Clark and west (C-W) test results for in-sample and out-of-sample forecasts: ADL-MIDAS with green innovation versus AR benchmark
| ADL-MIDAS (PCR) vs AR | ADL-MIDAS (TCR) vs AR | |||||||
|---|---|---|---|---|---|---|---|---|
| In-sample | Out-of-Sample | In-sample | Out-of-sample | |||||
| h = 4 | h = 8 | h = 12 | h = 4 | h = 8 | h = 12 | |||
| Communication service | 4.3683*** | 4.9262*** | 5.3549*** | 5.3549*** | 5.7201*** | 6.1368*** | 6.6833*** | 6.6843*** |
| Consumer discretionary | 6.8740*** | 7.0426*** | 6.9095*** | 6.9099*** | 7.1576*** | 7.1757*** | 6.9297*** | 6.9291*** |
| Consumer staple | 6.3566*** | 6.2277*** | 6.2767*** | 6.2766*** | 6.6701*** | 6.4626*** | 6.3399*** | 6.3400*** |
| Energy | 2.1845*** | 2.4563*** | 2.6994*** | 2.6990*** | 2.5631*** | 2.7194*** | 2.9027*** | 2.9031*** |
| Financial | 2.5396*** | 2.5933*** | 2.6910*** | 2.6900*** | 2.1179*** | 2.2544*** | 2.3427*** | 2.3422*** |
| Health care | 8.7418*** | 8.8416*** | 9.4602*** | 9.4672*** | 8.2500*** | 8.7819*** | 9.4170*** | 9.4177*** |
| Industrial | 6.8169*** | 6.8304*** | 6.4603*** | 6.4660*** | 6.5769*** | 6.5172*** | 6.3781*** | 6.3780*** |
| Information technology | 8.4641*** | 8.6477*** | 8.8420*** | 8.8421*** | 8.3975*** | 8.5585*** | 8.6006*** | 8.6002*** |
| Material | 6.0182*** | 6.0046*** | 5.9545*** | 5.9546*** | 6.1734*** | 6.5100*** | 6.4132*** | 6.1734*** |
| Real estate | 11.5255** | 11.9817*** | 12.1692*** | 12.1697*** | 11.5939*** | 11.9398*** | 12.0947*** | 2.0945*** |
| Utility | 1.0592 | 1.0581 | 1.0595 | 1.0758 | 0.4050 | 0.4058 | 0.4835 | 0.4857 |
| ADL-MIDAS (PCR) vs AR | ADL-MIDAS (TCR) vs AR | |||||||
|---|---|---|---|---|---|---|---|---|
| In-sample | Out-of-Sample | In-sample | Out-of-sample | |||||
| h = 4 | h = 8 | h = 12 | h = 4 | h = 8 | h = 12 | |||
| Communication service | 4.3683*** | 4.9262*** | 5.3549*** | 5.3549*** | 5.7201*** | 6.1368*** | 6.6833*** | 6.6843*** |
| Consumer discretionary | 6.8740*** | 7.0426*** | 6.9095*** | 6.9099*** | 7.1576*** | 7.1757*** | 6.9297*** | 6.9291*** |
| Consumer staple | 6.3566*** | 6.2277*** | 6.2767*** | 6.2766*** | 6.6701*** | 6.4626*** | 6.3399*** | 6.3400*** |
| Energy | 2.1845*** | 2.4563*** | 2.6994*** | 2.6990*** | 2.5631*** | 2.7194*** | 2.9027*** | 2.9031*** |
| Financial | 2.5396*** | 2.5933*** | 2.6910*** | 2.6900*** | 2.1179*** | 2.2544*** | 2.3427*** | 2.3422*** |
| Health care | 8.7418*** | 8.8416*** | 9.4602*** | 9.4672*** | 8.2500*** | 8.7819*** | 9.4170*** | 9.4177*** |
| Industrial | 6.8169*** | 6.8304*** | 6.4603*** | 6.4660*** | 6.5769*** | 6.5172*** | 6.3781*** | 6.3780*** |
| Information technology | 8.4641*** | 8.6477*** | 8.8420*** | 8.8421*** | 8.3975*** | 8.5585*** | 8.6006*** | 8.6002*** |
| Material | 6.0182*** | 6.0046*** | 5.9545*** | 5.9546*** | 6.1734*** | 6.5100*** | 6.4132*** | 6.1734*** |
| Real estate | 11.5255** | 11.9817*** | 12.1692*** | 12.1697*** | 11.5939*** | 11.9398*** | 12.0947*** | 2.0945*** |
| Utility | 1.0592 | 1.0581 | 1.0595 | 1.0758 | 0.4050 | 0.4058 | 0.4835 | 0.4857 |
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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