Correlation structure and variable selection in generalized estimating equations via composite likelihood information criteria

Nikoloulopoulos, Aristidis K. ORCID: https://orcid.org/0000-0003-0853-0084 (2016) Correlation structure and variable selection in generalized estimating equations via composite likelihood information criteria. Statistics in Medicine, 35 (14). pp. 2377-2390. ISSN 0277-6715

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Abstract

The method of generalized estimating equations (GEE) is popular in the biostatistics literature for analyzing longitudinal binary and count data. It assumes a generalized linear model (GLM) for the outcome variable, and a working correlation among repeated measurements. In this paper, we introduce a viable competitor: the weighted scores method for GLM margins. We weight the univariate score equations using a working discretized multivariate normal model that is a proper multivariate model. Since the weighted scores method is a parametric method based on likelihood, we propose composite likelihood information criteria as an intermediate step for model selection. The same criteria can be used for both correlation structure and variable selection. Simulations studies and the application example show that our method outperforms other existing model selection methods in GEE. From the example, it can be seen that our methods not only improve on GEEs in terms of interpretability and efficiency, but also can change the inferential conclusions with respect to GEE.

Item Type:	Article
Uncontrolled Keywords:	aic,bic,poisson regression,composite likelihood,generalized linear models,weighted scores
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Data Science and AI Faculty of Science > Research Groups > Statistics (former - to 2024) Faculty of Science > Research Groups > Numerical Simulation, Statistics & Data Science
Related URLs:	http://arxiv.org/abs/1510.06852
Depositing User:	Pure Connector
Date Deposited:	12 Nov 2015 16:00
Last Modified:	07 Nov 2024 12:38
URI:	https://ueaeprints.uea.ac.uk/id/eprint/55135
DOI:	10.1002/sim.6871

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