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Table 6 Correlation coefficients of quadratic model for sunshine duration estimation from cloud fraction and statistical error tests of different stations of Zone 2

From: Estimation of solar radiation from cloud cover data of Bangladesh

Stations

Model

a

b

c

R 2

MPE

MBE

MARE

RMSE

t-stat

Faridpur

Regional

0.4923

0.1793

0.2518

0.9355

−1.5308

0.0807

0.0412

0.3255

0.8489

Zone 2

0.5102

0.0911

0.2703

0.9514

2.1836

−0.1116

0.0375

0.2826

1.4264

Countrywide

0.4548

0.1851

0.2385

0.9359

2.6308

−0.1623

0.0384

0.3247

1.9139

Dhaka

Regional

0.7772

−0.1561

0.2823

0.9585

0.1666

0.0000

0.0368

0.2820

0.0000

Zone 2

0.5102

0.0911

0.2703

0.8751

−5.0073

0.3470

0.0612

0.4894

3.3349

Countrywide

0.4548

0.1851

0.2385

0.8672

−4.8924

0.3180

0.0637

0.5046

2.6918

Ishurdi

Regional

0.6081

0.0356

0.2713

0.9126

0.3645

−0.0338

0.0401

0.3831

0.2940

Zone 2

0.5102

0.0911

0.2703

0.9190

1.0880

−0.0549

0.0433

0.3688

0.4994

Countrywide

0.4548

0.1851

0.2385

0.8837

1.5396

−0.1044

0.0476

0.4420

0.8062

Tangail

Regional

0.5286

0.0904

0.3090

0.9152

1.4147

−0.0402

0.0538

0.3871

0.3470

Zone 2

0.5102

0.0911

0.2703

0.7352

10.5005

−0.5564

0.1053

0.6845

4.6278

Countrywide

0.4548

0.1851

0.2385

0.7047

10.9350

−0.6054

0.1093

0.7227

5.0868

Srimangal

Regional

0.6081

0.0356

0.2713

0.7843

8.3236

−0.4115

0.0931

0.6273

2.8828

Zone 2

0.5102

0.0911

0.2703

0.7496

8.6157

−0.4109

0.1012

0.6759

2.5393

Countrywide

0.4548

0.1851

0.2385

0.7721

9.0217

−0.4599

0.0965

0.6447

3.3764

Rajshahi

Regional

0.6081

0.0356

0.2713

0.9384

1.0918

−0.0559

0.0408

0.3268

0.5761

Zone 2

0.5102

0.0911

0.2703

0.9293

1.5105

−0.0615

0.0435

0.3501

0.5920

Countrywide

0.4548

0.1851

0.2385

0.9233

2.1406

−0.1253

0.0420

0.3646

1.2136

Mymenshingh

Regional

0.4640

0.1468

0.2892

0.8973

−1.5783

0.0525

0.0577

0.3751

0.4693

Zone 2

0.5102

0.0911

0.2703

0.8450

5.1715

−0.3305

0.0530

0.4608

3.4153

Countrywide

0.4548

0.1851

0.2385

0.7744

5.4347

−0.3680

0.0577

0.5559

2.9286

Sylhet

Regional

0.4726

0.1837

0.1811

0.9696

1.4943

−0.0670

0.0428

0.2979

0.7662

Zone 2

0.5102

0.0911

0.2703

0.8629

−8.6237

0.5557

0.0929

0.6327

6.0960

Countrywide

0.4548

0.1851

0.2385

0.8685

−9.0145

0.5502

0.0918

0.6195

6.4128

Bogra

Regional

0.4225

0.3023

0.1872

0.9447

0.7061

−0.0651

0.0400

0.3342

0.6587

Zone 2

0.5102

0.0911

0.2703

0.9368

−0.5272

0.0957

0.0428

0.3573

0.9225

Countrywide

0.4548

0.1851

0.2385

0.9569

−0.0382

0.0379

0.0384

0.2950

0.4306

Dinajpur

Regional

0.5734

0.0398

0.2962

0.8849

3.6956

−0.2112

0.0578

0.4080

2.0072

Zone 2

0.5102

0.0911

0.2703

0.7796

7.4499

−0.4435

0.0778

0.5646

4.2089

Countrywide

0.4548

0.1851

0.2385

0.7421

8.3670

−0.5273

0.0836

0.6109

5.6691

Syedpur

Regional

0.6081

0.0356

0.2713

0.9194

2.5952

−0.1678

0.0448

0.3230

2.0160

Zone 2

0.5102

0.0911

0.2703

0.9168

3.0251

−0.1768

0.0462

0.3282

2.1209

Countrywide

0.4548

0.1851

0.2385

0.8961

3.5404

−0.2300

0.0509

0.3666

2.6720

Rangpur

Regional

0.4192

0.1653

0.2615

0.7947

6.5107

−0.3662

0.0771

0.5369

3.0928

Zone 2

0.5102

0.0911

0.2703

0.7938

6.6344

−0.3794

0.0764

0.5380

3.2992

Countrywide

0.4548

0.1851

0.2385

0.7547

7.2168

−0.4364

0.0772

0.5868

3.6901