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Working‐correlation‐structure identification in generalized estimating equations
Authors:Lin‐Yee Hin  You‐Gan Wang
Affiliation:1. 207, Yat Tung Shopping Center, Tung Chung, Hong Kong;2. CSIRO Mathematical and Information Sciences, CSIRO Long Pocket Laboratories, 120 Meiers Road, Indooroopilly, Qld. 4068, Australia
Abstract:Selecting an appropriate working correlation structure is pertinent to clustered data analysis using generalized estimating equations (GEE) because an inappropriate choice will lead to inefficient parameter estimation. We investigate the well‐known criterion of QIC for selecting a working correlation structure, and have found that performance of the QIC is deteriorated by a term that is theoretically independent of the correlation structures but has to be estimated with an error. This leads us to propose a correlation information criterion (CIC) that substantially improves the QIC performance. Extensive simulation studies indicate that the CIC has remarkable improvement in selecting the correct correlation structures. We also illustrate our findings using a data set from the Madras Longitudinal Schizophrenia Study. Copyright © 2008 John Wiley & Sons, Ltd.
Keywords:clustered data  correlation modelling  correlation information criterion  covariance  efficiency  generalized estimating equations  model selection  QIC  working correlation structure
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