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Table 2 Maximum likelihood estimates of classical and spatial stochastic frontier models, 2007–08, India

From: Inefficiency, heterogeneity and spillover effects in maternal care in India: a spatial stochastic frontier analysis

  MODEL 1 MODEL 2 MODEL 3 MODEL 4
Production function     
  Constant 0.8616 (0.0705)*** 1.2178 (0.0652)*** 1.7013 (0.0799)*** 1.6790 (0.0794)***
  x1 0.0822 (0.0282)*** 0.0481 (0.0237)** 0.0746 (0.0238)*** 0.0804 (0.0244)***
  x2 0.1080 (0.0346)*** 0.1532 (0.0281)*** 0.1044 (0.0268)*** 0.1201 (0.0266)***
  x3 0.1587 (0.0378)*** 0.0426 (0.0343) −0.0207 (0.0344) −0.0180 (0.0343)
  x4 0.1557 (0.0351)*** 0.0651 (0.0292)** 0.0814 (0.0274) *** 0.0857 (0.0280) ***
  γ (Heterogeneity index)   −0.8317 (0.0566)*** −0.6972 (0.0573)*** −0.8623 (0.0559)***
  ρ (Lagged output)    0.4588 (0.0493) ***  
  φ (Inefficiency lag)     0.4465 (0.0462) ***
Inefficiency     
  Constant −0.2091 (0.2024) −0.2193 (0.1780) −0.7763 (0.2226)*** −0.9486 (0.2570)***
  z1 0.6349 (0.1175)*** 0.4457 (0.1014)*** 0.3972 (0.1087)*** 0.3827 (0.1134)***
  z2 −0.6651 (0.1432)*** −0.6417 (0.1236)*** −0.9082 (0.1868)*** −0.9945 (0.2186)***
  z3 −0.0874 (0.1114) −0.0305 (0.1011) −0.1132 (0.1123) −0.1043 (0.1170)
Predicted mean inefficiency 0.4709 0.4592 0.3950 0.3756
Distributions of u and v     
  δu 1.0664 0.9989 0.7995 0.7437
  δv 0.4536 0.3088 0.3626 0.3852
  λ 2.35 3.24 2.2049 1.9307
Log likelihood −549.2938*** −468.0001*** −426.2494*** −423.7609***
N 499 499 499 499
  1. Notes: Estimated standard errors in parenthesis. *** Indicates statistical significance at 99% level and ** indicates significance at 95% level.