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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