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1.  Estimating time-to-event from longitudinal ordinal data using random-effects Markov models: application to multiple sclerosis progression 
Biostatistics (Oxford, England)  2008;9(4):750-764.
Longitudinal ordinal data are common in many scientific studies, including those of multiple sclerosis (MS), and are frequently modeled using Markov dependency. Several authors have proposed random-effects Markov models to account for heterogeneity in the population. In this paper, we go one step further and study prediction based on random-effects Markov models. In particular, we show how to calculate the probabilities of future events and confidence intervals for those probabilities, given observed data on the ordinal outcome and a set of covariates, and how to update them over time. We discuss the usefulness of depicting these probabilities for visualization and interpretation of model results and illustrate our method using data from a phase III clinical trial that evaluated the utility of interferon beta-1a (trademark Avonex) to MS patients of type relapsing–remitting.
doi:10.1093/biostatistics/kxn008
PMCID: PMC2536724  PMID: 18424785
Markov model; Ordinal response; Prediction; Transition model

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