Best piecewise log-linear coefficients for 10-year-lagged mean, maximum and cumulative ‘daily weighted average’ (DWA) exposure final models
Log-linear model piece | Mean DWA exposure* † | Mean DWA exposure, excluding professionals and asbestos-exposed* † | Maximum DWA exposure* † | Maximum DWA exposure, excluding professionals and asbestos-exposed* † | Cumulative DWA exposure† ‡ | Cumulative DWA exposure, excluding professionals and asbestos-exposed† § |
Range 1 | 0 to <0.8 μg/m3 | 0 to <1 μg/m3 | 0 to <200 μg/m3-days | |||
β1, SE | 2.149, 0.6510 | 1.461, 0.8545 | 1.377, 0.4862 | 1.023, 0.6253 | 6.43e–3, 1.79e–3 | 7.51e–3, 2.17e–3 |
Range 2 | 0.8 to <1.6 μg/m3 | 1 to <9 μg/m3 | 200 to <1000 μg/m3-days | |||
β2, SE | −2.750, 0.8896 | −2.190, 1.246 | −1.459, 0.5109 | −1.084, 0.6677 | −7.05e–3, 1.94e–3 | −8.03e–3, 2.34e–3 |
Range 3 | 1.6 to <9 μg/m3 | 9 to <10 μg/m3 | 1000 to <10 000 μg/m3-days | |||
β3, SE | 0.7282, 0.3798 | 0.9845, 0.5868 | 1.315, 0.4982 | 1.718, 0.7584 | 6.63e–4, 2.85e–4 | 5.58e–4, 3.44e–4 |
Range 4 | 9 to <50 μg/m3 | ≥10 μg/m3 | ≥10 000 μg/m3-days | |||
β4, SE | −0.1317, 0.0393 | −0.2618, 0.0712 | −1.234, 0.4393 | −1.659, 0.6726 | −4.14e–5, 2.33e–5 | −4.75e–5, 3.89e–5 |
Range 5 | ≥50 μg/m3 | Not applicable | Not applicable | |||
β5, SE | 0.00513, 0.00518 | 0.00483, 0.00856 | – | – | – | – |
↵* Adjusting for birth cohort and plant.
↵† Beta coefficients are combined as follows to produce a HR at a given exposure x, where for any value (d)+, (d)+=0 if d<0 and (d)+=d if d ≥ 0: mean exposure: ln(HR)=β1x+β2(x–0.8)++β3(x–1.6)++β4(x–9.0)++β5(x–50)+; maximum expo9+sure: ln(HR)=β1x+β2(x–1.0)++β3(x–9.0)++β4(x–10)+; cumulative exposure: ln(HR)=β1x+β2(x–200)++β3(x–1000)++β4(x–10 000)+.
↵‡ Adjusting for birth cohort, plant, short-term work status and asbestos exposure.
↵§ Adjusting for birth cohort, plant and short-term work status.