9 0.79 48.86 0.99 1.79
21 0.94 30.67 0.78 -4.34 0.98 -69.71 0.98 -69.71 0.98 -64.97 0.99 -121.2 0.94 -30.87 0.99 -34.67 0.94 30.67 0.94 30.67
22 0.92 40.25 0.73 -38.65 0.98 -66.99 0.98 -66.99 0.98 -61.11 0.99 -104.6 0.92 7.98 0.92 40.25 0.99 8.37 0.99 -2.97
23 0.93 45.66 0.77 -43.02 0.98 -74.29 0.98 -74.29 0.98 -64.26 0.98 -103.8 0.93 -2.83 0.93 45.66 0.99 -3.81 0.93 45.66
24 0.9 42.3 0.71 -38.52 0.99 -81.26 0.99 -81.26 0.99 -79.78 0.98 -109.2 0.9 12.9 0.9 12.9 0.9 12.9 0.9 12.9
25 0.95 43.41 0.79 -41.53 0.98 -74.89 0.98 -74.89 0.98 -63.79 0.98 -107.4 0.95 3.08 0.95 43.41 0.95 43.41 0.95 43.41
26 0.92 27.36 0.79 -46.52 0.95 -54.72 Insufficient data 0.92 -32.7 0.98 -38.03 0.92 27.36 0.92 27.36 0.92 27.36 1 8.18
27 0.85 27.68 0.7 -21.56 0.96 -31.3 0.98 -27.57 0.98 -26.98 0.85 26.4 0.88 21.39 1 5.42 Insufficient data
28 0.85 32.68 0.66 -11.72 0.96 -21.91 1 -16.76 0.97 -20.11 0.97 -23.01 0.85 27.86 0.99 10.53 1 22.83
29 0.86 29.37 0.67 -13.71 0.95 -22.55 0.98 -15.33 0.97 -22.12 0.95 -29.74 0.86 27.44 0.95 32.93 1 21.04
30 0.9 24.04 0.72 -16.39 0.98 -29.01 0.98 -29.01 0.98 -28.44 0.96 -35.77 0.9 21.42 0.9 24.04 1 -5.4
31 0.86 33.03 0.69 -26.95 0.97 -40.84 0.94 -23.68 0.98 -38.61 0.95 -44.25 0.86 33.03 0.86 33.03 1 26.09 1 24.84
32 0.84 34.88 0.66 -24.77 0.96 -37.54 0.93 -16.67 0.97 -35.32 0.94 -41.95 0.84 34.88 0.84 34.88 1 27.35 1 26.26
33 0.93 22.81 0.8 -9.06 0.97 -19.02 0.97 -19.02 0.98 -20.4 0.99 -41.9 0.93 22.81 0.99 17.67 1 8.1 Insufficient data
34 0.66 55.04 0.41 -15.52 0.87 -24.93 0.99 -22.07 0.92 -20.17 0.93 -22.17 0.92 -20.17 0.97 46.08 0.98 28.11 0.99 -30.1
35 0.97 31.63 0.87 -25.13 0.99 -56.11 0.99 -27.24 0.96 -21.88 0.63 -13.82 0.97 14.9 0.97 31.63 1 6.42 1 15.4
36 0.9 33.26 0.75 -13.22 0.96 -22.25 Insufficient data 0.67 -6.83 0.94 -10 0.91 33.16 0.98 26.31 0.98 28.11 Insufficient data
37 0.99 4.43 0.99 -19.04 0.98 -19.04 0.98 -19.04 0.98 -17.37 0.94 -33.26 0.92 13.43 Insufficient data
38 0.88 30.05 0.65 -11.62 0.96 -23.28 0.96 -23.28 0.87 3.96 0.94 -43.54 0.94 17.63 0.95 16.92 0.99 18.77 1 14.79
39 0.87 30.89 0.66 -11.81 0.97 -25.36 0.97 -25.36 0.84 4.52 0.94 -44.54 0.8 30.89 0.8 30.89 1 4.6 1 7.4
40 0.77 33.1 0.49 3.2 0.9 -4.81 0.9 -4.81 0.91 -4.8 0.94 -42.81 0.77 33.1 0.77 33.1 0.99 17.96 1 15.92