Marginal Models for Correlated Binary Responses with Multiple Classes and Multiple Levels of Nesting

1992/09/01 by Bahjat F. Qaqish, Kung-Yee Liang, K.-Y. Liang · 86 citations
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Mathematics · #Binary data #Binary number #Count data #Econometrics #Generalized estimating equation #Generalized linear model #Genetic and phenotypic traits in livestock #Genetics and Plant Breeding #Logistic regression #Marginal model #Mathematics #Nesting (process) #Odds #Quasi-likelihood #Regression analysis #Statistical Methods and Bayesian Inference #Statistics

paper · doi:10.2307/2532359

published in Biometrics 48(3), 939 (Oxford University Press)

openalex publication_date 1992/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A model for correlated binary data is presented. Marginal probabilities and odds ratios are allowed to have general regression structures that include multiple classes and multiple levels of nesting. Estimation is done through the generalized estimating equations approach of Liang and Zeger (1986, Biometrika 73, 13-22). They are contrasted with conditional models and recommendations for choosing between the two are given. Examples from genetic epidemiology are presented.

Citations

• Inference and missing data
• Longitudinal data analysis using generalized linear models

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