Correcting for measurement error in individual-level covariates in nonlinear mixed effects models

Biometrics

Volumn 56, Issue 2, 2000, Pages 368-375

  Ko, Hyejin ^a   Davidian, Marie ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Laplace's approximation; Random effects; Regression calibration; Small sigma

Indexed keywords

APPLICATION PROGRAMS; MEASUREMENT ERRORS; RANDOM PROCESSES;

COVARIANCE PARAMETERS; COVARIATES; FIXED EFFECTS; INDIVIDUAL LEVELS; LAPLACE'S APPROXIMATION; MIXED EFFECTS MODELS; NONLINEAR MIXED EFFECTS; RANDOM EFFECTS; REGRESSION CALIBRATION; SMALL SIGMA;

CALIBRATION;

ANALYTICAL ERROR; ARTICLE; COMPUTER PROGRAM; COVARIANCE; MATHEMATICAL COMPUTING; NONLINEAR SYSTEM;

EID: 0033918332     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2000.00368.x     Document Type: Article

References (16)

1. Beal, S. L. and Sheiner, L. B. (1985). Methodology of population pharmacokinetics. In Drug Fate and Metabolism -Methods and Techniques, E. R. Garrett and J. L. Hirtz (eds), 135-183. New York: Marcel Dekker.
2. Boeckmann, A. L., Sheiner, L. B., and Beal, S. L. (1994). NONMEM User's Guide. Part V. San Francisco: University of California, NONMEM Project Group.
3. Breslow, N. E. and Lin, X. (1995). Bias correction in generalized linear mixed models with a single component of dispersion. Biometrika 82, 81-91.
4. Carroll, R. J. and Ruppert, D. (1988). Transformation and Weighting in Regression. London: Chapman and Hall.
5. Carroll, R. J., Ruppert, D., and Stefanski, L. A. (1995). Measurement Error in Nonlinear Models. London: Chapman and Hall.
6. Littell, R. C., Milliken, G. A., Stroup, W. W., and Wolfinger, R. D. (1996). SAS System for Mixed Models. Cary, North Carolina: SAS Institute.
7. Notermans, D. W., Goudsmit, J., Danner, S. A., de Wolf, F., Perleson, A. S., and Mittler, J. (1998). Rate of HIV-1 decline following antiretroviral therapy is related to viral load at baseline and drug regimen. AIDS 12, 1483-1490.
8. Pinheiro, J. C. and Bates, D. M. (1995). Mixed Effects Models, Methods, and Classes for S and Splus. Madison: University of Wisconsin.
9. Stefanski, L. A. and Cook, J. R. (1995). Simulation-extrapolation: The measurement error jackknife. Journal of the American Statistical Association 90, 1247-1256.
10. Vonesh, E. F. (1996). A note on the use of Laplace's approximation for nonlinear mixed effects models. Biometrika 83, 447-452.
11. Wang, N., Lin, X., Gutierrez, R. G., and Carroll, R. J. (1998). Bias analysis and SIMEX approach in generalized linear mixed measurement error models. Journal of the American Statistical Association 93, 249-261.
12. Wang, N., Lin, X., and Gutierrez, R. G. (1999). A bias correction regression calibration approach in generalized linear mixed measurement error models. Communications in Statistics, Theory, and Methods 28, 217-232.
13. Wolfinger, R. (1993). Laplace's approximation for nonlinear mixed models. Biometrika 80, 791-795.
14. Wu, H. and Ding, A. A. (1999). Population HIV-1 dynamics in vivo: Applicable models and inferential tools for virological data from AIDS clinical trials. Biometrics 55, 410-418.
15. Wu, H., Ding, A. A., and De Gruttola, V. (1998). Editorial comment: Why are the decay rates in plasma HIV-1 different for different treatments and different patient populations? AIDS 12, 1491.
16. Wulfsohn, M. S. and Tsiatis, A. A. (1997). A joint model for survival and longitudinal data measured with error. Biometrics 53, 330-339.