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. 2020 Jul 7;27(31):38881–38900. doi: 10.1007/s11356-020-09869-9

Table 7.

Pre-estimation diagnostics

Results from cross-sectional dependence test
Test Statistic Prob.
Pearson LM normal 23.725 0.3066
Pearson CD normal − 0.008 0.9934
Pedroni cointegration test
Panel v statistic − 0.5795 .2811
Panel Rho statistic 0.7606 0.7765
Panel PP statistic − 1.636 0.050*
Panel ADF statistic − 1.645 0.0499**
Group Rho statistic 1.262 0.8965
Group PP statistic − 4.949 0.00000***
Group ADF statistic − 3.481 0.0002***
Kao cointegration test
t stat Prob.
ADF − 3.9655 0.0000***

Null hypothesis: cross-sectional independence (CD ~ (0, 1). Dependent variable = CO2 emissions. v, Rho, PP and ADF statistics are measured using Pedroni (2004, 1999). p values are given in parentheses

PP Phillips–Perron, ADF augmented Dickey–Fuller

***, ** and * represent a statistical rejection level of the null of no cointegration at 1%, 5% and 10% significance levels respectively