A generalized estimating equation approach to modelling incompatible data formats with covariate measurement error: Application to human immunodeficiency virus immune markers

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 51, Issue 1, 2002, Pages 91-114

  Kowalski, J ^a   Tu, X M ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITY OF PENNSYLVANIA   (United States)

Author keywords

Acquired immune deficiency syndrome; Asymptotics; Enzyme linked immunosorbent assay testing; Multi Center AIDS Cohort Study; Relational sample

Indexed keywords

EID: 0036431064     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9876.04883     Document Type: Article

References (35)

1. Agresti, A. (1990) Categorical Data Analysis. New York: Wiley.
2. Baron, R.M. and Kenny, D.A. (1986) The moderator-mediator variable distinction in social psychological research: concept, strategic and statistical considerations. J. Person. Socl Psychol., 51, 1173-1182.
3. Billingsley, P. (1986) Probability and Measure, 2nd edn. New York: Wiley.
4. Bollen, K.A. (1989) Structural Equations with Latent Variables. New York: Wiley.
5. Bolognesi, D.P. (1989) Do antibodies enhance the infection of cells by HIV? Nature, 340 431-432.
6. Breslow, N.E. and Clayton, D.G. (1993) Approximate inference in generalized linear mixed models. J. Am. Statist. Ass., 88, 9-25.
7. Carroll, R.J., Ruppert, D. and Stefanski, L.A. (1995) Measurement Error in Nonlinear Models. London: Chapman and Hall.
8. d'Cruz-Grote, D. (1996) Prevention of HIV infection in developing countries. Lancet, 348, 1071-1074.
9. DeGruttola, V. and Tu, X.M. (1994) Modeling progression of CD4-lymphocyte count and its relationship to survival time. Biometrics, 50, 1003-1014.
10. Fauci, A.S. (1996) Host factors and the pathogenesis of HIV-induced disease. Nature, 384, 529-534.
11. Fuller, W.A. (1987) Measurement Error Models. New York: Wiley.
12. Gilmour, A.R., Anderson, R.D. and Rae, A.L. (1985) The analysis of binomial data by a generalized linear mixed model. Biometrika, 72, 593-599.
13. Haseltine, W.A. (1988) Replication and pathogenesis of the AIDS virus. J. AIDS, 1, 217-240.
14. Hogan, J.W. and Laird, N.M. (1997) Model-based approaches to analyzing incomplete longitudinal and failure time data. Statist. Med., 16, 259-272.
15. Imagawa, D.T., Lee, M.H. and Wolinksy, S.M. (1989) Human immunodeficiency virus type I infection in homosexual men who remain seronegative for prolonged periods. New Engl. J. Med., 320, 1458-1462.
16. Johnson, N.L. and Kotz, S. (1970) Distributions in Statistics, Continuous Univariate Distributions, 2nd edn. Boston: Houghton-Mifflin.
17. Kaslow, R.A., Ostrow, D.G., Detels, R., Phair, J.P., Polk, B.F. and Rinaldo, C.R. (1987) The Muticenter AIDS Cohort Study: rationale, organization, and selected characteristics of the participants. Am. J. Epidem., 126, 310-318.
18. Kowalski, J. (1998) GEE and GLMM approaches to modeling longitudinal data with incompatible formats and measurement error: application to enzyme immunosorbent assay testing for HIV antibodies. PhD Thesis. Department of Statistics, University of Pittsburgh, Pittsburgh.
19. Liang, K.Y. and Liu, X.H. (1991) Estimating equations in generalized linear models with measurement error. In Estimating Functions (ed. V.P. Godambe), pp. 47-63. Oxford: Oxford University Press.
20. Liang, K.Y. and Zeger, S.L. (1986) Longitudinal data analysis using generalized linear models. Biometrika, 73, 13-22.
21. Lin, X. and Breslow, N.E. (1996) Bias correction in generalized linear mixed models with multiple components of dispersion. J. Am. Statist. Ass., 91, 1007-1016.
22. Lipsitz, S.R., Kyungmann, K. and Zhao, L. (1994) Analysis of repeated categorical data using generalized estimating equations. Statist. Med., 13, 1149-1163.
23. Little, R.J.A. and Rubin, D.B. (1987) Statistical Analysis with Missing Data. New York: Wiley.
24. Liu, X. and Liang, K.Y. (1992) Efficacy of repeated measures in regression models with measurement error. Biometrics, 48, 645-654.
25. Loche, M. and Mach, B. (1988) Identification of HIV-infected seronegative individuals by a direct diagnostic test based on hybridisation to amplified viral DNA. Lancet, ii, 418-421.
26. McCullagh, P. and Nelder, J.A. (1989) Generalized Linear Models, 2nd edn. London: Chapman and Hall.
27. Prentice, R.L. (1989) Surrogate endpoints in clinical trials: definition and operational criteria. Statist. Med., 8, 431-440.
28. Robins, J.M., Rotnitzky, A. and Zhao, L.P. (1995) Analysis of semiparametric regression models for repeated outcomes in the presence of missing data. J. Am. Statist. Ass., 90, 106-121.
29. Rubin, D.B. (1976) Inference and missing data. Biometrika, 63, 57-67.
30. SAS Institute (1997) SAS/STAT Software: Changes and Enhancements through Release 6.12. Cary: SAS Institute.
31. Wang, N., Lin, X., Gutierrez, G. and Carroll, R.J. (1998) Bias analysis and SIMEX approach in generalized linear mixed measurement error models. J. Am. Statist. Ass., 93, 249-261.
32. Whittemore, A.S. (1989) Errors-in-variables regression using Stein estimates. Am. Statistn, 43, 226-228.
33. Wolfinger, R. (1993) Laplace's approximation for nonlinear mixed models. Biometrika, 80, 791-795.
34. World Health Organization (1998) Report on the Global HIV/AIDS Epidemic. Geneva: World Health Organization.
35. Zeger, S.L. and Liang, K.Y. (1986) Longitudinal data analysis for discrete and continuous outcomes. Biometrics, 42, 121-130.