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Table 5 Efficiency results for the 31 Iranian provinces in terms of road safety performance for the year 2016

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

0.3343

21

0.6657

0.3343

0.4984

21

0.4984

0.5016

0.5985

0.4015

20

Azerbaijan W

0.2812

25

0.7188

0.2812

0.5939

24

0.5939

0.4061

0.6846

0.3154

24

Ardabil

0.4724

16

0.5276

0.4724

0.3188

15

0.3188

0.6812

0.4075

0.5925

16

Isfahan

0.2353

27

0.7647

0.2353

0.6655

26

0.6655

0.3345

0.7494

0.2506

26

Alborz

1.0000

1

0.0000

1.0000

0.1403

2

0.1403

0.8597

0.0491

0.9509

2

Ilam

1.0000

1

0.0000

1.0000

0.1297

1

0.1297

0.8703

0.0452

0.9548

1

Bushehr

0.5236

11

0.4764

0.5236

0.2935

11

0.2935

0.7065

0.3625

0.6375

10

Tehran

0.1575

31

0.8425

0.1575

1.0000

27

1.0000

0.0000

0.9446

0.0554

31

Chaharmahal and Bakhtiari

0.6007

8

0.3993

0.6007

0.2593

7

0.2593

0.7407

0.2991

0.7009

7

Khorasan S

0.6784

5

0.3216

0.6784

0.2279

6

0.2279

0.7721

0.2398

0.7602

5

Khorasan R

0.2047

29

0.7953

0.2047

1.0000

27

1.0000

0.0000

0.9268

0.0732

29

Khorasan N

0.5569

9

0.4431

0.5569

0.2751

8

0.2751

0.7249

0.3326

0.6674

9

Khuzestan

0.4288

18

0.5712

0.4288

0.3861

18

0.3861

0.6139

0.4742

0.5258

18

Zanjan

0.3922

19

0.6078

0.3922

0.3920

19

0.3920

0.6080

0.4999

0.5001

19

Semnan

0.4869

15

0.5131

0.4869

0.3207

16

0.3207

0.6793

0.4001

0.5999

15

Sistan and Baluchistan

0.2079

28

0.7921

0.2079

1.0000

27

1.0000

0.0000

0.9255

0.0745

28

Fars

0.2984

24

0.7016

0.2984

0.5086

22

0.5086

0.4914

0.6259

0.3741

22

Qazvin

0.6651

6

0.3349

0.6651

0.2275

5

0.2275

0.7725

0.2466

0.7534

6

Qom

0.5034

14

0.4966

0.5034

0.2778

9

0.2778

0.7222

0.3647

0.6353

11

Kurdistan

0.3895

20

0.6105

0.3895

1.0000

27

1.0000

0.0000

0.8508

0.1492

27

Kerman

0.2612

26

0.7388

0.2612

0.6127

25

0.6127

0.3873

0.7065

0.2935

25

Kermamshah

0.5306

10

0.4694

0.5306

0.3082

13

0.3082

0.6918

0.3672

0.6328

12

Kohgiluyeh and Boyer-Ahmad

1.0000

1

0.0000

1.0000

0.1602

3

0.1602

0.8398

0.0564

0.9436

3

Golestan

0.6022

7

0.3978

0.6022

0.2835

10

0.2835

0.7165

0.3121

0.6879

8

Guilan

0.4472

17

0.5528

0.4472

0.3637

17

0.3637

0.6363

0.4496

0.5504

17

Lorestan

0.1849

30

0.8151

0.1849

1.0000

27

1.0000

0.0000

0.9343

0.0657

30

Mazandaran

0.5226

13

0.4774

0.5226

0.3085

14

0.3085

0.6915

0.3720

0.6280

14

Markazi

0.3209

22

0.6791

0.3209

0.4957

20

0.4957

0.5043

0.6049

0.3951

21

Hormozgan

1.0000

1

0.0000

1.0000

0.1880

4

0.1880

0.8120

0.0669

0.9331

4

Hamedan

0.3021

23

0.6979

0.3021

0.5386

23

0.5386

0.4614

0.6410

0.3590

23

Yazd

0.5235

12

0.4765

0.5235

0.3038

12

0.3038

0.6962

0.3687

0.6313

13