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Covariate Measurement Error in Logistic Regression
Open accessAbstract
In a logistic regression model when covariates are subject to measurement error the naive estimator, obtained by regressing on the observed covariates, is asymptotically biased. We introduce a bias-adjusted estimator and two estimators appropriate for normally distributed measurement errors -a functional maximum likelihood estimator and an estimator which exploits the consequences of sufficiency. The four proposals are studied asymptotically under conditions which are appropriate when the measurement error is small. A small Monte Carlo study illustrates the superiority of the measurement-error estimators in certain situations.
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Citations
Cites
Cox’s regression model for counting processes: A large sample study
Andersen, P. K., & Gill, R. D. (1982) · The Annals of Statistics · doi:10.1214/aos/1176345976 · Cited by 4,419
Cited by
Stefanski, L. A. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10474347 · Cited by 99
Self-citationSpatial dependence in credit risk and its improvement in credit scoring
Fernandes, G. B., & Artes, R. (2016) · European Journal of Operational Research · doi:10.1016/j.ejor.2015.07.013 · Cited by 90
Measurement error in environmental epidemiology and the shape of exposure-response curves
Rhomberg, L. R., Chandalia, J. K., Long, C. M., & Goodman, J. E. (2011) · Critical Reviews in Toxicology · doi:10.3109/10408444.2011.563420 · Cited by 75
Metadata
- Authors
- Stefanski, L. A., & Carroll, R. J.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1985-12-01
- Volume
- 13
- Issue
- 4
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2009565450
- Cited by
- 282
- References
- 1
- FWCI
- 8.98
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Stefanski, L. A., & Carroll, R. J. (1985). Covariate Measurement Error in Logistic Regression. The Annals of Statistics. https://doi.org/10.1214/aos/1176349741
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