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Modelling growth and decline in lung function in Duchenne's muscular dystrophy with an augmented linear mixed effects model
Author(s) -
Scott Marc A.,
Norman Robert G.,
Berger Kenneth I.
Publication year - 2004
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/j.1467-9876.2004.05278.x
Subject(s) - mixed model , duchenne muscular dystrophy , generalized linear mixed model , random effects model , mathematics , linear growth , linear model , lung function , muscular dystrophy , function (biology) , extension (predicate logic) , statistics , econometrics , computer science , lung , medicine , biology , meta analysis , evolutionary biology , programming language
Summary. Longitudinal modelling of lung function in Duchenne's muscular dystrophy is complicated by a mixture of both growth and decline in lung function within each subject, an unknown point of separation between these phases and significant heterogeneity between individual trajectories. Linear mixed effects models can be used, assuming a single changepoint for all cases; however, this assumption may be incorrect. The paper describes an extension of linear mixed effects modelling in which random changepoints are integrated into the model as parameters and estimated by using a stochastic EM algorithm. We find that use of this ‘mixture modelling’ approach improves the fit significantly.