Unbiased estimating equations from working correlation models for irregularly timed repeated measures

Journal of the American Statistical Association

Volumn 99, Issue 467, 2004, Pages 845-853

  Wang, You Gan ^a,b   Carey, Vincent J ^c  

^a HARVARD UNIVERSITY   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c BRIGHAM AND WOMEN S HOSPITAL   (United States)

Author keywords

Bias; Correlation; Efficiency; Estimating function; Longitudinal data; Repeated measure

Indexed keywords

EID: 4944249199     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000001178     Document Type: Article

References (35)

1. Albert, P. S., and McShane, L. M. (1995), "A Generalized Estimating Equations Approach for Spatially Correlated Binary Data: Applications to the Analysis of Neuroimaging Data," Biometrics, 51, 627-638.
2. Carey, V., Zeger, S. L., and Diggle, P. (1993), "Modelling Multivariate Binary Data With Alternating Logistic Regressions," Biometrika, 80, 517-526.
3. Carroll, R. J., and Ruppert, D. (1988), Transformation and Weighting in Regression, New York: Chapman & Hall.
4. Chaganty, N. R. (1997), "An Alternative Approach to the Analysis of Longitudinal Data via Generalized Estimating Equations," Journal of Statistical Planning and Inference, 63, 39-54.
5. Chaganty, N. R., and Shults, J. (1999), "On Eliminating the Asymptotic Bias in the Quasi-Least Squares Estimate of the Correlation Parameter," Journal of Statistical Planning and Inference, 76, 145-161.
6. Crowder, M. (1985), "Gaussian Estimation for Correlated Binomial Data," Journal of the Royal Statistical Society, Ser. B, 47, 229-237.
7. _ (1992), "Interlaboratory Comparisons: Round Robins With Random Effects," Applied Statistics, 41, 409-425.
8. _ (1995), "On the Use of a Working Correlation Matrix in Using Generalized Linear Models for Repeated Measures," Biometrika, 82, 407-410.
9. Davidian, M., and Giltinan, D. M. (1995), Nonlinear Models for Repeated Measurement Data, London: Chapman & Hall.
10. Desmond, A. (1997), "Optimal Estimating Functions, Quasi-Likelihood and Statistical Modelling," Journal of Statistical Planning and Inference, 60, 77-121.
11. Emrich, L. J., and Piedmonte, M. R. (1991), "A Method for Generating High-Dimensional Multivariate Binary Variates," The American Statistician, 45, 302-304.
12. Fitzmaurice, G. M. (1995), "A Caveat Concerning Independence Estimating Equations With Multivariate Binary Data," Biometrics, 51, 309-317.
13. Gourieroux, C., Montfort, A., and Trognon, A. (1984), "Pseudo-Maximum Likelihood Methods: Theory," Econometrica, 52, 681-719.
14. Hall, D. (2001), "On the Application of Extended Quasi-Likelihood to the Clustered Data Case," The Canadian Journal of Statistics, 29, 77-97.
15. Hall, D., and Severini, T. A. (1998), "Extended Generalized Estimating Equations for Clustered Data," Journal of the American Statistical Association, 93, 1365-1375.
16. Hand, D., and Crowder, M. (1996), Practical Longitudinal Data Analysis, London: Chapman & Hall.
17. Heagerty, P. J., and Zeger, S. L. (1996), "Marginal Regression Models for Clustered Ordinal Measurements," Journal of the American Statistical Association, 91, 1024-1036.
18. Liang, K.-Y., and Zeger, S. L. (1986), "Longitudinal Data Analysis Using Generalized Linear Models," Biometrika, 73, 13-22.
19. Liang, K.-Y., Zeger, S. L., and Qaqish, B. (1992), "Multivariate Regression Analyses for Categorical Data," Journal of the Royal Statistical Society, Ser. B, 54, 3-24.
20. Lipsitz, S. R., Laird, N. M., and Harrington, D. P. (1991), "Generalized Estimating Equations For Correlated Binary Data: Using the Odds Ratio as a Measure of Association," Biometrika, 78, 153-160.
21. Núñez-Antón, V., and Woodworth, G. (1994), "Analysis of Longitudinal Data With Unequally Spaced Observations and Time-Dependent Correlated Errors," Biometrics, 50, 445-456.
22. O'Hara-Hines, R. (1998), "Comparison of Two Covariance Structures in the Analysis of Clustered Polytomous Data Using Generalized Estimating Equations," Biometrics, 54, 312-316.
23. Pendergast, J. F., Gange, S. J., Newton, M. A., Lindstrom, M. J., Palta, M., and Fisher, M. R. (1996), "A Survey of Methods for Analyzing Clustered Binary Response Data," International Statistical Review, 64, 89-118.
24. Pinheiro, J., and Bates, D. M. (2000), Mixed-Effects Models in S and S-PLUS. New York: Springer-Verlag.
25. Prentice, R. L., and Zhao, L. P. (1991), "Estimating Equations for Parameters in Means and Covariances of Multivariate Discrete and Continuous Responses," Biometrics, 47, 825-839.
26. Rotnitzky, A., and Jewell, N. P. (1990), "Hypothesis Testing of Regression Parameters in Semiparametiic Generalized Linear Models for Cluster Correlated Data," Biometrika, 77, 485-497.
27. SAS Institute (1996), SAS/STAT Software: Changes and Enhancements Through Release 6.12, Cary, NC: Author.
28. Segal, M. R., Neuhaus, J. M., and James, I. R. (1997), "Dependence Estimation for Marginal Models of Multivariate Survival Data," Lifetime Data Analysis, 3, 251-268.
29. Shults, J., and Chaganty, N. R. (1998), "Analysis of Serially Correlated Data Using Quasi-Likelihood Squares," Biometrics, 54, 1622-1630.
30. Sutradhar, B., and Das, K. (1999), "On the Efficiency of Regression Estimators in Generalized Linear Models for Longitudinal Data," Biometrika, 86, 459-465.
31. Tager, I., Muñoz, A., Rosner, B., Weiss, S., Carey, V., and Speizer, F. (1985), "Effect of Cigarette Smoking on the Pulmonary Function of Children and Adolescents," The American Review of Respiratory Disease, 131, 752-759.
32. Trègouët, D., Ducimetière, P., and Tiret, L. (1997), "Testing Association Between Candidate-Gene Markers and Phenotype in Related Individuals, by Use of Estimating Equations," American Journal of Human Genetics, 61, 189-199.
33. Wang, Y.-G., and Carey, V. (2003), "Working Correlation Structure Misspecification, Estimation and Covariate Design: Implications for GEE Performance," Biometrika, 90, 29-41.
34. Whittle, P. (1961), "Gaussian Estimation in Stationary Time Series," Bulletin International Statistical Institute, 39, 1-26.
35. Zhao, L. P., and Prentice, R. L. (1990), "Correlated Binary Regression Using a Quadratic Exponential Model," Biometrika, 77, 642-648.