Table 1.
Model Name | HAD | IR-HAD | IR-HAD + HAD | |||||||
---|---|---|---|---|---|---|---|---|---|---|
55 °C | 65 °C | 75 °C | 55 °C | 65 °C | 75 °C | 55 °C | 65 °C | 75 °C | ||
Two-Term | a | 0.5042 | 0.5069 | 0.5180 | 0.9650 | 0.9167 | 1.018 | 0.8539 | 0.8291 | 0.8373 |
MR = aexp (−k × t) + bexp (−k1 × t) | k | 0.0016 | 0.0021 | 0.0027 | 0.0052 | 0.0044 | 0.0091 | 0.0017 | 0.0024 | 0.0048 |
b | 0.5041 | 0.5068 | 0.5177 | 0.1164 | 0.2278 | 0.6357 | 0.8329 | 0.6127 | 0.3396 | |
k1 | 0.0016 | 0.0021 | 0.0027 | 0.9228 | 0.0710 | 0.7537 | 0.6072 | 0.4640 | 0.7922 | |
R 2 | 0.9972 | 0.9987 | 0.9960 | 0.9940 | 0.9955 | 0.9791 | 0.9804 | 0.9796 | 0.9825 | |
RMSE | 0.0198 | 0.0121 | 0.0222 | 0.0185 | 0.0154 | 0.0356 | 0.0355 | 0.0349 | 0.0298 | |
SSE | 6.3 × 10−3 | 2.5 × 10−3 | 9.3 × 10−3 | 5.5 × 10−3 | 3.8 × 10−3 | 7.6 × 10−3 | 2.0 × 10−2 | 2.2 × 10−2 | 7.1 × 10−3 | |
AIC | −118.85 | −144.87 | −157.16 | −206.99 | −176.85 | −58.05 | −132.09 | −138.22 | −79.09 | |
BIC | −127.38 | −152.94 | −163.98 | −213.06 | −183.67 | −73.12 | −139.16 | −145.04 | −90.73 | |
Page | k | 0.0011 | 0.0018 | 0.0010 | 0.0075 | 0.0062 | 0.0061 | 0.0110 | 0.0155 | 0.0174 |
MR = exp (−k × tn) | n | 1.0626 | 1.0997 | 1.1493 | 0.9209 | 0.9741 | 1.0779 | 0.7310 | 0.7276 | 0.7800 |
R 2 | 0.9982 | 0.9987 | 0.9976 | 0.9953 | 0.9959 | 0.9962 | 0.9922 | 0.9908 | 0.9957 | |
RMSE | 0.0146 | 0.0101 | 0.0180 | 0.0191 | 0.0187 | 0.0235 | 0.0230 | 0.0240 | 0.0161 | |
SSE | 5.1 × 10−3 | 3.4 × 10−3 | 6.4 × 10−3 | 7.3 × 10−3 | 6.7 × 10−3 | 3.9 × 10−3 | 9.5 × 10−3 | 1.2 × 10−2 | 3.6 × 10−3 | |
AIC | −130.05 | −146.62 | −171.80 | −205.54 | −170.79 | −77.96 | −154.31 | −157.97 | −97.83 | |
BIC | −135.82 | −152.26 | −177.06 | −210.55 | −176.05 | −85.31 | −159.64 | −163.23 | −104.41 | |
Logarithmic | a | 1.0752 | 1.0519 | 1.1001 | 0.9751 | 1.0048 | 1.0807 | 0.8401 | 0.8209 | 0.8373 |
MR = aexp (−k × t) + b | k | 0.0015 | 0.0020 | 0.0021 | 0.0044 | 0.0047 | 0.0073 | 0.0018 | 0.0026 | 0.0047 |
b | −0.0813 | −0.0441 | −0.1316 | −0.0183 | −0.0374 | −0.1166 | 0.0228 | 0.0225 | 0.0252 | |
R 2 | 0.9997 | 0.9997 | 0.9996 | 0.9952 | 0.9977 | 0.9993 | 0.9826 | 0.9812 | 0.9846 | |
RMSE | 0.0065 | 0.0078 | 0.0074 | 0.0200 | 0.0142 | 0.0141 | 0.0335 | 0.0335 | 0.0236 | |
SSE | 8.6 × 10−4 | 7.8 × 10−4 | 1.1 × 10−3 | 7.6 × 10−3 | 3.6 × 10−3 | 7.4 × 10−4 | 1.9 × 10−2 | 2.1 × 10−2 | 1.2 × 10−2 | |
AIC | −156.83 | −169.76 | −207.52 | −201.68 | −181.44 | −91.01 | −136.66 | −142.64 | −77.84 | |
BIC | −163.77 | −176.44 | −213.48 | −207.19 | −187.40 | −101.28 | −142.77 | −148.60 | −86.45 | |
Henderson-Pabis | a | 1.011 | 1.008 | 1.025 | 0.9645 | 0.9332 | 1.018 | 0.8539 | 0.8291 | 0.8373 |
MR = aexp (−k × t) | k | 0.0017 | 0.0022 | 0.0026 | 0.0052 | 0.0045 | 0.0091 | 0.0016 | 0.0024 | 0.0048 |
R 2 | 0.9973 | 0.9984 | 0.9964 | 0.9947 | 0.9956 | 0.9843 | 0.9826 | 0.9816 | 0.9860 | |
RMSE | 0.0174 | 0.0138 | 0.0211 | 0.0175 | 0.0152 | 0.0294 | 0.0335 | 0.0331 | 0.0266 | |
SSE | 6.3 × 10−3 | 2.5 × 10−3 | 9.3 × 10−3 | 5.5 × 10−3 | 4.2 × 10−3 | 7.6 × 10−3 | 2.0 × 10−2 | 2.2 × 10−2 | 7.1 × 10−3 | |
AIC | −126.46 | −152.16 | −163.58 | −212.90 | −181.07 | −70.62 | −138.68 | −144.64 | −89.00 | |
BIC | −132.23 | −157.79 | −168.83 | −217.91 | −186.32 | −77.97 | −144.01 | −149.89 | −95.58 |
HAD, hot air drying; IR-HAD, combined infrared and hot air drying; IR-HAD + HAD, sequential IR-HAD and HAD.