Published
PROCEDIMIENTO Y ALGORITMO DE ESTIMACIÓN EN MODELOS MULTINIVEL PARA PROPORCIONES
PROCEDURE AND ESTIMATION ALGORITHM IN MULTILEVEL MODELS FOR PROPORTIONS
Keywords:
mínimos cuadrados generalizados iterativos, modelos multinivel, tablas de contingencia (es)Contingency tables, Iterative generalized least squares, Multilevel (en)
Downloads
References
Abrams, K. & Sans6, B. (1998), 'Approximate Bayesian Inference for Random Effects meta-analysis', Statistics in Medicine 17, 201-218.
Agresti, A. (2002), Categorical Data Analysis, Wiley, New York.
Anderson, T. W. (1958), An Introduction to Multivariate Statistical Analysis, Wiley, New York.
Breslow, N. E. & Zhao, L. P. (1988), 'Logistic Regression for Stratified Case-Control Studies', Biometrics 44, 891-899.
Brik, A. S. & Raudenbush, S. W. (1992), Hierarchical Linear Models: Applications and Data Analysis Methods, Sage Publications, California.
Castells, E. (1985), Estimación en un modelo con parametros aleatorios, Tesis de maestrfa, Facultad de Matematica, Universidad de La Habana, La Habana.
Efron, B. (1996), 'Empirical Bay-es Methods for Combining Likelihoods',
Journal of the American Statistical Association 96(434), 538-565.
Fears, T. R. & Brown, C. C. (1986), 'Logistic Regression Methods for Retrospective Case-Control Dtudies using Complex Sampling Procedures', Biometrics 42, 955-960.
Forthofer, R. N. & Lehnen, R. G. (1981), Public Program Analysis: A New Categorical Data Approach, Lifetime Learning Publications, Belmont, California.
Forthoper, R. N. & Koch, G. G. (1973), 'An Analysis for Compounded
Functions of Categorical Data', Biometrics 29, 143-157.
Fotouhi, A. R. (2003), 'Comparisons of Estimation Procedures for Nonlinear Mul-tilevel Models', Journal of Statistical Software 8(9), 1-39.
Gilks, W. R., Thomas, A. & Spiegelhalter, D. J. (1994), 'A language and Program for Complex Bayesian Modelling', Statistician 43, 169-177.
Glass, G. V. (1976), 'Primary, Secondary and Meta-Analysis of Research',
Educational Researcher 5, 3-8.
Goldstein, H. (1987), Multilevel Models in Educational and Social Research, Charles Griffin, London.
Goldstein, H. (1995), Multilevel Statistical Models, 2 edn, Halsted Press, New York.
Goldstein, H. & Rasbash, J. (1996), 'Improved Approximations for Multilevel Mo-dels with Binary Responses', Journal of the Royal Statistical Society. Series A (57), 395-407.
Goldstein, H., Rasbash, J., Plewis, I., Draper, D., Browne, W., Yang, M., Wood-house, G. & MJR, H. (1998), A usert's guide to MLwiN, Institute of
Education.
Grizzle, J. E., Starmer, C. F. & Koch, G. G. (1969), 'Analysis of Categorical Data by Linear Models', Biometrics 25, 489-504.
Hamerle, A. & Honning, G. (1995), Panel analysis for qualitative variables, in G. Arminger, C. C. Clogg & M. E. Sobel, eds, 'A Handbook for Statistical Modeling in the Social and Behavioral Sciences', Plenum, New York, pp. 401-451.
Hartzel, J., Liu, I.-M. & Agresti, A. (2001), 'Describing Heterogeneous Effects in Stratified Ordinal Contingency Tables, with Application to
Multi-CCenter clinical trials', Computational Statistics and Data
Analysis 35, 429-499.
Hedges, L. V. & Olkin, I. (1985), Statistical Methods for Meta-analysis, Academic Press, New York.
Hsiao, C. (1995), Analysis of Panel Data, Cambridge University Press, New York.
Kleffe, J. (1976), 'A Note on MINQUE for Normal Models', Mathematische Operationsforschung and Statistik 7, 107-114.
Kuk, A. Y. C. (1995), `Asymtotically Unbiased Estimation in Generalized Linear Models with Random Effects', Journal of the Royal Statistical Socity 57, 395-407.
Lee, Y. & Nelder, J. A. (2002), 'Analysis of Ulcer data Using Hierarchical Generalized Linear Models', Statistics in Medicine 21, 191-202.
Longford, N. (1995), Random coefficient models: Handbook of Statistiscal
Modeling for the Social and Behavioral Sciences, Plenum Press, New York.
Lubin, J. H., Blot, W. J., Berrino, F., Flamant, R., Gillis, C. R., Kunze, M., Schmawhl, D. & Visco, G. (1984), 'Patterns of Lung Cancer Risg According to Type of Cigarrette Smoked', International Journal of Cancer 33, 569-576.
Montero, M. (2006), Analisis de tablas de contingencia: un enfoque multinivel, Tesis de doctorado, Facultad de Matematica, Universidad de La Habana, La Habana.
Montero, M., Castell, E. & Ojeda, M. M. (2007), 'Fitting a Multilevel
Model to a Sample of Contingency Tables using the GSK Approach', Revista
Investiga-cion Operacional 28(3), 204-214.
Montero, M., Castell, E. & Ojeda, M. M. (2008), 'Analysis of a Contingency Tables sample: A Simulation Study', Revista Ciencias Matemáticas 24, 83-92.
Montero, M. & Guerra, V. (2005), 'Estimating Multilevel Models for Categorical Data via Generalized Least Squares', Revista Colombiana de Estadfstica. 21(8), 63-76.
Rao, C. R. (1973), Linear Statistical Inference and Its Applications, segunda edn, John Wiley & Sons, Inc., New York.
Rudas, T. (1986), 'A Monte Carlo Comparison of the Small Sample Behavior of the Pearson, the Likelihood Ratio and the Cressie-Read Statistics', Journal of Statistical Computation and Simulation (24), 107-120.
Schmidt, T. C., Spiegelhalter, D. J. & Thomas, A. (1995), `Bayesian Approaches to Random'effects Meta-analysis: A Comparative Study',
Statistics in Medicine 14, 2685-2699.
Snijders, T. A. B. & Bosker, R. (1999), Introduction to Basic and Advanced Mul-tilevel Modelling, Sage, London.
Turner, R. M., Omar, R. Z., Yang, M., Goldstein, H. & Thompson, S. G. (2000), `Multilevel models for meta-analysis of clinical trials with binary outcomes', Statistics in Medicine 19, 3417-3432.
License
Copyright (c) 2010 Revista Colombiana de Estadística

This work is licensed under a Creative Commons Attribution 4.0 International License.
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).






