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Spatial measurement error and correction by spatial SIMEX in linear regression models when using predicted air
Stacey E Alexeeff1, Raymond J Carroll2, Brent Coull3
1Institute for Mathematics Applied to Geosciences, National Center for Atmospheric Research, Boulder, CO USA and Department of Biostatistics, Harvard School of Public Health, Boston, MA, USA salexeef@ucar.edu.
Spatial modeling of air pollution (AP) improves exposure assessment but faces uncertainty. A new spatial simulation extrapolation (SIMEX) method corrects bias in health effect estimates caused by AP exposure model errors.
Area of Science:
- Environmental Epidemiology
- Geostatistics
- Spatial Statistics
Background:
- Spatial modeling is crucial for air pollution epidemiology, aiming to enhance exposure assessment accuracy.
- Key uncertainties in air pollution exposure models arise from estimation errors and model misspecification.
- Existing methods often struggle to fully account for these sources of error.
Purpose of the Study:
- To investigate the impact of estimation error and model misspecification in spatial air pollution models on health effect estimates.
- To develop and evaluate a novel statistical procedure for correcting bias in air pollution epidemiology studies.
- To apply the proposed method to real-world data examining air pollution and birth outcomes.
Main Methods:
- Utilized a universal Kriging framework for predicting air pollution exposures, incorporating land-use regression terms and spatial covariance structures.
- Derived analytical expressions for bias in health effect estimates resulting from exposure model estimation error and misspecification.
- Developed and implemented a spatial simulation extrapolation (SIMEX) procedure to correct for asymptotic bias.
Main Results:
- Demonstrated that a misspecified air pollution exposure model can lead to asymptotic bias in estimated health effects.
- The proposed spatial SIMEX procedure effectively corrected for this induced asymptotic bias.
- The method's performance was validated through application to a study on air pollution and birthweight in Massachusetts.
Conclusions:
- Spatial SIMEX offers a robust approach to mitigate bias in air pollution epidemiology stemming from exposure model uncertainties.
- Accurate exposure assessment is vital for reliable health effect estimation in environmental health research.
- This methodology can improve the validity of findings in studies linking environmental exposures to health outcomes.
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