Empirical simulation extrapolation for measurement error models with replicate measurements

Statistics and Probability Letters

Volumn 59, Issue 3, 2002, Pages 219-225

  Devanarayan, Viswanath ^a   Stefanski, Leonard A ^b  

^a ELI LILLY AND COMPANY   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Errors in variables; Heteroscedasticity; Logistic regression; Method of momemts; Simulation; Variance components

Indexed keywords

EID: 0036791328     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(02)00098-6     Document Type: Article

References (12)

1. Carroll, R.J., Spiegelman, C.H., Lan, K.K.G., Bailey, K.T., Abbott, R.D., 1984. On errors-in-variables for binary regression models. Biometrika 71, 19-25.
2. Carroll, R.J., Ruppert, D., Stefanski, L.A., 1995. Measurement Error in Nonlinear Models. Chapman & Hall, London, England.
3. Carroll, R.J., Küchenhoff, H., Lombard, F., Stefanski, L.A., 1996. Asymptotics for the SIMEX estimator in structural measurement error models. J. Amer. Statist. Assoc. 91, 242-250.
4. Carroll, R.J., Maca, J.D., Ruppert, D., 1999. Nonparametric regression in the presence of measurement error. Biometrika 86, 541-554.
5. Cook, J.R., Stefanski, L.A., 1994. A simulation extrapolation method for parametric measurement error models. J. Amer. Statist. Assoc. 89, 1314-1328.
6. Devanarayan, V., 1996. Simulation Extrapolation Method for Heteroscedastic Measurement Error Models with Replicate Measurements. Ph.D. Thesis, North Carolina State University, Raleigh, North Carolina, USA, unpublished.
7. Fung, K.Y., Krewski, D.J., 1999. Evaluation of regression calibration and SIMEX methods in logistic regression when one of the predictors is subject to additive measurement error. J. Epidemiol. Biostatist. 4 (2), 65-74.
8. Gordon, T., Kannel, W.E., 1968. The Framingham Study, introduction and general background in the Framingham study, Sections 1 and 2, National Heart, Lung and Blood Institute, Bethesda, MD, USA.
9. Holcomb, J., 1999. Regression with covariates and outcome calculated from a comment set of variables in the presence of measurement error: estimation using the SIMEX method. Statist. Med. 18, 2847-2862.
10. Stefanski, L.A., Cook, J.R., 1995. Simulation-extrapolation: the measurement error jackknife. J. Amer. Statist. Assoc. 90, 1247-1256.
11. Wang, N., Lin, X., Gutierrez, R., Carroll, R.J., 1999. Bias analysis and SIMEX approach in generalized linear mixed measurement error models. J. Amer. Statist. Assoc. 93, 249-261.
12. Watson, G.S., 1983. Statistics on Spheres. Wiley, New York.