Latent-model robustness in structural measurement error models

Biometrika

Volumn 93, Issue 1, 2006, Pages 53-64

  Huang, Xianzheng ^a   Stefanski, Leonard A ^a   Davidian, Marie ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Bias; Latent variable; Measurement error; Remeasurement method; Simulation extrapolation; Structural modelling

Indexed keywords

EID: 33644990910     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/93.1.53     Document Type: Article

References (17)

1. CARROLL, R. J., ROEDER, K. & WASSERMAN, L. (1999). Flexible parametric measurement error models. Biometrics 55, 44-54.
2. CARROLL, R. J., RUPPERT, D. & STEFANSKI, L. A. (1995). Measurement Error in Nonlinear Models. London: Chapman and Hall.
3. CASELLA, G. & BERGER, R. L. (2002). Statistical Inference, 2nd ed. Pacific Grove, CA: Wadsworth & Cole.
4. COOK, J. & STEFANSKI, L. A. (1994). Simulation extrapolation estimation in parametric measurement error models. J. Am. Statist. Assoc. 89, 1314-28.
5. FULLER, W. A. (1987). Measurement Error Models. New York: John Wiley & Sons.
6. HENDERSON, R., DIGGLE, P. & DOBSON, A. (2000). Joint modelling of longitudinal measurements and event time data. Biostatistics 4, 465-80.
7. KANNEL, W. B., NEATON, J. D., WENTWORTH, D., THOMAS, H. E., STAMLER, J., HULLEY, S. B. & KJELSBERG, M. O. (1986). Overall and coronary heart disease mortality rates in relation to major risk factors in 325,348 men screened for MRFIT. Am. Heart J. 112, 825-36.
8. LI, E., ZHANG, D. & DAVIDIAN, M. (2004). Conditional estimation for generalized linear models when covariates are subject-specific parameters in a mixed model for longitudinal parameters. Biometrics 60, 1-7.
9. RICHARDSON, S. (2002). Mixture models in measurement error problems, with reference to epidemiological studies. J. R. Statist. Soc. A 165, 549-66.
10. ROEDER, K., CARROLL, R. J. & LINDSAY, B. G. (1996). A semiparametric mixture approach to case-control studies with errors in covariables. J. Am. Statist. Assoc. 91, 722-32.
11. SCHAFER, D. W. (2001). Semiparametric maximum likelihood for measurement error model regression. Biometrics, 51, 53-61.
12. SONG, X., DAVIDIAN, M. & TSIATIS, A. A. (2002). A semiparametric likelihood approach to joint modeling of longitudinal and time-to-event data. Biometrics 58, 742-53.
13. STEFANSKI, L. A. (1985). The effects of measurement error on parameter estimation. Biometrika 72, 583-92.
14. STEFANSKI, L. A. & CARROLL, R. J. (1987). Conditional scores and optimal scores for generalized linear measurement-error models. Biometrika 74, 703-16.
15. STEFANSKI, L. A. & COOK, J. (1995). Simulation extrapolation: The measurement error jackknife. J. Am. Statist. Assoc. 90, 1247-56.
16. TSIATIS, A. A. & DAVIDIAN, M. (2004). An overview of joint modeling of longitudinal and time-to-event data. Statist. Sinica 14, 793-18.
17. ZHANG, D. & DAVIDIAN, M. (2001). Linear mixed model with flexible distribution of random effects for longitudinal data. Biometrics 57, 795-02.