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Table 4 Efficiency results for the 31 Iranian provinces in terms of road safety performance for the year 2015

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

0.2863

23

0.7137

0.2863

0.5547

22

0.5547

0.4453

0.6595

0.3405

21

Azerbaijan W

0.2927

22

0.7073

0.2927

0.5420

20

0.5420

0.4580

0.6485

0.3515

20

Ardabil

0.3970

16

0.6030

0.3970

0.3788

15

0.3788

0.6212

0.4890

0.5110

15

Isfahan

0.2740

25

0.7260

0.2740

0.6164

23

0.6164

0.3836

0.7012

0.2988

23

Alborz

1.0000

1

0.0000

1.0000

0.1438

1

0.1438

0.8562

0.0503

0.9497

1

Ilam

1.0000

1

0.0000

1.0000

0.2667

4

0.2667

0.7333

0.0976

0.9024

3

Bushehr

0.5171

8

0.4829

0.5171

0.2917

7

0.2917

0.7083

0.3651

0.6349

8

Tehran

0.4281

12

0.5719

0.4281

0.3260

11

0.3260

0.6740

0.4381

0.5619

12

Chaharmahal and Bakhtiari

1.0000

1

0.0000

1.0000

0.2880

6

0.2880

0.7120

0.1062

0.8938

5

Khorasan S

0.5001

9

0.4999

0.5001

0.3232

10

0.3232

0.6768

0.3939

0.6061

9

Khorasan R

0.1673

30

0.8327

0.1673

1.0000

25

1.0000

0.0000

0.9409

0.0591

30

Khorasan N

0.4571

11

0.5429

0.4571

0.3426

12

0.3426

0.6574

0.4309

0.5691

11

Khuzestan

1.0000

1

0.0000

1.0000

0.2938

8

0.2938

0.7062

0.1086

0.8914

6

Zanjan

0.3010

21

0.6990

0.3010

0.5300

19

0.5300

0.4700

0.6367

0.3633

19

Semnan

0.3173

18

0.6827

0.3173

0.4899

17

0.4899

0.5101

0.6037

0.3963

17

Sistan and Baluchistan

0.2136

28

0.7864

0.2136

1.0000

25

1.0000

0.0000

0.9233

0.0767

28

Fars

0.2824

24

0.7176

0.2824

0.5508

21

0.5508

0.4492

0.6596

0.3404

22

Qazvin

0.4634

10

0.5366

0.4634

0.3172

9

0.3172

0.6828

0.4118

0.5882

10

Qom

0.4203

14

0.5797

0.4203

1.0000

25

1.0000

0.0000

0.8371

0.1629

25

Kurdistan

0.2615

26

0.7385

0.2615

1.0000

25

1.0000

0.0000

0.9045

0.0955

27

Kerman

0.1914

29

0.8086

0.1914

1.0000

25

1.0000

0.0000

0.9319

0.0681

29

Kermamshah

0.4265

13

0.5735

0.4265

0.3623

14

0.3623

0.6377

0.4612

0.5388

13

Kohgiluyeh and Boyer-Ahmad

1.0000

1

0.0000

1.0000

0.2386

2

0.2386

0.7614

0.0864

0.9136

2

Golestan

0.4128

15

0.5872

0.4128

0.3534

13

0.3534

0.6466

0.4640

0.5360

14

Guilan

0.3162

19

0.6838

0.3162

0.4900

18

0.4900

0.5100

0.6044

0.3956

18

Lorestan

0.1672

31

0.8328

0.1672

1.0000

25

1.0000

0.0000

0.9410

0.0590

31

Mazandaran

0.3851

17

0.6149

0.3851

0.3989

16

0.3989

0.6011

0.5084

0.4916

16

Markazi

0.3026

20

0.6974

0.3026

1.0000

25

1.0000

0.0000

0.8878

0.1122

26

Hormozgan

1.0000

1

0.0000

1.0000

0.2685

5

0.2685

0.7315

0.0983

0.9017

4

Hamedan

0.2295

27

0.7705

0.2295

0.7268

24

0.7268

0.2732

0.7844

0.2156

24

Yazd

0.6286

7

0.3714

0.6286

0.2410

3

0.2410

0.7590

0.2735

0.7265

7

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