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. 2025 Jan 16;11(2):e41995. doi: 10.1016/j.heliyon.2025.e41995

Table Appendix-B.

Results of ARDL Robustness Check with Alternate Variables and After HAC

Variable Coefficient Std. Error t-Statistic Prob.
Short-Run Robustness with Alternate Variables After HAC

Constant 0.027 0.003 9.000 0.000
Ex(1) −0.814 0.055 −14.800 0.000
FDI 0.087 0.120 0.725 0.116
FDI (−1) 0.042 0.002 21.000 0.001
SR −0.029 0.011 −2.636 0.014
LNFUEL 0.011 0.005 2.200 0.030
REM −0.008 0.106 −0.075 0.186
REM (−1) −0.034 0.014 −2.429 0.010

Long-Run with Alternate Variables After HAC

C −0.028 0.004 −7.000 0.004
FDI 0.032 0.011 2.909 0.001
SR −0.041 0.015 −2.733 0.014
LNFUEL 0.016 0.008 2.000 0.013
REM −0.009 0.005 −1.800 0.067

R-squared 0.431 S.E. of regression 0.0112
Adjusted R-squared 0.428 Sum squared resid 0.0196
F-statistic 19.876 Log likelihood 572.7575
Probe(F-statistic) 0.000 S.D. dependent var 0.0130
Durbin-Watson stat 1.987 Akaike info criterion −6.0083

Selected Model: ARDL (1, 1, 0, 0, 0, 1)
After HAC Case 2: Restricted Constant and No Trend
Model selection method: Akaike info criterion (AIC)
HAC standard errors & covariance (Bartlett kernel, Newey-West fixed bandwidth = 5.0000)