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. 2019 Jan 28;14(1):e0211317. doi: 10.1371/journal.pone.0211317

Table 10. Endogeneity test for the environmental variables (Z variables) of the stochastic tax frontier model.

Table: Estimation Results
Model EX Model EN
Dep.var: lnvat
Constant 0.343** (-0.123) 0.415** (-0.134)
lnvttl 0.963*** (-0.011) 0.956*** (-0.012)
Dep.var: ln(σ2_u)
Constant 1.712 (-2.293) 4.756 (-3.18)
lncpi -1.032*** (-0.268) -1.417*** (-0.377)
lnshad 0.928* (-0.393) 0.714 (-0.435)
lndocimp 0.732* (-0.316) 0.777* (-0.33)
lncostimp -0.453 (-0.232) -0.520* (-0.22)
lntimeimp -0.637 (-0.367) -0.771* (-0.363)
Dep.var: ln(σ2_v)
Constant -5.449*** (-0.073)
Dep.var: ln(σ2_w)
Constant -5.461*** (-0.073)
eta1 (lncpi) -0.074 (-0.055)
eta2 (lnshad) -0.018 (-0.036)
eta3 (lndocimp) 0.008 (-0.022)
eta Endogeneity Test X2 = 1.83 p = 0.609
Observations 416 416
Log Likelihood 496.61 670.12
Mean Tech Efficiency 0.8462 0.8378
Median Tech Efficiency 0.8826 0.8734

Source: Own calculation. Notes: Standard errors are in parentheses. Asterisks indicate significance at the 0.1% (***), 1% (**) and 5% (*) levels.