A comparison of estimation methods for multilevel logistic models

Computational Statistics

Volumn 18, Issue 1, 2003, Pages 19-37

  Moerbeek, Mirjam ^a   Van Breukelen, Gerard J P ^b   Berger, Martijn P F ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b MAASTRICHT UNIVERSITY   (Netherlands)

Author keywords

Experimental data; Multilevel logistic model; Numerical integration; Penalized Quasi Likelihood; Test statistic

Indexed keywords

EID: 0038272009     PISSN: 09434062     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001800300130     Document Type: Article

References (16)

1. Bryk, A. S., Raudenbush, S. W., & Congdon, R. T., Jr. (1996). HLM: Hierarchical Linear and Nonlinear Modeling with the HLM/3L and HLM/3L Programs. Scientific Software International-Chicago.
2. Gibbons, R. D., & Hedeker, D. (1997). Random effects probit and logistic regression models for three-level data. Biometrics, 53, 1527-1537.
3. Goldstein, H. (1986). Multilevel mixed linear model analysis using iterative generalized least squares. Biometrika, 73, 43-56.
4. Goldstein, H. (1989). Restricted unbiased iterative generalized least squares estimation. Biometrika, 76, 622-623.
5. Goldstein, H. (1991). Nonlinear multilevel models, with an application to discrete response data. Biometrika, 78, 45-51
6. Goldstein, H. (1995). Multilevel statistical models, 2nd edn., Edward Arnold- London.
7. Goldstein, H., & Rasbash, J. (1996). Improved approximations for multilevel models with binary responses. Journal of the Royal Statistical Society, Series A, 159, 505-513.
8. Goldstein, H, Rasbash, J, Plewis, I, Draper, D., Browne, W., Yang, M., Woodhouse, G., & Healy, M. (1998). A user's guide to MLwiN. Institute of Education-London.
9. Hedeker, D., & Gibbons, R. D. (1994). A random-effects ordinal regression model for multilevel analysis. Biometrics, 50, 933-944.
10. Hedeker, D., & Gibbons, R. D. (1996). MIXOR: a computer program for mixed-effects ordinal regression analysis. Computer Methods and Programs in Biomedicine, 49, 157-176.
11. Lindstrom, M. J., & Bates, D. M. (1990). Nonlinear mixed effects models for repeated measures data. Biometrics, 46, 673-687.
12. Moerbeek, M., Van Breukelen, G. J. P., & Berger, M. P. F. (2001). Optimal experimental designs for multilevel logistic models. The Statistician, 50, 17-30.
13. st edn., Springer-Verlag, New York.
14. Rodríguez, G., & Goldman, N. (1995). An assessment of estimation procedures for multilevel models with binary data. Journal of the Royal Statistical Society, Series A, 158, 73-89.
15. Rodríguez, G., & Goldman, N. (2001). Improved estimation procedures for multilevel models with binary response: a case-study. Journal of the Royal Statistical Society, Series A, 164, 339-355.
16. Zhou, X.-H., Perkins, A. K., & Hui, S. L. (1999). Comparisons of software packages for generalized linear multilevel models. The American Statistician, 53, 3.