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. 2023 Nov 18;9(11):e22399. doi: 10.1016/j.heliyon.2023.e22399

Table 5.

Stationary tests.

Test
CIPS test Levin-Lin-Chu unit-root test
Harris-Tzavalis unit-root test
Im–Pesaran–Shin test
Hadri LM test
Fisher unit root test
Var. Z-t-tilde-bar Statistic p-value Inverse chi-squared p-value Adjusted t* p-value Z-statistic p-value Z-statistic p-value
Full sample
SE −2.130** −1.128 0.129 4.102 1.000 4.918 1.000 105.1*** 0.000 185.2 0.999
Income −2.164*** −3.269*** 0.001 8.666 1.000 9.805 1.000 124.0*** 0.000 222.1 0.948
Unem −1.726 −5.396*** 0.000 −0.341 0.366 2.125 0.983 72.03*** 0.000 263.5 0.393
Trade −1.898 −4.790*** 0.000 −3.657*** 0.000 −0.937 0.174 81.84*** 0.000 283.6 0.130
FDI −3.178*** −10.02*** 0.000 −19.48*** 0.000 −12.63*** 0.000 11.83*** 0.000 912.6*** 0.000
TR1 −1.482 −6.568*** 0.000 −4.301*** 0.000 −0.906 0.182 80.30*** 0.000 358.9*** 0.000
TR2 −1.748 −6.996*** 0.000 −3.557*** 0.000 −2.033** 0.021 82.67*** 0.000 464.6*** 0.000
TR3 −1.747 −6.176*** 0.000 −8.634*** 0.000 −2.788*** 0.003 62.51*** 0.000 468.5*** 0.000
TR4 −2.201*** −5.084*** 0.000 −3.929*** 0.000 −0.638 0.261 84.48*** 0.000 389.7*** 0.000
TR5 −1.899 −7.977*** 0.000 −8.051*** 0.000 −1.996** 0.023 66.57*** 0.000 483.0*** 0.000
LMEs
SE −2.456*** 0.061 0.524 2.710 0.996 4.393 1.000 66.35*** 0.000 64.43 0.999
Income −1.909 2.005 0.977 0.985 1.000 12.07 1.000 79.55*** 0.000 45.52 1.000
Unem −1.787 −2.624*** 0.004 −0.622 0.266 3.154 0.999 54.39*** 0.000 102.4 0.631
Trade −2.270*** −2.403*** 0.008 −3.847*** 0.000 −0.591 0.277 52.56*** 0.000 119.4 0.212
FDI −3.184*** −5.713*** 0.000 −10.97*** 0.000 −6.678*** 0.000 24.54*** 0.000 305.6*** 0.000
TR1 −2.094** −3.080*** 0.001 −4.230*** 0.000 −0.849 0.197 48.64*** 0.000 143.0** 0.013
TR2 −2.148** −4.587*** 0.000 −1.285* 0.099 −1.881** 0.029 56.73*** 0.000 160.1*** 0.001
TR3 −2.391*** −3.875*** 0.000 −5.193*** 0.000 −2.115** 0.017 43.06*** 0.000 207.5*** 0.000
TR4 −2.337*** −4.612*** 0.000 −2.353*** 0.009 −2.294** 0.011 57.47*** 0.000 139.9** 0.021
TR5 −1.780 −4.604*** 0.000 −9.078*** 0.000 −2.469*** 0.007 32.28*** 0.000 174.6*** 0.000
UMEs
SE −1.998 −1.747** 0.040 1.961 0.975 2.267 0.988 55.18*** 0.000 38.53 0.997
Income −1.666 −5.079*** 0.000 4.481 1.000 5.917 1.000 65.11*** 0.000 23.34 1.000
Unem −2.069* −3.810*** 0.000 0.397 0.654 −0.855 0.196 47.68*** 0.000 75.37 0.201
Trade −1.637 −3.590*** 0.000 −2.259** 0.011 −1.150 0.125 37.41*** 0.000 86.03 0.049
FDI −3.000*** −5.913*** 0.000 −7.818*** 0.000 −6.515*** 0.000 13.69*** 0.000 219.6 0.000
TR1 −2.101* −5.070*** 0.000 −2.675*** 0.003 −2.180** 0.014 39.19*** 0.000 137.9 0.000
TR2 −1.883 −2.078** 0.018 −4.027*** 0.000 −2.533*** 0.006 34.92*** 0.000 159.6 0.000
TR3 −2.100* −2.447*** 0.007 −4.750*** 0.000 −2.058** 0.019 26.77*** 0.000 162.0 0.000
TR4 −2.110** −1.848** 0.032 −2.100** 0.017 −1.054 0.145 41.65*** 0.000 140.3 0.000
TR5 −1.826 −3.510*** 0.000 −0.475 0.317 −0.021 0.491 44.62*** 0.000 155.5 0.000
HIEs
SE −1.689 −0.295 0.383 2.441 0.992 1.629 0.948 60.08 0.000 82.29 0.532
Income −1.885 −5.187 0.000 3.130 0.999 −1.757 0.039 66.06 0.000 153.3*** 0.000
Unem −1.478 −6.117 0.000 −0.455 0.324 0.905 0.817 28.06 0.000 85.65 0.429
Trade −1.725 −2.597 0.005 −0.310 0.378 0.048 0.519 49.67 0.000 78.21 0.657
FDI −3.419*** −6.264 0.000 −11.23*** 0.000 −8.796 0.000 5.829 0.000 387.3*** 0.000
TR1 −2.263*** −3.867 0.000 1.436 0.924 1.307 0.904 55.52 0.000 77.88 0.667
TR2 −2.126** −5.017 0.000 −0.557 0.288 0.815 0.792 51.16 0.000 144.8*** 0.000
TR3 −2.007 −4.334 0.000 −6.150*** 0.000 −0.664 0.253 33.73 0.000 98.97 0.126
TR4 −2.347*** −2.495 0.006 −2.673*** 0.004 2.417 0.992 40.78 0.000 109.4** 0.032
TR5 −2.024 −5.649 0.000 −4.198*** 0.000 −0.679 0.248 34.92 0.000 152.9*** 0.000

Notes: In Pesaran Panel Unit Root Test (CIPS test): H0 (homogeneous non-stationary): bi = 0 for all I; In Im-Pesaran-Shin unit-root test: Ho: All panels contain unit roots, Ha: Some panels are stationary; In Fisher-type unit-root test: Ho: All panels contain unit roots, Ha: At least one panel is stationary; In Levin-Lin-Chu unit-root test: Ho: Panels contain unit roots, Ha: Panels are stationary; In Harris-Tzavalis unit-root test: Ho: Panels contain unit roots, Ha: Panels are stationary; In Hadri LM test: Ho: All panels are stationary, Ha: Some panels contain unit roots. *, **, *** are significant levels at 10 %, 5 %, and 1 %, respectively.