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. 2023 Jun 8;18(6):e0286842. doi: 10.1371/journal.pone.0286842

Table 4. Endogenous treatment.

Variables Model 1 Model 2 Model 3 Model 4 Model 5 Model 6
GVCP APL GVCP GVCP APL APL
L.GVCP 0.9565*** 0.9586***
(21.6302) (25.2422)
L.APL 0.9566*** 0.9581***
(21.6245) (25.0446)
ROD 0.0058*** 0.0058*** 0.0075** 0.0056** 0.0076** 0.0057**
(6.3188) (6.3031) (2.0533) (2.3650) (2.1009) (2.4420)
EPR 0.0325* 0.0324* -0.0495 -0.0351 -0.0515 -0.0353
(1.7964) (1.7928) (-0.5535) (-0.5413) (-0.5834) (-0.5591)
PGDP 0.0449*** 0.0449*** -0.0147 -0.0110 -0.0145 -0.0108
(3.3571) (3.3595) (-1.0019) (-1.0660) (-0.9484) (-1.0980)
TAF -0.0123*** -0.0123*** -0.0264 -0.0139 -0.0252 -0.0127
(-3.6530) (-3.6530) (-1.4022) (-1.1560) (-1.2781) (-1.0909)
REX -0.0369*** -0.0366*** -0.0544 -0.0244 -0.0528 -0.0232
(-5.3424) (-5.2973) (-0.7783) (-0.6236) (-0.7509) (-0.5934)
IEF 0.0268 0.0255 0.0008 0.0227 -0.0012 0.0230
(0.9174) (0.8710) (0.0091) (0.3310) (-0.0146) (0.3229)
EMP -0.0158*** -0.0159*** 0.0105 0.0082 0.0101 0.0076
(-3.4025) (-3.4355) (1.1772) (1.3229) (1.0716) (1.1535)
EXP -0.0049** -0.0048** 0.0021 0.0025 0.0019 0.0019
(-2.2273) (-2.2058) (0.3376) (0.5348) (0.3129) (0.4089)
IMP -0.0223*** -0.0223*** 0.0170 0.0096 0.0172 0.0099
(-5.0319) (-5.0383) (0.7407) (0.5736) (0.7660) (0.5610)
Constant 0.4632 0.2446 0.4667 0.2423
(0.8858) (0.7341) (0.8951) (0.7612)
National YES YES YES YES YES YES
Industry YES YES YES YES YES YES
Year YES YES YES YES YES YES
Kleibergen-Paap rk LM 584.925 [0.000]
Cragg-Donald Wald F 1.6e+04 [19.93]
Kleibergen-Paap rk Wald F 567.104 [19.93]
Hansen J test 4.595 [0.0321]
AR (1) P 0.000 0.000 0.000 0.000
AR (2) P 0.388 0.324 0.372 0.310
Hansen P 0.463 0.463 0.525 0.525
N 8892 8892 9576 9576 9576 9576
R2 0.0213 0.0213

Notes: P-values are reported in square brackets [] below the Kleibergen-Paap rk LM test and Hansen J test, and critical values at the Stock-Yogo 10% level are reported in square brackets [] below the Cragg-Donald Wald F test and Kleibergen-Paap rk Wald F test.