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

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  2. Professor Robin Henderson
  3. Professor Richard Boys
Author(s)Spagnoli A, Henderson R, Boys RJ, Houwing-Duistermaat JJ
Publication type Article
JournalStatistics and Probability Letters
Year2011
Volume81
Issue7
Pages730-738
ISSN (print)0167-7152
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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.
PublisherElsevier BV
URLhttp://dx.doi.org/10.1016/j.spl.2011.02.005
DOI10.1016/j.spl.2011.02.005
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