Vector auto regression lag order selection criteria for obtaining the appropriate lag length to apply the Granger causality
| VAR lag order selection criteria | ||||||
|---|---|---|---|---|---|---|
| Lag | LogL | LR | FPE | AIC | SC | HQ |
| 0 | −13.68123 | NA | 0.007509 | 0.784061 | 0.868505 | 0.814594 |
| 1 | 66.41170 | 148.1719 | 0.000167 | −3.020585 | −2.767253 | −2.928988 |
| 2 | 69.84805 | 6.013602 | 0.000172 | −2.992402 | −2.570183 | −2.839741 |
| 3 | 86.82970 | 28.01973 | 9.05e-05 | −3.641485 | −3.050377* | −3.427759* |
| 4 | 87.18016 | 0.543213 | 0.000110 | −3.459008 | −2.699012 | −3.184218 |
| 5 | 96.58246 | 13.63333* | 8.47e-05* | −3.729123* | −2.800239 | −3.393268 |
| 6 | 100.0101 | 4.627365 | 8.90e-05 | −3.700507 | −2.602735 | −3.303587 |
| 7 | 100.6895 | 0.849149 | 0.000108 | −3.534473 | −2.267813 | −3.076489 |
| 8 | 106.1650 | 6.296847 | 0.000104 | −3.608249 | −2.172701 | −3.089200 |
| VAR lag order selection criteria | ||||||
|---|---|---|---|---|---|---|
| Lag | LogL | LR | FPE | AIC | SC | HQ |
| 0 | −13.68123 | NA | 0.007509 | 0.784061 | 0.868505 | 0.814594 |
| 1 | 66.41170 | 148.1719 | 0.000167 | −3.020585 | −2.767253 | −2.928988 |
| 2 | 69.84805 | 6.013602 | 0.000172 | −2.992402 | −2.570183 | −2.839741 |
| 3 | 86.82970 | 28.01973 | 9.05e-05 | −3.641485 | −3.050377* | −3.427759* |
| 4 | 87.18016 | 0.543213 | 0.000110 | −3.459008 | −2.699012 | −3.184218 |
| 5 | 96.58246 | 13.63333* | 8.47e-05* | −3.729123* | −2.800239 | −3.393268 |
| 6 | 100.0101 | 4.627365 | 8.90e-05 | −3.700507 | −2.602735 | −3.303587 |
| 7 | 100.6895 | 0.849149 | 0.000108 | −3.534473 | −2.267813 | −3.076489 |
| 8 | 106.1650 | 6.296847 | 0.000104 | −3.608249 | −2.172701 | −3.089200 |
Notes:
*Indicates lag order selected by the criterion; LR: sequential modified LR test statistic (each test at 5% level); FPE: final prediction error; AIC: Akaike information criterion; SC: Schwarz information criterion; HQ: Hannan-Quinn information criterion