Campbell–thompson (C-T) test results for in-sample and out-of-sample forecasts: unrestricted ADL-MIDAS versus restricted ADL-MIDAS
| ADL-MIDAS (PCR + GREEN) vs ADL-MIDAS (PCR) | ADL-MIDAS (TCR + GREEN) vs ADL-MIDAS (TCR) | |||||||
|---|---|---|---|---|---|---|---|---|
| In-sample | Out-of-sample | In-sample | Out-of-sample | |||||
| h = 4 | H = 8 | H = 12 | h = 4 | H = 8 | H = 12 | |||
| Communication service | 0.6307 | 0.6990 | 0.7357 | 0.8566 | 0.6676 | 0.7076 | 0.7266 | 0.7211 |
| Consumer discretionary | 0.3682 | 0.3989 | 0.3434 | 0.3841 | 0.2476 | 0.2547 | 0.1837 | 0.1772 |
| Consumer staple | 0.6473 | 0.6202 | 0.5774 | 0.5447 | 0.5724 | 0.5423 | 0.5039 | 0.4193 |
| Energy | 0.0274 | 0.0317 | 0.0603 | 0.0603 | −0.0429 | −0.0294 | 0.0138 | 0.2421 |
| Financial | 0.0004 | 0.0002 | −0.0001 | −0.0005 | −0.0183 | −0.0275 | 0.0072 | 0.0075 |
| Health care | 0.7123 | 0.7161 | 0.7296 | 0.7113 | 0.6769 | 0.7303 | 0.7459 | 0.7687 |
| Industrial | 0.4278 | 0.4495 | 0.2789 | 0.2869 | 0.3998 | 0.4267 | 0.2667 | 0.2512 |
| Information technology | 0.6645 | 0.6704 | 0.6502 | 0.6502 | 0.7253 | 0.7355 | 0.6843 | 0.6324 |
| Material | 0.3379 | 0.3552 | 0.3428 | 0.3410 | 0.2244 | 0.2485 | 0.2294 | 0.2156 |
| Real estate | 0.5339 | 0.5651 | 0.5673 | 0.5671 | 0.6081 | 0.6306 | 0.6250 | 0.6050 |
| Utility | 0.3730 | 0.3710 | 0.3731 | 0.3706 | 0.5334 | 0.5331 | 0.3553 | 0.3555 |
| ADL-MIDAS (PCR + GREEN) vs ADL-MIDAS (PCR) | ADL-MIDAS (TCR + GREEN) vs ADL-MIDAS (TCR) | |||||||
|---|---|---|---|---|---|---|---|---|
| In-sample | Out-of-sample | In-sample | Out-of-sample | |||||
| h = 4 | H = 8 | H = 12 | h = 4 | H = 8 | H = 12 | |||
| Communication service | 0.6307 | 0.6990 | 0.7357 | 0.8566 | 0.6676 | 0.7076 | 0.7266 | 0.7211 |
| Consumer discretionary | 0.3682 | 0.3989 | 0.3434 | 0.3841 | 0.2476 | 0.2547 | 0.1837 | 0.1772 |
| Consumer staple | 0.6473 | 0.6202 | 0.5774 | 0.5447 | 0.5724 | 0.5423 | 0.5039 | 0.4193 |
| Energy | 0.0274 | 0.0317 | 0.0603 | 0.0603 | −0.0429 | −0.0294 | 0.0138 | 0.2421 |
| Financial | 0.0004 | 0.0002 | −0.0001 | −0.0005 | −0.0183 | −0.0275 | 0.0072 | 0.0075 |
| Health care | 0.7123 | 0.7161 | 0.7296 | 0.7113 | 0.6769 | 0.7303 | 0.7459 | 0.7687 |
| Industrial | 0.4278 | 0.4495 | 0.2789 | 0.2869 | 0.3998 | 0.4267 | 0.2667 | 0.2512 |
| Information technology | 0.6645 | 0.6704 | 0.6502 | 0.6502 | 0.7253 | 0.7355 | 0.6843 | 0.6324 |
| Material | 0.3379 | 0.3552 | 0.3428 | 0.3410 | 0.2244 | 0.2485 | 0.2294 | 0.2156 |
| Real estate | 0.5339 | 0.5651 | 0.5673 | 0.5671 | 0.6081 | 0.6306 | 0.6250 | 0.6050 |
| Utility | 0.3730 | 0.3710 | 0.3731 | 0.3706 | 0.5334 | 0.5331 | 0.3553 | 0.3555 |
Note(s): The C–T test results are based on the forecast performance comparison of the unrestricted ADL-MIDAS-based predictive model as against the restricted ADL-MIDAS-based predictive model. Hypothetically, a positive C-T statistic or value implies that the unrestricted ADL-MIDAS based predictive model outperforms the restricted ADL-MIDAS-based predictive model and the reverse holds if the statistic is negative
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