We adopt a hidden state approach for the analysis of longitudinal data subject to dropout. Motivated by two applied studies, we assume that subjects can move between three states: stable, crisis, dropout. Dropout is observed but the other two states are not. During a possibly transient crisis state both the longitudinal response distribution and the probability of dropout can differ from those for the stable state. We adopt a linear mixed effects model with subject-specific trajectories during stable periods and additional random jumps during crises. We place the model in the context of Rubin's taxonomy and develop the associated likelihood. The methods are illustrated using the two motivating examples. (C) 2011 Elsevier B.V. All rights reserved.

A hidden Markov model for informative dropout in longitudinal response data with crisis states / Spagnoli, Alessandra; Robin, Henderson; Richard J., Boys; Jeanine J., Houwing Duistermaat. - 81:7(2011), pp. 730-738. [10.1016/j.spl.2011.02.005]

A hidden Markov model for informative dropout in longitudinal response data with crisis states

SPAGNOLI, ALESSANDRA;
2011

Abstract

We adopt a hidden state approach for the analysis of longitudinal data subject to dropout. Motivated by two applied studies, we assume that subjects can move between three states: stable, crisis, dropout. Dropout is observed but the other two states are not. During a possibly transient crisis state both the longitudinal response distribution and the probability of dropout can differ from those for the stable state. We adopt a linear mixed effects model with subject-specific trajectories during stable periods and additional random jumps during crises. We place the model in the context of Rubin's taxonomy and develop the associated likelihood. The methods are illustrated using the two motivating examples. (C) 2011 Elsevier B.V. All rights reserved.
2011
change points; monotonic missing data; state space; random effects; mixed models
01 Pubblicazione su rivista::01a Articolo in rivista
A hidden Markov model for informative dropout in longitudinal response data with crisis states / Spagnoli, Alessandra; Robin, Henderson; Richard J., Boys; Jeanine J., Houwing Duistermaat. - 81:7(2011), pp. 730-738. [10.1016/j.spl.2011.02.005]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/500986
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