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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11600

Title: Discriminant analysis using a multivariate linear mixed model with a normal mixture in the random effects distribution
Authors: Komarek, Arnost
Hansen, Bettina E.
Kuiper, EdithM. M.
van Buuren, Henk R.
LESAFFRE, Emmanuel
Issue Date: 2010
Publisher: JOHN WILEY & SONS LTD
Citation: STATISTICS IN MEDICINE, 29 (30). p. 3267-3283
Abstract: We have developed a method to longitudinally classify subjects into two or more prognostic groups using longitudinally observed values of markers related to the prognosis. We assume the availability of a training data set where the subjects' allocation into the prognostic group is known. The proposed method proceeds in two steps as described earlier in the literature. First, multivariate linear mixed models are fitted in each prognostic group from the training data set to model the dependence of markers on time and on possibly other covariates. Second, fitted mixed models are used to develop a discrimination rule for future subjects. Our method improves upon existing approaches by relaxing the normality assumption of random effects in the underlying mixed models. Namely, we assume a heteroscedastic multivariate normal mixture for random effects. Inference is performed in the Bayesian framework using the Markov chain Monte Carlo methodology. Software has been written for the proposed method and it is freely available. The methodology is applied to data from the Dutch Primary Biliary Cirrhosis Study. Copyright (C) 2010 John Wiley & Sons, Ltd.
Notes: [Komarek, Arnost] Charles Univ Prague, Fac Math & Phys, Dept Probabil & Math Stat, Prague 18675 8, Karlin, Czech Republic. [Hansen, Bettina E.; Lesaffre, Emmanuel] Erasmus Univ, Dept Biostat, NL-3015 GE Rotterdam, Netherlands. [Hansen, Bettina E.; Kuiper, EdithM. M.; van Buuren, Henk R.] Erasmus MC, Dept Gastroenterol & Hepatol, NL-3015 GD Rotterdam, Netherlands. [Lesaffre, Emmanuel] Katholieke Univ Leuven, Interuniv Inst Biostat & Stat Bioinformat, B-3000 Louvain, Belgium. [Lesaffre, Emmanuel] Univ Hasselt, Hasselt, Belgium. arnost.komarek@mff.cuni.cz
URI: http://hdl.handle.net/1942/11600
DOI: 10.1002/sim.3849
ISI #: 000285846300019
ISSN: 0277-6715
Category: A1
Type: Journal Contribution
Validation: ecoom, 2012
Appears in Collections: Research publications

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