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Parametric latent class joint model for a longitudinal biomarker and recurrent events
Jun Han1, Elizabeth H Slate, Edsel A Peña
1Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA. jhan@mathstat.gsu.edu
This study introduces a joint statistical model to analyze longitudinal biomarkers and recurrent events, accounting for covariates and interventions. The model uses latent classes to capture population heterogeneity and improve understanding of disease progression, as demonstrated in an epilepsy study.
Area of Science:
- Biostatistics
- Longitudinal Data Analysis
- Survival Analysis
Background:
- Analyzing longitudinal biomarkers alongside recurrent events presents statistical challenges.
- Existing models may not fully capture the complex interplay between biomarker trajectories and event occurrences.
- Population heterogeneity can influence both biomarker levels and event rates.
Purpose of the Study:
- To propose a flexible joint statistical model for longitudinal biomarkers and recurrent event data.
- To incorporate the effects of covariates, accumulated events, and post-event interventions.
- To address underlying population heterogeneity using a latent class structure.
Main Methods:
- Developed a joint modeling framework linking biomarker and recurrent event processes.
- Employed a latent class structure to account for unobserved population heterogeneity.
- Utilized the Expectation-Maximization (EM) algorithm for parameter estimation and penalized likelihood for determining the number of latent classes.
Main Results:
- The proposed joint model effectively accommodates covariates influencing both biomarker and event processes.
- The latent class structure successfully captured associations between the biomarker and recurrent events, reflecting population heterogeneity.
- Model performance was validated through simulation studies and demonstrated on a real-world epileptic seizure dataset.
Conclusions:
- The developed joint model provides a robust approach for analyzing complex longitudinal biomarker and recurrent event data.
- The latent class approach effectively handles population heterogeneity, offering deeper insights into disease dynamics.
- This methodology is valuable for understanding disease progression and the impact of interventions in clinical studies, such as epilepsy research.
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