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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