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. 2020 Jan 28;20:15. doi: 10.1186/s12874-019-0894-6

Table 1.

Performance of approximations of precision of approximations to SEβ^ in 51 cities

Estimator (text expression number) Distribution of % error in estimators of SEβ^ 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

The table summarises the distribution of errors in three approximations to the standard error of the coefficient of heat (SEβ^) in the 51 Spanish provincial capitals

% error = 100*[approximation-(true value)]/(true value)]