Time series analysis of air pollution and health accounting for covariate-dependent overdispersion Pubblico
Pan, Anqi (2017)
Abstract
The time series study design is routinely used to estimate short-term associations between various adverse health outcomes and exposures to ambient air pollutants. This is accomplished by analyzing daily air pollution concentrations and aggregated counts of adverse health events over a geographical region via a Poisson log-linear model under the assumption of constant overdispersion. In this paper, we develop covariate-dependent Bayesian generalized Poisson and negative binomial models to account for potential time-varying overdispersion. The proposed models are applied to a time series study of daily emergency department visits for respiratory diseases and ozone concentration in Atlanta, Georgia during the period 1999 to 2009. Allowing for covariate-dependent overdispersion results in a reduction in ozone effect standard error, while the ozone-associated relative risk remains robust to different model specifications. Through simulation studies, we similarly found that the standard quasi-Poisson approach can result in larger standard error for the air pollution effect estimate when the constant overdispersion assumption is violated. Our findings suggest that improved characterization of overdispersion may result in more accurate and precise health effect estimates in studies of short-term environmental exposures.
Table of Contents
Table of Contents
1. Introduction…………………………………………………………………………….......................1
2. Atlanta Emergency Department Visit and Air Quality Data…………………………...2
3. Methods…………………………………………………………………………………........................4
3.1. Time Series Analysis of Air Pollution and Health……………………………......……..4
3.2. Time Series Analysis with Covariate-dependent Overdispersion…………………5
3.3. Estimation…………………………………………………………………………….......................6
4. Simulation Studies…………………………………………………………………….....................6
5. Application to Atlanta Emergency Department Visit and Ozone……….……………8
6. Discussion……………………………………….......................................................10
References……………………………………………..................................................... 12
Appendix: Tables and Figures………………………………………………………..............…...14
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