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A note on correlated errors in exposure and outcome in logistic regression
1Department of Biostatistics, Institute of Basic Medical Sciences, University of Oslo, Oslo, Norway. magne.thoresen@medsin.uio.no
Dependent misclassification in exposure and health status can bias study results. This research explores how correlated errors in continuous exposure and outcome measurements affect association estimates, offering a method for consistent effect estimation.
Area of Science:
- Epidemiology
- Biostatistics
Background:
- Measurement errors in exposure and health status are common in cross-sectional and questionnaire-based studies.
- These errors can be related due to systematic reporting biases by subjects.
Purpose of the Study:
- To investigate the impact of dependent misclassification on the estimated association between continuous exposure and health outcomes.
- To derive explicit expressions for bias in different scenarios of correlated measurement errors.
Main Methods:
- Utilized a threshold model assuming an underlying linear relation between exposure and response.
- Incorporated correlated errors for continuous exposure and outcome, with covariates measured without error.
Main Results:
- Derived explicit formulas for bias in the estimated exposure-outcome association.
- Demonstrated that correlated errors can lead to both over- and underestimation of the true relationship.
Conclusions:
- Dependent misclassification significantly biases exposure-outcome association estimates.
- A study design is proposed that allows for consistent estimation of the true effect, mitigating bias.
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