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Joint Models for Time-to-Event and Categorical Longitudinal Outcomes

(2020)

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Abstract
In clinical research, subjects are generally observed over a period of time during which longitudinal and time-to-event outcomes are recorded. The main interest is to assess potential associations between these two outcomes by fitting joint models. In this thesis, we present the joint modelling framework motivated by the time-to-event point of view and we propose an approach for continuous and categorical longitudinal outcomes. We present methods for estimating joint models from the frequentist and Bayesian perspectives. The methodology is then applied to the intensive care unit (ICU) database. Patients admitted to ICUs are likely to develop delirium. We use joint models to study the association between longitudinal measurements of hypotension episodes and the hazard of developing delirium. We also present and use different association structures between the two outcomes.