ARDL bound tests and ECT for RGDPG, SMI1 and SMI2
| Long run relationship, ARDL and bound tests results | ||||
| RGDPG | SMI1 | SMI2 | ||
| RGDPG | 0.222349 | −0.337290*** | ||
| SMI1 | 1.139416*** | 0.395901*** | ||
| SMI2 | −0.954387*** | −0.020214 | ||
| Bound tests F-value | 12.29329*** | 1.476818 | 9.544598*** | |
| k = 2 | 10% | 5% | 1% | |
| Finite sample: n = 70 | I (0) | 3.25 | 3.947 | 5.487 |
| I (1) | 4.237 | 5.02 | 6.88 | |
| Short run and error correction form [ECT] | ||||
| ARDL (1, 0, 0) | ARDL (1, 0, 1) | ARDL (1, 1, 1) | ||
| RGDPG | SMI1 | SMI2 | ||
| ΔRGDPG | 0.020781 | −0.071348** | ||
| ΔRGDPG (−1) | 0.264906** | −0.109312*** | ||
| ΔSMI1 | 0.837578*** | 1.015911*** | ||
| ΔSM1(−1) | 0.906537*** | −0.803857*** | ||
| ΔSMI2 | −0.701564*** | 0.218853*** | ||
| ΔSMI2(−1) | −0.220743*** | 0.464378** | ||
| C | 4.091239*** | −0.097105 | 0.969978*** | |
| ECT(t − 1) [Coeff.] Test [Value] | −0.735094*** [−6.160264]*** | −0.093463** [−2.135594] | −0.535622*** [−5.430335]*** | |
| R2 | 0.404167 | 0.888826 | 0.518206 | |
| R2_aj | 0.378261 | 0.882287 | 0.482251 | |
| χ2 SC (1) | 1.649922 | 2.363589 | 2.605154 | |
| χ2 HET (1) | 0.889510 | 3.769435 | 3.434376 | |
| F-statistic | 15.60141*** | 135.9138*** | 14.41272*** | |
| Durbin – Watson stat | 2.184826 | 2.453840 | 2.315884 | |
| RGDPG | SMI1 | SMI2 | ||
| RGDPG | 0.222349 | −0.337290 | ||
| SMI1 | 1.139416 | 0.395901 | ||
| SMI2 | −0.954387 | −0.020214 | ||
| Bound tests | 12.29329 | 1.476818 | 9.544598 | |
| k = 2 | 10% | 5% | 1% | |
| Finite sample: | I (0) | 3.25 | 3.947 | 5.487 |
| I (1) | 4.237 | 5.02 | 6.88 | |
| ARDL (1, 0, 0) | ARDL (1, 0, 1) | ARDL (1, 1, 1) | ||
| RGDPG | SMI1 | SMI2 | ||
| ΔRGDPG | 0.020781 | −0.071348 | ||
| ΔRGDPG (−1) | 0.264906 | −0.109312 | ||
| ΔSMI1 | 0.837578 | 1.015911 | ||
| ΔSM1(−1) | 0.906537 | −0.803857 | ||
| ΔSMI2 | −0.701564 | 0.218853 | ||
| ΔSMI2(−1) | −0.220743 | 0.464378 | ||
| C | 4.091239 | −0.097105 | 0.969978 | |
| ECT( | −0.735094 | −0.093463 | −0.535622 | |
| 0.404167 | 0.888826 | 0.518206 | ||
| 0.378261 | 0.882287 | 0.482251 | ||
| 1.649922 | 2.363589 | 2.605154 | ||
| 0.889510 | 3.769435 | 3.434376 | ||
| F-statistic | 15.60141 | 135.9138 | 14.41272 | |
| Durbin – Watson stat | 2.184826 | 2.453840 | 2.315884 | |
Notes:
Critical values for the bounds test: case III: unrestricted intercept and no trend, Narayan and Smyth (2005, p. 1988);
***,
** and
*indicate statistical significance at 1, 5 and 10% respectively
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