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Table 3 Efficiency results for the 31 Iranian provinces in terms of road safety performance for the year 2014

From: DEA Malmquist productivity index based on a double-frontier slacks-based model: Iranian road safety assessment

Province

Optimistic SBM

Pessimistic SBM

Safety performance

  

Assessment distribution

  

Assessment distribution

Assessment distribution

 

T optimistic

Rank

H 1

H 2

\( {\tau}_{pessimistic} \)

Rank

H 1

H 2

H 1

H 2

Rank

Azerbaijan E

0.2828

24

0.7172

0.2828

0.4346

24

0.4346

0.5654

0.5921

0.4079

24

Azerbaijan W

0.3427

21

0.6573

0.3427

0.3506

21

0.3506

0.6494

0.5048

0.4952

21

Ardabil

0.2414

27

0.7586

0.2414

1.0000

29

1.0000

0.0000

0.9125

0.0875

29

Isfahan

0.3308

22

0.6692

0.3308

0.3659

22

0.3659

0.6341

0.5211

0.4789

22

Alborz

1.0000

1

0.0000

1.0000

0.1093

1

0.1093

0.8907

0.0378

0.9622

1

Ilam

1.0000

1

0.0000

1.0000

0.2083

9

0.2083

0.7917

0.0746

0.9254

7

Bushehr

0.4626

17

0.5374

0.4626

0.2500

15

0.2500

0.7500

0.3715

0.6285

16

Tehran

1.0000

1

0.0000

1.0000

0.1832

8

0.1832

0.8168

0.0650

0.9350

6

Chaharmahal and Bakhtiari

0.6986

9

0.3014

0.6986

0.2250

12

0.2250

0.7750

0.2277

0.7723

11

Khorasan S

1.0000

1

0.0000

1.0000

0.1640

5

0.1640

0.8360

0.0578

0.9422

4

Khorasan R

0.2126

29

0.7874

0.2126

0.5686

28

0.5686

0.4314

0.7103

0.2897

28

Khorasan N

0.6563

11

0.3437

0.6563

0.1787

6

0.1787

0.8213

0.2245

0.7755

10

Khuzestan

1.0000

1

0.0000

1.0000

0.1816

7

0.1816

0.8184

0.0644

0.9356

5

Zanjan

0.2332

28

0.7668

0.2332

0.5059

27

0.5059

0.4941

0.6634

0.3366

27

Semnan

0.4515

18

0.5485

0.4515

0.2536

16

0.2536

0.7464

0.3801

0.6199

17

Sistan and Baluchistan

0.1287

31

0.8713

0.1287

1.0000

29

1.0000

0.0000

0.9552

0.0448

31

Fars

1.0000

1

0.0000

1.0000

0.2540

17

0.2540

0.7460

0.0925

0.9075

8

Qazvin

1.0000

1

0.0000

1.0000

0.1238

3

0.1238

0.8762

0.0430

0.9570

3

Qom

0.5263

12

0.4737

0.5263

0.2118

10

0.2118

0.7882

0.3124

0.6876

12

Kurdistan

0.2649

25

0.7351

0.2649

0.4707

25

0.4707

0.5293

0.6242

0.3758

25

Kerman

0.2856

23

0.7144

0.2856

0.4260

23

0.4260

0.5740

0.5853

0.4147

23

Kermamshah

0.3804

20

0.6196

0.3804

0.2866

20

0.2866

0.7134

0.4425

0.5575

20

Kohgiluyeh and Boyer-Ahmad

0.4649

15

0.5351

0.4649

0.2686

18

0.2686

0.7314

0.3814

0.6186

18

Golestan

0.4712

14

0.5288

0.4712

0.2330

14

0.2330

0.7670

0.3562

0.6438

14

Guilan

0.3988

19

0.6012

0.3988

0.2752

19

0.2752

0.7248

0.4245

0.5755

19

Lorestan

0.1545

30

0.8455

0.1545

1.0000

29

1.0000

0.0000

0.9457

0.0543

30

Mazandaran

0.5023

13

0.4977

0.5023

0.2171

11

0.2171

0.7829

0.3290

0.6710

13

Markazi

0.4632

16

0.5368

0.4632

0.2301

13

0.2301

0.7699

0.3590

0.6410

15

Hormozgan

1.0000

1

0.0000

1.0000

0.1199

2

0.1199

0.8801

0.0416

0.9584

2

Hamedan

0.2456

26

0.7544

0.2456

0.4794

26

0.4794

0.5206

0.6409

0.3591

26

Yazd

0.6968

10

0.3032

0.6968

0.1633

4

0.1633

0.8367

0.1960

0.8040

9

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