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. 2019 Aug 5;9(8):e027539. doi: 10.1136/bmjopen-2018-027539

Table 2.

Bootstrapping estimated efficiency and 95% CIs

Provinces OTE PTE SE
Estimated eff. Bias corrected Lower bound Upper bound Estimated eff. Bias corrected Lower bound Upper bound Estimated eff. Scale efficient RTS
Beijing 0.8091 0.7759 0.7284 0.8075 1.0000 0.9849 0.9667 0.9972 0.8091 Scale inefficient DRS
Tianjin 0.9757 0.9356 0.8804 0.9729 1.0000 0.9868 0.9220 1.0000 0.9757 Scale efficient MPSS
Hebei 0.9260 0.8601 0.7651 0.9137 1.0000 0.9945 0.9706 1.0000 0.9260 Scale efficient MPSS
Shanxi 0.8637 0.7801 0.6799 0.8407 0.9999 0.9973 0.9790 0.9999 0.8638 Scale efficient MPSS
Inner Mongolia 0.7836 0.7435 0.6817 0.7700 0.9999 0.9998 0.9998 0.9999 0.7837 Scale inefficient DRS
Liaoning 0.7150 0.6441 0.5700 0.6893 1.0000 0.9998 0.9986 1.0000 0.7150 Scale inefficient DRS
Jilin 0.8054 0.7566 0.6841 0.7945 0.9999 0.9999 0.9998 0.9999 0.8055 Scale inefficient DRS
Heilongjiang 0.7818 0.6941 0.6033 0.7508 0.9999 0.9998 0.9992 0.9999 0.7819 Scale inefficient DRS
Shanghai 0.8291 0.7952 0.7519 0.8264 1.0000 0.9743 0.9613 0.9859 0.8291 Scale inefficient DRS
Jiangsu 0.8195 0.7840 0.7379 0.8126 1.0000 0.9930 0.9809 0.9992 0.8195 Scale inefficient DRS
Zhejiang 0.8357 0.7885 0.7415 0.8245 1.0000 0.9877 0.9756 0.9964 0.8357 Scale inefficient DRS
Anhui 0.9830 0.9031 0.8060 0.9660 0.9999 0.9830 Scale efficient MPSS
Fujian 0.9471 0.8988 0.8317 0.9336 1.0000 0.9752 0.9371 0.9940 0.9471 Scale efficient MPSS
Jiangxi 1.0000 0.8779 0.7628 0.9438 1.0000 1.0000 Scale efficient MPSS
Shandong 0.8090 0.7458 0.6637 0.7890 1.0000 0.9991 0.9950 1.0000 0.8090 Scale inefficient DRS
Henan 0.8873 0.7934 0.6873 0.8641 1.0000 0.9969 0.9820 0.9999 0.8873 Scale inefficient DRS
Hubei 0.7577 0.6705 0.5829 0.7256 1.0000 0.9997 0.9980 1.0000 0.7578 Scale inefficient DRS
Hunan 0.8835 0.7964 0.6920 0.8641 0.9999 0.9974 0.9812 0.9999 0.8836 Scale efficient MPSS
Guangdong 1.0000 0.9345 0.8750 0.9770 1.0000 1.0000 Scale efficient MPSS
Guangxi 1.0000 0.8911 0.7719 0.9673 1.0000 1.0000 Scale efficient MPSS
Hainan 0.9666 0.9186 0.8530 0.9481 1.0000 0.9916 0.9485 1.0000 0.9667 Scale efficient MPSS
Chongqing 0.8500 0.8097 0.7489 0.8453 1.0000 0.9995 0.9953 0.9999 0.8500 Scale inefficient DRS
Sichuan 0.8068 0.7230 0.6260 0.7910 0.9999 0.9996 0.9964 0.9999 0.8069 Scale inefficient DRS
Guizhou 0.9946 0.8963 0.7748 0.9810 0.9999 0.9947 Scale efficient MPSS
Yunnan 0.9999 0.9225 0.8159 0.9937 0.9999 1.0000 Scale efficient MPSS
Tibet 0.9724 0.9486 0.9099 0.9681 0.9991 0.9979 0.9880 0.9991 0.9733 Scale efficient MPSS
Shaanxi 0.8101 0.7658 0.7045 0.8034 1.0000 0.9996 0.9987 1.0000 0.8102 Scale inefficient DRS
Gansu 0.8947 0.8083 0.7136 0.8713 0.9999 0.9957 0.9691 0.9999 0.8948 Scale inefficient DRS
Qinghai 0.7390 0.7022 0.6551 0.7314 0.9997 0.9997 0.9997 0.9997 0.7392 Scale inefficient DRS
Ningxia 0.8160 0.7791 0.7285 0.8028 0.9998 0.9998 0.9998 0.9998 0.8161 Scale inefficient DRS
Xinjiang 0.7081 0.6685 0.6097 0.7045 0.9996 0.9996 0.9996 0.9996 0.7084 Scale inefficient DRS
Mean 0.8652 0.8022 0.7251 0.8492 0.9999 0.9947 0.9815 0.9988 0.8653

Means statistical inference cannot be provided for some provinces due to too few bootstrap replications where those observations lie within the bootstrap frontier.

DRS, decreasing returns to scale; MPSS, most productive scale size; OTE, overall technical efficiency; PTE, pure technical efficiency, SE, scale efficiency; RTS, returns to scale.