Clark and west (C-W) 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 | 3.8142*** | 4.4483*** | 4.7489*** | 4.7488*** | 6.3147*** | 6.7469*** | 7.2223*** | 7.2222*** |
| Consumer discretionary | 5.9018*** | 6.2098*** | 5.8463*** | 5.8466*** | 5.2331*** | 5.2671*** | 4.4450*** | 4.4451*** |
| Consumer staple | 7.5133*** | 7.2814*** | 7.1610*** | 7.1600*** | 6.4322*** | 6.0957*** | 5.6659*** | 5.6666*** |
| Energy | 2.6904*** | 2.8920*** | 3.4603*** | 3.4600*** | 2.5657*** | 2.8600*** | 3.5096*** | 3.5559*** |
| Financial | 0.6046 | 0.3236 | −0.0092 | −0.0096 | −0.5847 | −0.1211 | 0.4143 | 0.4141 |
| Health care | 8.7418*** | 9.1418*** | 9.7678*** | 9.7666** | 7.4564*** | 7.0984*** | 7.6602*** | 7.6606*** |
| Industrial | 6.3940*** | 6.9216*** | 4.7852*** | 4.7855*** | 6.4201*** | 7.0203*** | 5.6753*** | 5.6757*** |
| Information technology | 7.4573*** | 7.6951*** | 8.0622*** | 8.0620*** | 8.4448*** | 8.9751*** | 8.8705*** | 8.8700*** |
| Material | 5.1081*** | 5.5592*** | 5.6899*** | 5.6990*** | 5.1214*** | 5.3986*** | 5.0289*** | 5.0284*** |
| Real estate | 10.0197*** | 10.5185*** | 10.8648*** | 10.8649*** | 8.2639*** | 8.6939*** | 8.7129*** | 8.7130*** |
| Utility | 1.0763 | 1.0732 | 1.0735 | 1.0803 | 0.3943 | 0.3937 | 0.3950 | 0.3895 |
| 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 | 3.8142*** | 4.4483*** | 4.7489*** | 4.7488*** | 6.3147*** | 6.7469*** | 7.2223*** | 7.2222*** |
| Consumer discretionary | 5.9018*** | 6.2098*** | 5.8463*** | 5.8466*** | 5.2331*** | 5.2671*** | 4.4450*** | 4.4451*** |
| Consumer staple | 7.5133*** | 7.2814*** | 7.1610*** | 7.1600*** | 6.4322*** | 6.0957*** | 5.6659*** | 5.6666*** |
| Energy | 2.6904*** | 2.8920*** | 3.4603*** | 3.4600*** | 2.5657*** | 2.8600*** | 3.5096*** | 3.5559*** |
| Financial | 0.6046 | 0.3236 | −0.0092 | −0.0096 | −0.5847 | −0.1211 | 0.4143 | 0.4141 |
| Health care | 8.7418*** | 9.1418*** | 9.7678*** | 9.7666** | 7.4564*** | 7.0984*** | 7.6602*** | 7.6606*** |
| Industrial | 6.3940*** | 6.9216*** | 4.7852*** | 4.7855*** | 6.4201*** | 7.0203*** | 5.6753*** | 5.6757*** |
| Information technology | 7.4573*** | 7.6951*** | 8.0622*** | 8.0620*** | 8.4448*** | 8.9751*** | 8.8705*** | 8.8700*** |
| Material | 5.1081*** | 5.5592*** | 5.6899*** | 5.6990*** | 5.1214*** | 5.3986*** | 5.0289*** | 5.0284*** |
| Real estate | 10.0197*** | 10.5185*** | 10.8648*** | 10.8649*** | 8.2639*** | 8.6939*** | 8.7129*** | 8.7130*** |
| Utility | 1.0763 | 1.0732 | 1.0735 | 1.0803 | 0.3943 | 0.3937 | 0.3950 | 0.3895 |
Note(s): The C-W test t-statistic is based on the critical values of 1.28, 1.64 and 2.00 for 10%, 5 and 1% levels of significance, respectively
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