Bivariate joint models for survival and change of cognitive function. (March 2023)

• Record Type: Journal Article
• Authors: Pan, Shengning; van den Hout, Ardo
• Is Part Of: Statistical methods in medical research. Volume 32:Number 3(2023)
• Page Start: 474
• Page End: 492
• Publication Date: 2023-03
• Subjects: Joint model -- bivariate binomial distribution -- cognitive function -- survival analysis -- shared random-effects model; Medicine -- Research -- Statistical methods -- Periodicals; Research -- Periodicals; Review Literature -- Periodicals; Statistics -- methods -- Periodicals; Médecine -- Recherche -- Méthodes statistiques -- Périodiques; 610.727
• DOI: 10.1177/09622802221146307
• Languages: English
• ISSNs: 0962-2802

Abstract

Changes in cognitive function over time are of interest in ageing research. A joint model is constructed to investigate. Generally, cognitive function is measured through more than one test, and the test scores are integers. The aim is to investigate two test scores and use an extension of a bivariate binomial distribution to define a new joint model. This bivariate distribution model the correlation between the two test scores. To deal with attrition due to death, the Weibull hazard model and the Gompertz hazard model are used. A shared random-effects model is constructed, and the random effects are assumed to follow a bivariate normal distribution. It is shown how to incorporate random effects that link the bivariate longitudinal model and the survival model. The joint model is applied to the English Longitudinal Study of Ageing data.