System residual portmanteau tests for autocorrelations
| Null hypothesis: no residual autocorrelations up to lag h | |||||
|---|---|---|---|---|---|
| Lags | Q-stat | Prob | Adj Q-Stat | Prob | Df |
| 1 | 254.36 | 0.00 | 254.98 | 0.00 | 64 |
| 2 | 387.98 | 0.00 | 389.25 | 0.00 | 128 |
| 3 | 468.51 | 0.00 | 470.37 | 0.00 | 192 |
| 4 | 548.97 | 0.00 | 551.61 | 0.00 | 256 |
| 5 | 628.95 | 0.00 | 632.57 | 0.00 | 320 |
| 6 | 726.44 | 0.00 | 731.51 | 0.00 | 384 |
| 7 | 820.25 | 0.00 | 826.93 | 0.00 | 448 |
| 8 | 876.27 | 0.00 | 884.06 | 0.00 | 512 |
| 9 | 949.26 | 0.00 | 958.67 | 0.00 | 576 |
| 10 | 1021.14 | 0.00 | 1032.33 | 0.00 | 640 |
| 11 | 1090.60 | 0.00 | 1103.69 | 0.00 | 704 |
| 12 | 1152.99 | 0.00 | 1167.95 | 0.00 | 768 |
| Null hypothesis: no residual autocorrelations up to lag h | |||||
|---|---|---|---|---|---|
| Lags | Q-stat | Prob | Adj Q-Stat | Prob | Df |
| 1 | 254.36 | 0.00 | 254.98 | 0.00 | 64 |
| 2 | 387.98 | 0.00 | 389.25 | 0.00 | 128 |
| 3 | 468.51 | 0.00 | 470.37 | 0.00 | 192 |
| 4 | 548.97 | 0.00 | 551.61 | 0.00 | 256 |
| 5 | 628.95 | 0.00 | 632.57 | 0.00 | 320 |
| 6 | 726.44 | 0.00 | 731.51 | 0.00 | 384 |
| 7 | 820.25 | 0.00 | 826.93 | 0.00 | 448 |
| 8 | 876.27 | 0.00 | 884.06 | 0.00 | 512 |
| 9 | 949.26 | 0.00 | 958.67 | 0.00 | 576 |
| 10 | 1021.14 | 0.00 | 1032.33 | 0.00 | 640 |
| 11 | 1090.60 | 0.00 | 1103.69 | 0.00 | 704 |
| 12 | 1152.99 | 0.00 | 1167.95 | 0.00 | 768 |
Note(s): *The test is valid only for lags larger than the system lag order
*Df is degrees of freedom for (approximate) chi-square distribution
Source(s): Table by the author
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