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Table 8 Frontier estimation results – inefficiency equation

From: Estimating technical efficiency of Turkish hospitals: implications for hospital reform initiatives

Inefficiency term model

Coef.

Std. Error

Z

P > z

95% Conf. Interval

Hospital type (reference = MoH General Hospitals)

 MoH Integrated County

−0.3087

1.0999

−0.2800

0.7790

−2.4644

1.8471

 MoH Teaching

−10.2968

6.2776

−1.6400

0.1010

−22.6007

2.0070

 Private General

5.7161

1.5593

3.6700

0.0000

2.6598

8.7723

 Private University

5.3802

1.7796

3.0200

0.0030

1.8923

8.8682

 Public University

1.9877

1.3731

1.4500

0.1480

−0.7036

4.6790

Provincial per capita income (reference = less than $5000)

 $ 5001–10,000

1.1581

1.4513

0.8000

0.4250

−1.6864

4.0026

 $ 10,001–15,000

0.1728

1.0065

0.1700

0.8640

−1.7999

2.1455

 $ 15,001–20,000

0.2287

1.1706

0.2000

0.8450

−2.0657

2.5231

 Over $20,000

0.7793

1.2776

0.6100

0.5420

−1.7247

3.2834

Regions (reference = Istanbul)

 West Marmara

0.0169

0.8593

0.0200

0.9840

−1.6673

1.7010

 Aegean

0.3144

0.7433

0.4200

0.6720

−1.1424

1.7712

 East Marmara

0.9828

0.7174

1.3700

0.1710

−0.4232

2.3888

 West Anatolia

1.3406

0.6433

2.0800

0.0370

0.0798

2.6014

 Mediterranean

−0.5174

0.6444

−0.8000

0.4220

−1.7805

0.7456

 Central Anatolia

1.5293

0.9611

1.5900

0.1120

−0.3543

3.4130

 West Black Sea

−0.0208

1.0204

−0.0200

0.9840

−2.0209

1.9792

 East Black Sea

−2.3229

1.7857

−1.3000

0.1930

−5.8228

1.1770

 North East Anatolia

−0.2497

1.7456

−0.1400

0.8860

−3.6711

3.1717

 Central East Anatolia

2.2611

1.0253

2.2100

0.0270

0.2515

4.2708

 South East Anatolia

0.0522

1.3654

0.0400

0.9690

−2.6240

2.7284

Constant

−7.2108

2.6058

−2.7700

0.0060

−12.3182

−2.1035

\( \mathit{\ln}\left({\sigma}_v^2\right) \)

1.0157

0.2782

3.6500

0.0000

0.4704

1.5610

exp(γ)/[exp(γ) + 1]

3.6915

0.2975

12.4100

0.0000

3.1085

4.2745

\( {\sigma}_S^2={\sigma}_v^2+{\sigma}_v^2 \)

2.7613

0.7683

  

1.6006

4.7638

\( \gamma ={\sigma}_u^2/{\sigma}_v^2 \)

0.9757

0.0071

  

0.9572

0.9863

\( {\sigma}_u^2 \)

2.6942

0.7672

  

1.1905

4.1978

\( {\sigma}_v^2 \)

0.0672

0.0086

  

0.0503

0.0840