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Causal Covariate Selection for the Regression Calibration Method for Exposure Measurement Error Bias Correction
Wenze Tang1, Donna Spiegelman2,3, Yujie Wu4
1Department of Epidemiology, Harvard School of Public Health, Boston, Massachusetts, USA.
Statistics in Medicine
|February 4, 2026
Summary
This study identifies essential covariates for regression calibration to correct exposure measurement error bias. Proper covariate selection, guided by directed acyclic graphs, ensures accurate results in observational studies.
Area of Science:
- Epidemiology
- Biostatistics
Background:
- Measurement error in continuous exposures can bias regression calibration results.
- Accurate estimation of exposure-outcome relationships requires addressing this bias.
Purpose of the Study:
- To determine minimal and efficient covariate adjustment sets for regression calibration.
- To provide guidance on selecting covariates using subject-matter knowledge and directed acyclic graphs.
Main Methods:
- Utilized directed acyclic graphs (DAGs) to illustrate covariate selection principles.
- Investigated imputation-based regression calibration for bias correction.
- Applied the approach to the Health Professionals Follow-up Study data.
Main Results:
- Identified two key covariate sets: common causes of exposure-outcome and common causes of measurement error-outcome.
- Demonstrated that adjusting for specific covariates in the measurement error model (MEM) and outcome model is crucial for unbiased correction.
- Showcased efficiency gains by adjusting for non-risk factors in the MEM.
Conclusions:
- Subject-matter knowledge is vital for selecting appropriate covariates in regression calibration.
- The proposed method ensures unbiased correction of exposure measurement error.
- Caution is advised against using regression calibration for nutritional intake estimation via biomarkers.
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