The simulation extrapolation method for fitting generalized linear models with additive measurement error
Open accessAbstract
We discuss and illustrate the method of simulation extrapolation for fitting models with additive measurement error. We present this discussion in terms of generalized linear models (GLMs) following the notation defined in Hardin and Carroll (2003). As in Hardin, Schmiediche, and Carroll (2003), our discussion includes specified measurement error and measurement error estimated by replicate error-prone proxies. In addition, we discuss and illustrate three extrapolant functions.
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Missing data bias was examined using multiple imputation, and whether correcting random measurement error in health behaviors increased their capacity to explain observed SES/personality risks was examined using simulation extrapolation.
“We examined missing data bias using multiple imputation (37) and whether correcting random measurement error in health behaviors increased their capacity to explain observed SES/ personality risks, using simulation extrapolation (38).”
From Personality, Socioeconomic Status, and All-Cause Mortality in the United States (2010) · cites this paper as [38]
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Cites
Simulation-Extrapolation Estimation in Parametric Measurement Error Models
Cook, J. R., & Stefanski, L. A. (1994) · Journal of the American Statistical Association · doi:10.1080/01621459.1994.10476871 · Cited by 794 · see citing works
Simulation-Extrapolation: The Measurement Error Jackknife
Stefanski, L. A., & Cook, J. R. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476629 · Cited by 327 · see citing works
Asymptotics for the SIMEX Estimator in Nonlinear Measurement Error Models
Carroll, R. J., Küchenhoff, H., Lombard, F., et al. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10476682 · Cited by 200 · see citing works
Self-citationHardin, J. W., Schmiediche, H., & Carroll, R. J. (2003) · The Stata Journal Promoting communications on statistics and Stata · doi:10.1177/1536867x0400300406 · Cited by 61 · see citing works
Self-citationHardin, J. W., Schmiediche, H., & Carroll, R. J. (2003) · The Stata Journal Promoting communications on statistics and Stata · doi:10.1177/1536867x0300300406 · Cited by 34 · see citing works
Self-citationMeasurement Error, GLMs, and Notational Conventions
Hardin, J. W., & Carroll, R. J. (2003) · The Stata Journal Promoting communications on statistics and Stata · doi:10.1177/1536867x0300300403 · Cited by 20 · see citing works
Self-citationNewton, H. J., & Cox, N. J. (2003) · The Stata Journal Promoting communications on statistics and Stata · doi:10.1177/1536867x0300300402 · Cited by 9 · see citing works
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- Cook, J. and L. A. Stefanski. 1995. A simulation extrapolation method for parametric measurement error models. Journal of the American Statistical Association 89: 1314- 1328.
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A framework for the investigation of pleiotropy in two‐sample summary data Mendelian randomization
Bowden, J., Del Greco M, F., Minelli, C., Davey Smith, G., Sheehan, N., & Thompson, J. (2017) · Statistics in Medicine · doi:10.1002/sim.7221 · Cited by 1,887 · see citing works
Personality, Socioeconomic Status, and All-Cause Mortality in the United States
Chapman, B. P., Fiscella, K., Kawachi, I., & Duberstein, P. R. (2010) · American Journal of Epidemiology · doi:10.1093/aje/kwp323 · Cited by 198 · see citing works
Beydoun, M. A., Kaufman, J. S., Sloane, P. D., Heiss, G., & Ibrahim, J. (2008) · Public Health Nutrition · doi:10.1017/s1368980007000080 · Cited by 53 · see citing works
- Authors
- Hardin, J. W., Schmiediche, H., & Carroll, R. J.
- Affiliations
- University of South Carolina (US)
- Texas A&M University (US)
- Corresponding author
- Hardin, James W.
- Schmiediche, Henrik
- Carroll, Raymond J.
- Venue
- The Stata Journal Promoting communications on statistics and Stata
- Publisher
- SAGE Publications
- Published
- 2003-12
- Volume
- 3
- Issue
- 4
- Pages
- 373-385
- ISSN
- 1536-867X (ISSN-L)
- 1536-8734
- OpenAlex
- W2188999893
- Cited by
- 60
- References
- 7
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 2 · 2023: 6 · 2022: 5 · 2021: 4 · 2019: 4 · 2018: 2 · 2017: 1 · 2016: 4 · 2015: 4 · 2014: 3 · 2013: 1 · 2012: 4
- FWCI
- 1.02
- Type
- journal article
- Language
- en
- Open access
- green
- ageconsearch.umn.edu
- Licence
- Locations
- The Stata Journal Promoting communications on statistics and Stata (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- AgEcon Search (University of Minnesota, USA) (submittedVersion, cc-by-nc-nd)
- AgEcon Search (University of Minnesota, USA)
- Funders
- National Institutes of Health
- National Center for Research Resources
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Keywords
- SIMEX, measurement error, generalized linear models, additive measurement error, Stata implementation
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