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Updated: Oct 26, 2025

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Assessing Importance of Biomarkers: a Bayesian Joint Modeling Approach of Longitudinal and Survival Data with
Fan Zhang1, Ming-Hui Chen2, Xiuyu Julie Cong3
1Pfizer Inc., Groton, CT, USA.
This study introduces novel trajectory-based models for analyzing longitudinal patient-reported outcomes (PROs) and survival data in cancer trials. These models enhance understanding of how symptom changes impact survival, aiding clinical decision-making.
Area of Science:
- Biostatistics
- Clinical Trial Methodology
- Oncology
Background:
- Longitudinal biomarkers, including patient-reported outcomes (PROs) and quality of life (QOL), are crucial in cancer clinical trials.
- Integrating PRO/QOL data with survival analysis offers deeper insights into symptom-survival relationships.
- Existing models may not fully capture the complexities of disease progression and overall survival.
Purpose of the Study:
- To develop advanced trajectory-based models for joint analysis of longitudinal PRO/QOL and survival data in cancer.
- To specifically address disease progression and overall survival, accounting for factors like treatment switching.
- To assess the contribution of longitudinal data to the overall model fit using Bayesian methods.
Main Methods:
- Proposed a class of mixed-effects regression models for longitudinal measures.
- Incorporated a cure rate model for disease progression time and a Cox proportional hazards model for overall survival time.
- Utilized a semi-competing risks framework, with disease progression as a nonterminal event and death as a terminal event.
- Employed Bayesian inference to derive decompositions of DIC and LPML for model fit assessment.
Main Results:
- Developed methods to assess the fit of longitudinal and survival components separately.
- Introduced ΔDIC and ΔLPML metrics to quantify the impact of longitudinal data on survival model fit.
- Demonstrated the utility of the proposed models in a head and neck cancer clinical trial context.
Conclusions:
- The proposed joint modeling framework effectively integrates longitudinal PRO/QOL data with survival outcomes.
- The developed Bayesian metrics provide valuable tools for model evaluation and data contribution assessment.
- These models offer a robust approach for comparative assessment of patient-reported changes and their impact on survival in cancer research.
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