Table 1:
Percent absolute bias (95% CI coverage) of the following methods in estimation of τ* in 200 simulations: matching with no bias correction (Match 1), matching with a GAM bias correction (Match 2), matching with correctly specified bias correction (Match 3), BART, Poisson regression with linear terms (PR 1), correctly specified Poisson regression (PR 2). ω refers to matching tolerances on pollutants, i.e. 0.15 means that matches are restricted to be within 0.15 standard deviations for each pollutant. S/N is the proportion of the sample retained after trimming, and τ*/τ is the ratio of the true trimmed sample TEA to the true whole sample TEA.
| ω | S/N | τ*/τ | Match 1 | Match 2 | Match 3 | BART | PR 1 | PR 2 | |
|---|---|---|---|---|---|---|---|---|---|
| S-1 τ = 195011 |
0.15 | 0.51 | 0.07 | 0.42 (0.00) | 0.01 (0.98) | 0.01 (0.93) | 0.05 (0.62) | 0.22 (0.00) | 0.01 (0.88) |
| 0.20 | 0.58 | 0.09 | 0.42 (0.00) | 0.00 (0.98) | 0.05 (0.46) | 0.06 (0.57) | 0.21 (0.00) | 0.02 (0.86) | |
| 0.25 | 0.63 | 0.11 | 0.38 (0.00) | 0.04 (0.74) | 0.09 (0.08) | 0.06 (0.56) | 0.20 (0.00) | 0.02 (0.81) | |
| S-2 τ = 186852 |
0.15 | 0.51 | 0.20 | 0.04 (1.00) | 0.02 (0.81) | 0.02 (0.8) | 0.00 (0.90) | 0.05 (0.12) | 0.01 (0.87) |
| 0.20 | 0.58 | 0.25 | 0.03 (1.00) | 0.03 (0.42) | 0.03 (0.39) | 0.00 (0.90) | 0.06 (0.04) | 0.02 (0.77) | |
| 0.25 | 0.63 | 0.29 | 0.01 (0.94) | 0.06 (0.08) | 0.06 (0.06) | 0.01 (0.92) | 0.07 (0.00) | 0.02 (0.80) | |
| S-2 τ = 132818 |
0.15 | 0.51 | 0.41 | 0.29 (0.00) | 0.04 (0.98) | 0.03 (0.98) | 0.03 (0.99) | 0.04 (0.53) | - |
| 0.20 | 0.58 | 0.47 | 0.30 (0.00) | 0.04 (1.00) | 0.04 (1.00) | 0.05 (0.97) | 0.06 (0.34) | - | |
| 0.25 | 0.63 | 0.53 | 0.29 (0.00) | 0.04 (0.98) | 0.03 (0.99) | 0.07 (0.89) | 0.07 (0.18) | - | |