Discussion of "Generalized Estimating Equations: Notes on the Choice of the working Correlation Matrix"

Methods of Information in Medicine

Volumn 49, Issue 5, 2010, Pages 426-432

  Breitung, J ^a   Chaganty, N R ^b   Daniel, R M ^c   Kenward, M G ^c   Lechner, M ^c   Martus, P ^d   Sabo, R T ^e   Wang, Y G ^f   Zorn, C ^g  

^a UNIVERSITY OF BONN   (Germany)

^b OLD DOMINION UNIVERSITY   (United States)

^c LONDON SCHOOL OF HYGIENE AND TROPICAL MEDICINE   (United Kingdom)

^d UNIVERSITY OF ST GALLEN   (Switzerland)

^e CHARITÉ UNIVERSITÄTSMEDIZIN BERLIN   (Germany)

^f VIRGINIA COMMONWEALTH UNIVERSITY   (United States)

^g UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Correlation matrix; Generalized estimating equations; Independence estimating equations; Restriction of parameter space

Indexed keywords

EID: 83455219278     PISSN: 00261270     EISSN: None     Source Type: Journal    
DOI: 10.1055/s-0038-1625133     Document Type: Article

References (29)

1. Ziegler A, Vens M. Generalized Estimating Equations: Notes on the Choice of the Working Correlation Matrix. Methods Inf Med 2010; 49 (5): 421-425
2. Hayashi F. Econometrics: Princeton University Press; 2000.
3. Breitung J, Lechner M. Some GMM Estimation Methods and Specification Tests for Nonlinear Models. In: Matyas L, Sevestre P (eds). The Econo-metrics of Panel Data. 2nd edition. Dordrecht: Kluwer; 1996. pp 583-612
4. Andrews DWK. Consistent Moment Selection Procedures for Generalized Methods of Moments Estimation. Econometrica 1999; 67: 543-564
5. Donald SG, Newey WK. Choosing the number of instruments. Econometrica 2001; 69: 1161-1192
6. Doran H, Schmidt P. GMM Estimators with Improved Finite Sample Properties Using Principal Components of the Weighting Matrix, with an Application to the Dynamic Panel Data Model. Journal of Econometrics 2006; 133: 387-409
7. Hall AR, Peixe FPM. A consistent method for the selection of relevant instruments. Econometric Reviews 2003; 3: 269-287
8. Hall AR, Inoue A, Jana K, Shin C. Information in generalized method of moments estimation and entropy-based moment selection. Journal of Eco-nometrics 2007; 138: 488-512
9. Chaganty NR, Joe H. Range of correlation matrices for dependent Bernoulli random variables. Bio-metrika 2006; 93 (1): 197-206
10. Chaganty NR, Mav D. Estimation methods for analyzing longitudinal data occurring in biomedical research. In: Khattree R, Naik DN (eds). Computational Methods in Biomedical Research. London, Boca Raton, FL: Chapman and Hall, CRC; 2007; 12: 371-400
11. Sabo RT, Chaganty NR. What can go wrong when ignoring correlation bounds in the use of generalized estimating equations. Statistics in Medicine 2010. DOI: 10.1002/sim.4013.
12. Ashford JR, Sowden RR. Multi-variate probit analysis. Biometrics 1970; 26 (3): 535-546
13. Crowder M. On the use of working correlation matrix in using generalised linear models for repeated measures. Biometrika 1995; 82: 407-410
14. Chaganty NR, Joe H. Efficiency of generalized estimating equations for binary responses. Journal of the Royal Statistical Society, B 2004; 66 (4): 851-860
15. Lee Y, Nelder JA. Conditional and marginal models: Another view. Statistical Science 2004; 19 (2): 219-238
16. Daniel RM. On Aspects of Robustness and Sensitivity in Missing Data Methods. Unpublished PhD thesis. London School of Hygiene and Tropical Medicine, UK, 2009.
17. Liang K-Y, Zeger SL. Longitudinal data analysis using generalized linear models. Biometrika 1986; 73: 13-22
18. Molenberghs G, Kenward MG. Missing Data in Clinical Studies. Chichester: Wiley; 2007.
19. Rubin DB. Inference and missing data. Biometrika 1976; 63: 581-592
20. Seaman S, Copas A.J. Doubly robust generalised estimating equations for longitudinal data. Statistics in Medicine 2009; 28: 937-955
21. Tsiatis AA. Semiparametric Theory and Missing Data. New York: Springer; 2006.
22. Bertschek I, Lechner M. Convenient estimators for the panel probit model. Journal of Econometrics 1998; 87: 329-371
23. Chamberlain G. Asymptotic efficiency in estima-tion with conditional moment restrictions. Journal of Econometrics 1987; 34: 305-334
24. Hansen L. Large sample properties of generalized methods of moments estimators. Econometrica 1982; 50: 1029-1055
25. Newey WK. Effcient estimation of models with conditional moment restrictions. In: Maddala G, Rao C, Vinod H (eds.). Handbook of Statistics, vol 11, chap 16. North-Holland, Amsterdam; 1993.
26. Newey WK. Efficient instrumental variables estimation of nonlinear models. Econometrica 1990; 59: 809-837
27. Fitzmaurice GM. A caveat concerning independence estimating equations with multivariate binary data. Biometrics 1995; 51: 309-317
28. Wang Y-G, Hin L-Y. Modeling strategies in longitudinal data analysis: Covariate, variance function and correlation structure selection. Computational Statistics and Data Analysis; 2009. Doi: 10.1016/j.csda.2009.11.006.
29. Hubbard AE, Ahern J, Fleischer N, Laan M, Lippman S, Jewell N, Bruckner T, Satariano W. To GEE or Not to GEE: Comparing Population Average and Mixed Models for Estimating the Associations Between Neighborhood Risk Factors and Health. Epidemiology 2010; 21: 467-474.