Comparison of hierarchical and marginal likelihood estimators for binary outcomes

Computational Statistics and Data Analysis

Volumn 45, Issue 3, 2004, Pages 639-650

  Yun, Sungcheol ^a   Lee, Youngjo ^a  

^a Seoul National University   (South Korea)

Author keywords

Binary data; Gauss Hermite quadrature; Hierarchical likelihood; Joint model; Marginal likelihood; Random effects

Indexed keywords

DATA REDUCTION; ESTIMATION; INTEGRATION; MATHEMATICAL MODELS;

BINARY DATA; RANDOM-EFFECT MODELS;

NUMERICAL METHODS;

STATISTICAL ANALYSIS;

EID: 1842630326     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(03)00033-1     Document Type: Article

References (27)

1. Aitken A.C. On Bernoulli's numerical solution of algebraic equations Proc. Roy. Soc. Edinburgh 46 1926 289-305
2. Bjrnstad J.F. On the generalization of the likelihood function and likelihood principle J. Amer. Statist. Assoc. 91 1996 791-806
3. Booth J. Hobert J. Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm J. Roy. Statist. Soc. B 62 1999 265-285
4. Breslow N.E. Clayton D.G. Approximate inference in generalized linear mixed models J. Amer. Statist. Assoc. 88 1993 9-25
5. Breslow N.E. Lin X. Bias correction in generalized linear mixed models with a single component of dispersion Biometrika 82 1995 81-91
6. Cox D.R. Reid N. Parameter orthogonality and approximate conditional inference J. Roy. Statist. Soc. B 32 1987 1-18
7. 2) dt: application to logistic-normal models J. Amer. Statist. Assoc. 85 1990 464-469
8. Gueorguieva R.V. A multivariate generalized linear mixed model for joint modelling of clustered outcomes in the exponential family Statist. Modelling 1 2001 177-193
9. Ha I.D. Lee Y. Song J.-K. Hierarchical likelihood approach for frailty models Biometrika 88 2001 233-243
10. Ha I.D. Lee Y. Song J.-K. Hierarchical likelihood approach for mixed linear models with censored data Lifetime Data Anal. 8 2002 163-176
11. Hinde J. Compound poisson regression models Gilchrist R. GLIM 82 1982 109-121 Springer New York
12. Johnson R.A. Wichern D.W. Applied Multivariate Statistical Analysis 3rd Edition 1992 Prentice-Hall Englewood Cliffs, NJ
13. Lee Y. Robust variance estimators for fixed-effect estimates with hierarchical likelihood Statist. Comput. 12 2002 201-207
14. Lee Y. Nelder J.A. Hierarchical generalized linear models J. Roy. Statist. Soc. B 58 1996 619-678 (with discussion)
15. Lee Y. Nelder J.A. Hierarchical generalized linear models: a synthesis of generalized linear models, random-effect model and structured dispersion Biometrika 88 2001 987-1006
16. Lee Y. Nelder J.A. Modelling and analysing correlated non-normal data Statist. Modelling 1 2001 3-16
17. Lee Y. Nelder J.A. Analysis of the ulcer data using hierarchical generalized linear models Statist. Med. 21 2002 191-202
18. Lesaffre E. Spiessens B. On the effect of the number of quadrature points in a logistic random-effects model: an example Appl. Statist. 50 2001 325-335
19. Liu Q. Pierce D.A. Heterogeneity in Mantel-Haenszel-type models Biometrika 80 1993 543-546
20. Longford N.T. Logistic regression with random coefficients Comput. Statist. Data. Anal. 49 1994 975-988
21. McCulloch C.E. Maximum likelihood algorithms for generalized linear mixed models J. Amer. Statist. Assoc. 92 1997 162-170
22. Pawitan Y. In all likelihood: statistical modelling and inference using likelihood 2001 Clarendon Press Oxford
23. Payne R.W. Baird D.B. Cherry M. Gilmour A.R. Harding S.A. Lane P.W. Morgan G.W. Murray D.A. Soutar D.M. Thompson R. Todd A.D. Tunnicliffe Wilson G. Webster R. Welham S.J. The Guide to GenStat, Part 2: Statistics 2002 VSN International Oxford
24. Price C.J. Kimmel C.A. Tyle R.W. Marr M.C. The developmental toxicity of Ethylene Glycol in rates and mice Toxicol. Appl. Pharmacol. 81 1985 113-127
25. Stiratelli R. Laird N. Ware J. Random effect model for serial observations with binary response Biometric 40 1984 961-971
26. Wolfinger, R.D., 1999. Fitting nonlinear mixed models with the new NLMIXED procedure. Paper 287, Proceedings of the 99 Joint Statistical Meetings.
27. Zeger S.L. Karim M.R. Generalized linear models with random effects: a Gibbs sampling approach J. Amer. Statist. Assoc. 86 1991 79-86