A Bayesian prevalence incidence cure model for estimating survival using electronic health records with incomplete baseline diagnoses
Year: 2026
Type: article
Abstract: Retrospective cohorts can be extracted from electronic health records (EHRs) to study prevalence, time until disease or event occurrence, and cure proportion in real-world scenarios. However, EHRs are collected for patient care rather than research, and thus typically have complexities, such as patients with missing baseline disease status. Prevalence incidence (PI) models, which use a two-component mixture model to account for this missing data, have been proposed. However, PI models are biased in settings in which some individuals will never experience the endpoint (they are 'cured'). To address this, we propose a prevalence-incidence-cure (PIC) model, a three-component mixture model that combines the PI model framework with a cure model. Our PIC model enables estimation of the prevalence rate, time-to-incidence, and the cure proportion, and allows for covariate effects on each component. We adopt a Bayesian inference approach, and focus on the interpretability of the prior. We show in a simulation study that the PIC model has smaller bias than PI and cure models for the survival probability; and we compare inference under vague, informative and misspecified priors. We illustrate our PIC model using a dataset of 1964 patients who underwent treatment for diabetic macular oedema, and demonstrate improved fit under our model.
Authors: Matilda Pitt, Robert JB Goudie
Institution: University of Cambridge
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,400
OpenAlex ID: W7127414775
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