Skip to main content
. 2021 Sep 20;322:129050. doi: 10.1016/j.jclepro.2021.129050

Table 5.

Panel cointegration tests.

LPI = f (HDI, LGFCF, LLF, LP, LUP, LTO)
Kao's residual cointegration test
Modified Dickey-Fuller t 2.4548*** (0.0070)
Dickey-Fuller t 0.3885 (0.3488)
Augmented Dickey-Fuller t −3.1532*** (0.0008)
Unadjusted modified Dickey-Fuller t −6.9415*** (0.0000)
Unadjusted Dickey-Fuller t −7.0807*** (0.0000)
Pedroni's test for cointegration
Tests Constant Constant and trend
Modified Phillips-Perron t 7.6937*** (0.0000) 8.3280*** (0.0000)
Phillips-Perron t −10.9212*** (0.0000) −15.1332*** (0.0000)
Augmented Dickey-Fuller t −7.0541*** (0.0000) −11.4302*** (0.0000)
Westerlund error-correction-based cointegration test
Tests Constant Constant and trend
Variance ratio −0.2464 (0.4027) 2.7190*** (0.0033)
LGDP = f (HDI, LPI, LUP, LTO)
Kao's residual cointegration test
Modified Dickey-Fuller t 1.5132* (0.0651)
Dickey-Fuller t −1.1360 (0.1280)
Augmented Dickey-Fuller t 0.8625 (0.1942)
Unadjusted modified Dickey-Fuller t 0.3108*** (0.3780)
Unadjusted Dickey-Fuller t −2.1832** (0.0145)
Pedroni's test for cointegration
Tests Constant Constant and trend
Modified Phillips-Perron t 6.0670*** (0.0000) 6.1619*** (0.0000)
Phillips-Perron t −1.3368* (0.0906) −4.4046*** (0.0000)
Augmented Dickey-Fuller t −1.7747** (0.0380) −6.2565*** (0.0000)
Westerlund error-correction-based cointegration test
Tests Constant Constant and trend
Variance ratio 1.3909* (0.0821) 1.5698* (0.0582)
LCEM = f (HDI, LPI, LUP, LTO)
Kao's residual cointegration test
Modified Dickey-Fuller t 2.3904*** (0.0084)
Dickey-Fuller t 0.7676 (0.2214)
Augmented Dickey-Fuller t 2.5116*** (0.0060)
Unadjusted modified Dickey-Fuller t −1.0605 (0.1445)
Unadjusted Dickey-Fuller t −2.5234*** (0.0058)
Pedroni's test for cointegration
Tests Constant Constant and trend
Modified Phillips-Perron t 5.1017*** (0.0000) 5.7931*** (0.0000)
Phillips-Perron t −9.2441*** (0.0000) −14.6687*** (0.0000)
Augmented Dickey-Fuller t −9.4766*** (0.0000) −13.1086*** (0.0000)
Westerlund error-correction-based cointegration test
Tests Constant Constant and trend
Variance ratio −0.9811 (0.1633) −0.2714 (0.3931)

Notes: for Kao's test, the deterministic component is: constant. For Westerlund's test the Z-Values are reported. For all tests the P-Values are in parentheses. ***p < 0.01, **p < 0.05, *p < 0.10.