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. 2022 Oct 25;30(9):22145–22158. doi: 10.1007/s11356-022-23650-0

Table 7.

Dynamic panel data regression and unbiased test

Proxy of predictor GDP GDP GDP GDP OLS-RSE COV COV COV COV
LSDV-RSE FD-GMM SYS-GMM LSDV -RSE FD-GMM SYS-GMM OLS-RSE
Constant *** − 295.437 * 208.794  − 76.007 2.42 *** − 292.810 * 207.980  − 80.625  − 1.444
 − 118.375  − 158.821  − 83.786  − 16.98 -s117.716  − 159.421  − 82.704  − 16.536
TC  − 0.446 * 0.027 *** 0.049 *** 0.282  − 0.446 * 0.027 *** 0.049 *** 0.282
 − 0.063  − 0.021  − 0.017  − 0.058  − 0.063  − 0.021  − 0.017  − 0.058
ERM * 46.056  − 24.308 ** − 76.599 * − 78.078 ––––– ––––– ––––– –––––
-75.16 -43.989 -40.249 -52.182
GS ––––– ––––– ––––– –––––  − 2.718 1.926 ** 5.569 * 6.031
 − 5.369  − 3.155  − 2.898  − 3.584
UB *** 0.181 *** 0.227 *** 0.233 *** 0.185 *** 0.181 *** 0.227 *** 0.233 *** 0.185
 − 0.032  − 0.021  − 0.016  − 0.023  − 0.032  − 0.021  − 0.016  − 0.023
CRF 3.078 *** 9.812 *** 9.472 2.248 3.073 *** 9.802 *** 9.450 2.246
 − 2.936  − 2.556  − 2.069  − 2.349  − 2.942  − 2.57  − 2.078  − 2.351
WS ** 3.652  − 0.333  − 0.659 *** 4.055 ** 3.647  − 0.346  − 0.662 *** 4.059
 − 1.977  − 0.819  − 0.853  − 0.996  − 1.977  − 0.819  − 0.853  − 0.996
EI ** 18.502 ** − 21.485 5.673 0.027 ** 18.664 ** − 21.395 5.847 0.018
 − 8.739  − 12.856  − 5.745  − 1.137  − 8.747  − 12.873  − 5.713  − 1.136
CA 0.578 ** 3.289  − 0.274  − 0.061 0.498 ** 3.239  − 0.326  − 0.061
 − 1.429  − 1.474  − 0.593  − 0.067  − 1.444  − 1.468  − 0.593  − 0.067
Number of groups 212 212 212 ––––– 212 212 212 –––––
Number of instruments ––––– 22 27 ––––– ––––– 22 27 –––––
Wald χ2
––––– *** 135.940 *** 269.660 ––––– ––––– *** 135.940 *** 269.250 –––––
R2
0.359 ––––– ––––– 0.555 0.361 ––––– ––––– 0.555
F-statistics *** 9.440 ––––– ––––– *** 60.190 *** 9.400 ––––– ––––– *** 58.842

A robust standard error is larger than the standard error. If we use one-tailed statistics, then (*) has a significance level of = 10%, (**) of = 5%, and (***) of = 1%