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Table 8 Temperature-based models and their coefficients with error test values

From: Global solar radiation estimation from commonly available meteorological data for Bangladesh

Model no. Equations a b c d \(R^2\) MPE MBE RMSE MARE t stat
30 \(H/H_0 = a[1-\hbox {exp}(-b(\Delta T)^{\mathrm{c}})]\) 6.842 0.02002 0.59 0.8637 0.317626 −0.00023 0.171864 0.038084 0.004467
31 \(H/H_0 = a \times \hbox {exp}(b \Delta T)\) 0.2525 0.07019 0.8961 0.197066 0.006198 0.167799 0.036362 0.122597
32 \(H/H_0 = a[1-\hbox {exp}(-b(\Delta T)^a)]\) 0.8347 0.1412 - 0.8811 1.477691 −0.04888 0.185846 0.037303 0.904051
33 \(H/H_0 = a \times \hbox {exp}(b \Delta T) + c \times exp(d \Delta T)\) 0.2531 0.06996 −1.907 −1.381 0.8961 0.192121 0.006394 0.167813 0.036402 0.12647
34 \(H/H_0 = a(\Delta T^{0.5})\) 0.1596 0.8784 0.131653 0.008627 0.193591 0.038634 0.147948
35 \(H/H_0 = a(\Delta T^{0.5})+b\) 0.1761 −0.04091 0.8845 1.44731 −0.0472 0.181962 0.036747 0.89087
36 \(H/H_0 = a\Delta T^{\mathrm{b}}\) 0.1381 0.569 0.8919 0.196359 0.00489 0.171956 0.038205 0.094353
37 \(H/H_0 = a\Delta T^{\mathrm{b}}+c\) 0.004524 1.679 0.2933 0.8959 0.197305 0.00627 0.167929 0.036417 0.123925
38 \(H/H_0 = a\Delta T^2 + b\Delta T + c\) 0.001263 0.01089 0.2741 0.896 0.194758 0.00637 0.167952 0.036419 0.12589
39 \(H/H_0 = a\Delta T^3 + b\Delta T^2 + c\Delta T + d\) 0.0009056 −0.02235 0.2108 −0.2714 0.8984 0.263633 0.003942 0.169964 0.036145 0.076945