%0 Journal Article %T Bayesian latent time joint mixed effect models for multicohort longitudinal data %A Dan Li %A Michael C Donohue %A Samuel Iddi %A Wesley K Thompson %A null %J Statistical Methods in Medical Research %@ 1477-0334 %D 2019 %R 10.1177/0962280217737566 %X Characterization of long-term disease dynamics, from disease-free to end-stage, is integral to understanding the course of neurodegenerative diseases such as Parkinson¡¯s and Alzheimer¡¯s, and ultimately, how best to intervene. Natural history studies typically recruit multiple cohorts at different stages of disease and follow them longitudinally for a relatively short period of time. We propose a latent time joint mixed effects model to characterize long-term disease dynamics using this short-term data. Markov chain Monte Carlo methods are proposed for estimation, model selection, and inference. We apply the model to detailed simulation studies and data from the Alzheimer¡¯s Disease Neuroimaging Initiative %K Hierarchical Bayesian models %K joint mixed effects models %K latent time shift %K multicohort longitudinal data %U https://journals.sagepub.com/doi/full/10.1177/0962280217737566