Table 1.
Three Scenarios Regarding σw | Estimated β | Empirical SE | Estimated SE | CI Coverage |
σw = 0.1 | ||||
Select “guessed” lag that yields largest estimate of association | 1.33 | 0.126 | 0.120 | 0.218 |
Select “guessed” lag that yields best model fit | 1.04 | 0.195 | 0.092 | 0.623 |
Simultaneously estimate lag and estimate of association | 1.01 | 0.190 | 0.134 | 0.878 |
σw = 0.5 | ||||
Select “guessed” lag that yields largest estimate of association | 1.31 | 0.095 | 0.093 | 0.083 |
Select “guessed” lag that yields best model fit | 1.03 | 0.147 | 0.072 | 0.684 |
Simultaneously estimate lag and estimate of association | 0.99 | 0.114 | 0.077 | 0.880 |
σw = 1.0 | ||||
Select “guessed” lag that yields largest estimate of association | 1.24 | 0.076 | 0.070 | 0.050 |
Select “guessed” lag that yields best model fit | 1.02 | 0.078 | 0.056 | 0.851 |
Simultaneously estimate lag and estimate of association | 1.01 | 0.071 | 0.055 | 0.915 |
Abbreviations: CI, confidence interval; SE, standard error; WLM, working level month.
In all simulations, the specified true association is β = 1. The natural log of annual exposure is distributed with μ = 0.1 and σB = 1.