Table 1 Performance of approximations of precision of approximations to \( SE\left(\hat{\beta}\right) \) in 51 cities
From: Sample size issues in time series regressions of counts on environmental exposures
Estimator (text expression number) | Distribution of % error in estimators of \( SE\left(\hat{\beta}\right) \) over the 51 cities | |||
|---|---|---|---|---|
Mean (bias) | Mean absolute | Lowest | Highest | |
A: Using known exposure distribution | ||||
Poisson crude (1) | − 39.3 | 39.3 | − 58.0 | −19.7 |
Poisson (2) | −3.8 | 3.9 | −11.5 | 2.6 |
Q-Poisson (3) | −2.3 | 2.5 | −5.0 | 4.0 |
B: Using exposure distribution from year 1 | ||||
Poisson_crude (1) | −37.1 | 37.1 | −58.6 | −18.3 |
Poisson (2) | 7.1 | 15.7 | −28.9 | 44.5 |
Q-Poisson (3) | 9.1 | 17.1 | − 32.4 | 46.7 |