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Updated: May 9, 2025

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
A Bayesian joint longitudinal-survival model with a latent stochastic process for intensive longitudinal data.
Madeline R Abbott1, Walter H Dempsey1, Inbal Nahum-Shani2
1Department of Biostatistics, University of Michigan, Ann Arbor, MI 48109, United States.
This study introduces a new statistical model for analyzing intensive longitudinal data (ILD) from mobile health (mHealth) studies. The model efficiently captures how changing emotional states impact smoking cessation success and relapse risk.
Area of Science:
- Biostatistics
- Digital Health
- Behavioral Science
Background:
- Mobile health (mHealth) technology facilitates intensive longitudinal data (ILD) collection, offering insights into dynamic health outcomes.
- Existing joint models for longitudinal and event-time data struggle with ILD's complexity and computational demands.
Purpose of the Study:
- To propose a novel joint longitudinal and time-to-event model optimized for analyzing intensive longitudinal data (ILD).
- To assess the model's performance through simulations and application to a smoking cessation mHealth study.
Main Methods:
- Summarizing multivariate longitudinal outcomes into time-varying latent factors using an Ornstein-Uhlenbeck stochastic process.
- Parametrically modeling the risk of a time-to-event outcome within a hazard model framework.
- Employing a Bayesian approach for model fitting and performance evaluation.
Main Results:
- The proposed model effectively analyzes ILD, summarizing complex emotional states (positive and negative affect) from 9 emotions.
- These latent states were found to capture the risk of smoking lapse following a quit attempt.
- The model demonstrated suitability for analyzing data from mHealth smoking cessation interventions.
Conclusions:
- The developed joint model offers an efficient and effective method for analyzing intensive longitudinal data in mHealth research.
- Understanding dynamic psychological states is crucial for predicting and intervening in smoking relapse.
- This approach advances the analysis of complex behavioral data in digital health studies.
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