Model-based clustering of longitudinal data

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Title: Model-based clustering of longitudinal data
Authors: McNicholas, Paul D.Murphy, Thomas Brendan
Permanent link: http://hdl.handle.net/10197/2834
Date: Mar-2010
Online since: 2011-03-10T11:25:35Z
Abstract: A new family of mixture models for the model-based clustering of longitudinal data is introduced. The covariance structures of eight members of this new family of models are given and the associated maximum likelihood estimates for the parameters are derived via expectation-maximization (EM) algorithms. The Bayesian information criterion is used for model selection and a convergence criterion based on Aitken’s acceleration is used to determine convergence of these EM algorithms. This new family of models is applied to yeast sporulation time course data, where the models give good clustering performance. Further constraints are then imposed on the decomposition to allow a deeper investigation of correlation structure of the yeast data. These constraints greatly extend this new family of models, with the addition of many parsimonious models.
Funding Details: Higher Education Authority
Type of material: Journal Article
Publisher: Wiley
Journal: Canadian Journal of Statistics
Volume: 38
Issue: 1
Start page: 153
End page: 168
Copyright (published version): 2010 Statistical Society of Canada
Keywords: Cholesky decompositionLongitudinal dataMixture modelsModel-based clusteringTime course dataYeast sporulation
Subject LCSH: Decomposition method
Longitudinal method--Mathematical models
Mixture distributions (Probability theory)
Cluster analysis
Yeast--Growth--Mathematics
DOI: 10.1002/cjs.10047
Other versions: http://dx.doi.org/10.1002/cjs.10047
Language: en
Status of Item: Peer reviewed
ISSN: 1708-945X
This item is made available under a Creative Commons License: https://creativecommons.org/licenses/by-nc-sa/1.0/
Appears in Collections:Mathematics and Statistics Research Collection

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