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Table 5 Combined sunshine duration and other meteorological parameter-based proposed 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 \(R^{2}\) MPE MBE RMSE MARE t stat
13 \(H/H_0=a(S/S_0)^{\mathrm{b}}+cC\) 1.339 3.267 0.4219 0.9146 0.066105 0.006986 0.171177 0.037596 0.135465
14 \(H/H_0=a(S/S_0)^2+bC^2\) 1.006 0.4028 0.9023 0.295246 0.006515 0.188949 0.038023 0.114425
15 \(H/H_0 = a(S/S_0)^5+bP^c\) 1.41 0.1989 0.1082 0.8997 0.215373 0.00887 0.197046 0.039099 0.149449
16 \(H/H_0=a(S/S_0)^3+P/b\) 1.4113 1.131 0.8976 −0.00125 0.007672 0.189384 0.04183 0.134476
17 \(H/H_0=a(S/S_0)^{\mathrm{b}}+cH_0\) 0.9802 3.555 0.03149 0.906 −0.27016 0.000564 0.191613 0.035362 0.009765
18 \(H/H_0=a(S/S_0)^{\mathrm{b}}+c\sqrt{H_0}\) 0.8906 3.988 0.1102 0.9352 0.195275 0.000947 0.154964 0.032697 0.020278
19 \(H/H_0=a(S/S_0)^{\mathrm{b}}+c\Delta T^2\) 0.3834 0.162 0.001501 0.9063 0.15129 0.012653 0.152788 0.030127 0.275613
20 \(H/H_0=a(S/S_0)+b\sqrt{\Delta T}\) 0.1133 0.1377 0.8994 0.174281 0.01076 0.159612 0.033007 0.224097
21 \(H/H_0=a\sqrt{(S/S_0)}+a\sqrt{\Delta T}\) 0.1274 0.8872 0.607408 −0.00757 0.179579 0.037655 0.139899