Table 2 Cointegration tests.
From: World economies’ progress in decoupling from CO2 emissions
Statistic | Weighted statistic | |
|---|---|---|
Pedroni residual cointegration test | ||
Alternative hypothesis: common AR coefficients (within-dimension) | ||
Panel v-Statistic | 1.533926 (0.0625) | − 6.533586 (1.0000) |
Panel rho-Statistic | − 74.19208 (0.0000) | − 3.595931 (0.0002) |
Panel PP-Statistic | − 66.40794 (0.0000) | − 0.958834 (0.1688) |
Panel ADF-Statistic | − 68.73749 (0.0000) | 2.416838 (0.9922) |
Alternative hypothesis: individual AR coefficients (between-dimension) | ||
Group rho-Statistic | − 2.789044 (0.0026) | |
Group PP-Statistic | − 2.603061 (0.0046) | |
Group ADF-Statistic | − 3.144187 (0.0008) | |
Kao Residual Cointegration Test | ||
ADF | 2.586627 (0.0048) | |
Fisher Statistic* (from trace test) | Fisher Statistic* (from max-eigen test) | |
|---|---|---|
Johansen Fisher Panel Cointegration Test | ||
Trend assumption: No deterministic trend | ||
None | 1708 (0.0000) | 1639 (0.0000) |
At most 1 | 432.0 (0.0001) | 432.0 (0.0001) |
Trend assumption: No deterministic trend (restricted constant) | ||
None | 1539 (0.0000) | 1525 (0.0000) |
At most 1 | 351.4 (0.1796) | 351.4 (0.1796) |
Trend assumption: Linear deterministic trend | ||
None | 1224 (0.0000) | 1183 (0.0000) |
At most 1 | 493.1 (0.0000) | 493.1 (0.0000) |
Trend assumption: Linear deterministic trend (restricted) | ||
None | 1383 (0.0000) | 1070 (0.0000) |
At most 1 | 245.0 (0.9998) | 245.0 (0.9998) |
Trend assumption: Quadratic deterministic trend | ||
None | 829.9 (0.0000) | 734.5 (0.0000) |
At most 1 | 631.2 (0.0000) | 631.2 (0.0000) |