Table 1 Initial model selection.
No | Model | AIC | BIC | Log-likelihood |
|---|---|---|---|---|
1 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}\) Baseline (regional random effect) | 2967 | 2990 | -1475 |
2 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}+f(S)\) Regional random effect and sunlight duration | 650 | 708 | -301 |
3 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}+f\left(S\right)+f(T)\) Regional random effect, temperature, and sunlight duration | 595 | 690 | -258 |
4 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}+f\left(S\right)+f\left(T\right)+f(S{O}_{2})\) Regional random effect, temperature, sunlight duration and sulfur dioxide | 581 | 705 | -238 |
5 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}+f\left(S\right)+f\left(T\right)+f(P{M}_{10})\) Regional random effect, temperature, sunlight duration and particular matter \((\le 10)\) μm | 579 | 713 | -234 |
6 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}+f\left(S\right)+f\left(T\right)+f(P{M}_{2.5})\) Regional random effect, temperature, sunlight duration and particular matter \((\le 2.5)\) μm | 578 | 712 | -233 |
7 | \(\alpha +{\alpha }^{k}+\delta {W}_{t}+f\left(S\right)+f\left(T\right)+f(P{M}_{2.5})+\gamma {H}_{t-\left({t}_{1}+{t}_{2}\right)}^{k}\) Regional random effect, temperature, sunlight duration, particular matter \((\le 2.5)\) μm and humidity | 579 | 715 | -232 |
