Latent time-varying factors in longitudinal analysis: a linear mixed hidden Markov model for heart rates

Statistics in Medicine
Francesco LagonaMaria Shkolnikova

Abstract

Longitudinal data are often segmented by unobserved time-varying factors, which introduce latent heterogeneity at the observation level, in addition to heterogeneity across subjects. We account for this latent structure by a linear mixed hidden Markov model. It integrates subject-specific random effects and Markovian sequences of time-varying effects in the linear predictor. We propose an expectationŰ-maximization algorithm for maximum likelihood estimation, based on data augmentation. It reduces to the iterative maximization of the expected value of a complete likelihood function, derived from an augmented dataset with case weights, alternated with weights updating. In a case study of the Survey on Stress Aging and Health in Russia, the model is exploited to estimate the influence of the observed covariates under unobserved time-varying factors, which affect the cardiovascular activity of each subject during the observation period.

References

Nov 15, 1996·Journal of the American College of Cardiology·H TsujiD Levy
Mar 12, 1999·Annual Review of Medicine·P K Stein, R E Kleiger
May 23, 2001·JAMA : the Journal of the American Medical Association·UNKNOWN Expert Panel on Detection, Evaluation, and Treatment of High Blood Cholesterol in Adults
Jun 6, 2003·European Heart Journal·R M ConroyUNKNOWN SCORE project group
Nov 6, 2003·Age and Ageing·Holly SyddallAvan Aihie Sayer
Sep 15, 2007·Statistical Methods in Medical Research·Jeroen K Vermunt
Sep 29, 2007·The Australian Journal of Physiotherapy·Mark Stewart
Apr 30, 2008·Nature Genetics·David ReichNick Patterson
Aug 13, 2008·Genetics, Selection, Evolution : GSE·Johann C Detilleux
Jul 29, 2010·Pacing and Clinical Electrophysiology : PACE·David NunanDavid A Brodie
Oct 19, 2010·Journal of Computational and Graphical Statistics : a Joint Publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America·Jean-Patrick BaudryRaphaël Gottardo
Feb 22, 2012·European Journal of Preventive Cardiology·Matthieu PlichartXavier Jouven
Jun 6, 2012·PloS One·Tommaso CostaMario Ferraro
Jan 26, 2013·Statistics in Medicine·Roland LangrockCiprian M Crainiceanu
Feb 14, 2013·Pflügers Archiv : European journal of physiology·Peter Smetana, Marek Malik

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Citations

May 24, 2016·Journal of Bodywork and Movement Therapies·Dorothea Blostein
Apr 21, 2020·Biometrical Journal. Biometrische Zeitschrift·Francesco LagonaElisabetta Barbi

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