Out-of-sample forecast evaluation [h = 120]
| Clark and West test | ||||||
|---|---|---|---|---|---|---|
| Full sample | Pre-COVID | COVID# | ||||
| Model 1 vs Model 2 | Model 1 vs Model 3 | Model 1 vs Model 2 | Model 1 vs Model 3 | Model 1 vs Model 2 | Model 1 vs Model 3 | |
| Consumer goods | 0.0892a [4.23] | 0.2764a [5.04] | 0.1007a [4.50] | 0.3975a [5.16] | 2.4765a [4.04] | 5.7999a [4.95] |
| Consumer Services | 0.0341a [6.67] | 0.5057a [19.87] | 0.0444a [8.32] | 0.5015a [16.79] | 2.5197a [6.69] | 9.3796a [9.78] |
| Financials | 0.0376a [7.13] | 0.3604a [21.56] | 0.0427a [6.73] | 0.3505a [16.97] | 3.8129a [6.49] | 10.6388a [11.82] |
| HealthCare | 0.0546a [2.66] | 0.1028c [1.63] | 0.0593a [2.46] | 0.1537a [2.08] | 1.4538a [2.73] | 3.8291a [5.48] |
| Industrials | 0.0305a [5.27] | 0.3098a [9.45] | 0.0393a [5.99] | 0.3625a [9.73] | 7.3485a [2.03] | 12.7912a [2.40] |
| Materials | 0.0551a [5.89] | 0.0966a [2.17] | 0.0707a [6.27] | 0.0860c [1.57] | 7.8840a [6.17] | 15.2597a [7.12] |
| Technology | 0.1042a [3.22] | 0.1720a [3.32] | 0.1405a [3.57] | 0.2089a [2.73] | 1.8555b [1.80] | 4.2805a [2.12] |
| Telecoms | 0.0537a [3.64] | 0.4602a [3.32] | 0.0397a [3.14] | 0.3429b [1.97] | 3.9582a [3.73] | 9.2347a [4.84] |
| Clark and West test | ||||||
|---|---|---|---|---|---|---|
| Full sample | Pre-COVID | COVID# | ||||
| Model 1 vs Model 2 | Model 1 vs Model 3 | Model 1 vs Model 2 | Model 1 vs Model 3 | Model 1 vs Model 2 | Model 1 vs Model 3 | |
| Consumer goods | 0.0892a [4.23] | 0.2764a [5.04] | 0.1007a [4.50] | 0.3975a [5.16] | 2.4765a [4.04] | 5.7999a [4.95] |
| Consumer Services | 0.0341a [6.67] | 0.5057a [19.87] | 0.0444a [8.32] | 0.5015a [16.79] | 2.5197a [6.69] | 9.3796a [9.78] |
| Financials | 0.0376a [7.13] | 0.3604a [21.56] | 0.0427a [6.73] | 0.3505a [16.97] | 3.8129a [6.49] | 10.6388a [11.82] |
| HealthCare | 0.0546a [2.66] | 0.1028c [1.63] | 0.0593a [2.46] | 0.1537a [2.08] | 1.4538a [2.73] | 3.8291a [5.48] |
| Industrials | 0.0305a [5.27] | 0.3098a [9.45] | 0.0393a [5.99] | 0.3625a [9.73] | 7.3485a [2.03] | 12.7912a [2.40] |
| Materials | 0.0551a [5.89] | 0.0966a [2.17] | 0.0707a [6.27] | 0.0860c [1.57] | 7.8840a [6.17] | 15.2597a [7.12] |
| Technology | 0.1042a [3.22] | 0.1720a [3.32] | 0.1405a [3.57] | 0.2089a [2.73] | 1.8555b [1.80] | 4.2805a [2.12] |
| Telecoms | 0.0537a [3.64] | 0.4602a [3.32] | 0.0397a [3.14] | 0.3429b [1.97] | 3.9582a [3.73] | 9.2347a [4.84] |
Note(s): Model 1 is the Historical Average model; Model 2 is the model without control; Model 3 is the model with control. The Clark and West test measures the significance of the difference the forecast errors of two competing models. The null hypothesis of a zero coefficient is rejected if this statistic is greater than +1.282 (for a one sided 0.10 test), +1.645 (for a one sided 0.05 test) and +2.00 for 0.01 test (for a one sided 0.01 test) (see Clark and West, 2007). Values in square brackets – [] are for t-statistics. a, b and c indicate statistical significance at 1%, 5 and 10% levels respectively. #Due to the data scope for COVID, we use 10 and 20 days for out-of-sample forecast evaluation
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