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Updated: May 31, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Approximate nonparametric corrected-score method for joint modeling of survival and longitudinal data measured with
Jean D Tapsoba, Jean de Dieu Tapsoba1, Shen-Ming Lee
1Department of Statistics, Feng Chia University, Taichung, Taiwan 40724, ROC. tapsoba1@yahoo.fr
This study introduces a new statistical method for analyzing survival time and longitudinal data with measurement errors. The nonparametric corrected-score estimator accurately models the association between time-to-event and covariates, even without distribution assumptions.
Area of Science:
- Biostatistics
- Longitudinal Data Analysis
- Survival Analysis
Background:
- Joint modeling of survival time and longitudinal data is complex, especially with measurement error in covariates.
- Existing methods often require strong distributional assumptions for random effects and measurement error.
- Accurate estimation of the association between time-to-event and longitudinal covariates is crucial in clinical research.
Purpose of the Study:
- To propose an approximate nonparametric corrected-score estimator for jointly modeling survival and longitudinal data with measurement error.
- To develop a method that does not require assumptions about the distribution of random effects or measurement error.
- To assess the performance and asymptotic properties of the proposed estimator.
Main Methods:
- Utilized a proportional hazards model for survival times.
- Employed a random effects model for the longitudinal covariate process.
- Developed an approximate nonparametric corrected-score estimation technique.
Main Results:
- The proposed nonparametric corrected-score estimator demonstrated good performance in simulation studies.
- Asymptotic properties of the estimator were theoretically established.
- The estimator was successfully applied to real-world data from an AIDS clinical trial.
Conclusions:
- The approximate nonparametric corrected-score estimator provides a flexible and robust approach for joint modeling of survival and longitudinal data with measurement error.
- This method offers an advantage by avoiding restrictive distributional assumptions.
- The findings have implications for the analysis of clinical trial data, particularly in the presence of complex covariate processes.
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