Related Experiment Video
Updated: Apr 18, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
Joint modelling of repeated measurement and time-to-event data: an introductory tutorial
Özgür Asar1, James Ritchie2, Philip A Kalra2
1CHICAS, Lancaster Medical School, Lancaster University, Lancaster, UK, Vascular Research Group, Manchester Academic Health Sciences Centre, University of Manchester, Salford Royal NHS Foundation Trust, UK and Institute of Infection and Global Health, University of Liverpool, Liverpool, UK o.asar@lancaster.ac.uk.
Joint modelling improves analysis of repeated measurements and survival data, especially when data has errors. This statistical approach offers more accurate insights than separate analyses for kidney function and renal replacement therapy initiation.
Area of Science:
- Statistics
- Biostatistics
- Medical Statistics
Background:
- Joint modelling statistically integrates longitudinal and time-to-event data.
- Commonly applied in nephrology, analyzing estimated glomerular filtration rate (eGFR) and renal replacement therapy (RRT) initiation.
- Combines linear mixed-effects models for repeated measures and Cox models for survival data.
Purpose of the Study:
- To provide an introductory tutorial on joint modelling methods.
- To compare joint modelling with separate analysis approaches.
- To present a case study in nephrology using the CRISIS dataset.
Main Methods:
- Developed a joint modelling framework.
- Compared joint models with separate linear mixed-effects and Cox models.
- Utilized data from the Chronic Renal Insufficiency Standards Implementation Study (CRISIS).
Main Results:
- Longitudinal component results were similar between joint and linear mixed-effects models.
- Significant differences observed in the time-to-event component compared to Cox models.
- Cox models underestimated the association between eGFR and RRT hazard due to unaddressed measurement error.
Conclusions:
- Joint models are preferred for simultaneous analysis of longitudinal and survival data.
- Recommended especially when longitudinal data contains measurement error.
- Crucial for understanding the association between underlying error-free measurements and survival hazard.
Related Concept Videos
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
Multicompartment Models: Overview
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Mechanistic Models: Compartment Models in Individual and Population Analysis
Introduction To Survival Analysis
The primary goal of survival analysis is to estimate survival time—the time...
Comparing the Survival Analysis of Two or More Groups

