¹Universidad Autónoma de Guerrero, Facultad de Matemática, Acapulco, México. Profesora titular. Email: ernestinacg@yahoo.com
²Universidad Veracruzana, Facultad de Estadística e Informática, Xalapa, México. Profesor titular. Email: mojeda@uv.mx
³Instituto de Cibernética, Matemática y Física, Departamento de Matemática, La Habana, Cuba. Investigadora auxiliar. Email: minerva@icmf.inf.cu

En este artículo se describe un procedimiento para la estimación de parámetros fijos y aleatorios en modelos multinivel para proporciones. El procedimiento de estimación se basa en el método de los mínimos cuadrados generalizados. Una vez que se formula el modelo, se demuestra que es posible aplicar la teoría asintótica de estimación en el marco del modelo lineal general. Se elabora un algoritmo que permite calcular los estimadores propuestos. La aplicación se ilustra con un ejemplo de meta-análisis. Se concluye que el procedimiento presentado puede ser una estrategia favorable en investigaciones aplicadas.

Palabras clave: mínimos cuadrados generalizados iterativos, modelos multinivel, tablas de contingencia.

This paper describes a procedure for the estimation of fixed and random parameters in multilevel model for proportions. The estimation procedure is developed using Iterative Generalized Least Squares. Once the model is formulated, we demonstrate that it is possible to apply the asymptotic estimation theory in the framework of the general lineal model. An algorithm to calculate the proposed estimators is elaborated. We illustrate the application using an example of meta-analysis. It is concluded that the proposed procedure can be favorable strategy to do applied research.

Key words: Contingency tables, Iterative generalized least squares, Multilevel models.

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