Estimating binary multilevel models through indirect inference

Computational Statistics and Data Analysis

Volumn 29, Issue 3, 1999, Pages 313-324

  Mealli, Fabrizia ^a   Rampichini, Carla ^a  

^a Viale Morgagni 59 I50134   (Italy)

Author keywords

Bias correction; Indirect inference; Multilevel logit models

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; ERROR CORRECTION; INFERENCE ENGINES; ITERATIVE METHODS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION;

BIAS CORRECTIONS; INDIRECT INFERENCES; INTRACTABLE LIKELIHOOD FUNCTIONS; MULTILEVEL LOGIT MODELS;

DATA REDUCTION;

ERROR CORRECTION; ESTIMATION METHOD; STATISTICAL ANALYSIS;

EID: 0033611444     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(98)00056-5     Document Type: Article

References (22)

1. An, Y., Liu, M., 1996. Using indirect inference to Solve the Initial Conditions Problem. Paper presented at the Optimizations Days Conf., Montreal, Quebec, 13-15 May 1996.
2. Anderson D.A., Aitkin M. Variance component models with binary response: interviewer variability. J. Roy. Statist. Soc. B. 47:1985;203-210.
3. Breslow N.E., Clayton D.G. Approximate inference in generalized linear mixed models. J. Amer. Statist. Assoc. 88:1993;9-25.
4. Breslow N.E., Lin X. Bias Correction in generalized linear mixed models with a single component of dispersion. Biometrika. 82:1995;81-91.
5. Calzolari, G., Fiorentini, G., Di Iorio, F., 1996. Control variates for variance reduction in indirect inference: interest rate models in continuous time. Working paper, 6, CEIBS, Shanghai.
6. Gallant, R., Tauchen, G., 1994. Which moments to match. Working paper, Duke University and the University of North Carolina at Chapel Hill.
7. Goldstein H. Nonlinear multilevel models, with an application to discrete response data. Biometrika. 78:1991;45-51.
8. Goldstein, H., 1996. Consistent estimators for multilevel generalized linear models using an iterated bootstrap Working Paper, Multilevel Models Project, University of London.
9. Goldstein, H., Rasbasch, J. 1996. Improved approximations for multilevel models with binary responses. Working Paper, Multilevel Models Project, University of London.
10. Gourieroux, C., Monfort, A., Renault, E., 1993. Indirect Inference. Journal of Applied Econometrics 8 S85-S118.
11. Gourieroux, C., Renault, E., Touzi, N., 1996. Calibration by simulation for small bias correction. Paper presented at the European Conference of the Econometrics Community, Florence, 12-14 December, 1996.
12. Hsiao, C., 1986. Analysis of panel data, Econometric Society monograph, No. 11, Cambridge University Press, Cambridge, USA.
13. Kuk A.Y. Asymptotically unbiased estimation in generalized linear models with random effects. J. Roy. Statist. Soc. B. 57:1995;395-407.
14. Lee Y., Nelder J.A. Hierarchical generalized linear models. J. Roy. Statist. Soc. B. 58:1996;619-678.
15. Lin X., Breslow N.E. Bias correction in generalized linear mixed models with multiple components of dispersion. J. Amer. Statist. Assoc. 91:1996;1007-1016.
16. Longford, N.T., 1988. A quasi-likelihood adaptation for variance component analysis. Proc. Statist. Comput. Sect. Am. Statist. Assoc.
17. Longford N.T., 1993. Random Coefficient Models. Claredon Press, London.
18. Longford N.T. Logistic regression with random coefficients. J. Comput. Statist. Data Anal. 17:1994;1-15.
19. Rasbash, J., Woodhouse, G., MLn Command Reference. Version 1.0, Multilevel Models Project, Institute of Education, University of London, 1995.
20. Rodriguez G., Goldman N. An assessment of estimation procedures for multilevel models with binary responses. J. Roy. Statist. Soc. A. 158:1995;73-89.
21. Stiratelli, R., Laird, N., Ware, J. H., 1984. Random-effects models for serial observations with binary response. Biometrics 40, 961-971.
22. Zeger, S.L., Karim, R.M., 1991. Generalized linear models with random effects: a Gibbs sampler approach. J. Amer. Statist. Assoc. 86, 79-86.