Time-varying coefficient models for the analysis of air pollution and health outcome data

Time-varying coefficient models for the analysis of air pollution and health outcome data
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DOI:
10.1111/j.1541-0420.2007.00776.x
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发表时间:
2007-12-01
期刊:
影响因子:
1.9
通讯作者:
Shaddick, Gavin
Shaddick, Gavin
中科院分区:
数学3区
文献类型:
--
作者:
Lee, Duncan;Shaddick, Gavin

文献摘要

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在这篇文章中,建立了一个时变系数模型来检验有害健康和短期(急性)空气污染暴露之间的关系。这一模型允许相对风险随时间演变,这可能是由于与温度的相互作用,或由于污染物组成的变化,如颗粒物,随着时间的推移。该模型产生了这些时变效应的平滑估计,不受研究者设置的固定参数形式的约束。取而代之的是,使用受惩罚的自然三次样条线从数据中估计形状。用拟似然和贝叶斯技术建立了泊松回归模型,分别用迭代加权最小二乘法和马尔可夫链蒙特卡罗模拟进行了估计。通过模拟研究评估了估计不同类型时变影响的方法的有效性,然后将这些模型应用于来自四个城市的数据,这些城市是全国发病率、死亡率和空气污染研究的一部分。
In this article a time-varying coefficient model is developed to examine the relationship between adverse health and short-term (acute) exposure to air pollution. This model allows the relative risk to evolve over time, which may be due to an interaction with temperature, or from a change in the composition of pollutants, such as particulate matter, over time. The model produces a smooth estimate of these time-varying effects, which are not constrained to follow a fixed parametric form set by the investigator. Instead, the shape is estimated from the data using penalized natural cubic splines. Poisson regression models, using both quasi-likelihood and Bayesian techniques, are developed, with estimation performed using an iteratively re-weighted least squares procedure and Markov chain Monte Carlo simulation, respectively. The efficacy of the methods to estimate different types of time-varying effects are assessed via a simulation study, and the models are then applied to data from four cities that were part of the National Morbidity, Mortality, and Air Pollution Study.