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Estimation of multi-state models with missing covariate values based on observed data likelihood
Authors:Wenjie Lou  Erin L. Abner  Lijie Wan  David W. Fardo  Richard Lipton  Mindy Katz
Affiliation:1. Department of Statistics, University of Kentucky, Lexington, Kentucky, USA;2. Sanders-Brown Center on Aging, University of Kentucky, Lexington, Kentucky, USA;3. Sanders-Brown Center on Aging, University of Kentucky, Lexington, Kentucky, USA;4. Department of Epidemiology, University of Kentucky, Lexington, Kentucky, USA;5. Department of Biostatistics, University of Kentucky, Lexington, Kentucky, USA;6. Department of Neurology, Albert Einstein College of Medicine, New York City, New York, USA
Abstract:Abstract

Continuous-time multi-state models are commonly used to study diseases with multiple stages. Potential risk factors associated with the disease are added to the transition intensities of the model as covariates, but missing covariate measurements arise frequently in practice. We propose a likelihood-based method that deals efficiently with a missing covariate in these models. Our simulation study showed that the method performs well for both “missing completely at random” and “missing at random” mechanisms. We also applied our method to a real dataset, the Einstein Aging Study.
Keywords:Longitudinal data  multi-state model  missing covariate  MAR  MCAR
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