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GEEs for repeated categorical responses based on generalized residuals

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Pardo Llorente, María del Carmen and Alonso Sanz, Rosa (2014) GEEs for repeated categorical responses based on generalized residuals. Journal of Statistical Computation and Simulation, 84 (2). pp. 344-359. ISSN 0094-9655

Official URL: http://www.tandfonline.com/doi/abs/10.1080/00949655.2012.709355#.UtUmbPTuImM


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Abstract

Clustered or correlated samples of categorical response data arise frequently in many fields of application. The method of generalized estimating equations (GEEs) introduced in Liang and Zeger [Longitudinal data analysis using generalized linear models, Biometrika 73 (1986), pp. 13-22] is often used to analyse this type of data. GEEs give consistent estimates of the regression parameters and their variance based upon the Pearson residuals. Park et al. [Alternative GEE estimation procedures for discrete longitudinal data, Comput. Stat. Data Anal. 28 (1998), pp. 243-256] considered a modification of the GEE approach using the Anscombe residual and the deviance residual. In this work, we propose to extend this idea to a family of generalized residuals. A wide simulation study is conducted for binary and Poisson correlated outcomes and also two numerical illustrations are presented.


Item Type:Article
Uncontrolled Keywords:generalized estimating equation; generalized residuals; Repeated measures; longitudinal binary data; longitudinal Poisson data
Subjects:Sciences > Mathematics > Mathematical statistics
ID Code:24210
Deposited On:14 Jan 2014 12:08
Last Modified:14 Jan 2014 12:08

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