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Updated: Jun 25, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Robust joint modeling of longitudinal measurements and competing risks failure time data
Ning Li1, Robert M Elashoff, Gang Li
1Department of Biomathematics, University of California at Los Angeles, 90095-1766, USA. ningli@ucla.edu
This study introduces a robust joint model for longitudinal and competing risks survival data, effectively handling outliers in measurements. The new t-distribution-based approach improves analysis accuracy for complex health studies.
Area of Science:
- Biostatistics
- Longitudinal Data Analysis
- Survival Analysis
Background:
- Joint models for longitudinal and survival data are susceptible to outliers.
- Existing methods may yield biased results when longitudinal measurements contain extreme values.
Purpose of the Study:
- To develop a robust joint model for longitudinal measurements and competing risks failure time data.
- To enhance analytical reliability in the presence of outlying longitudinal observations.
Main Methods:
- Proposed a joint model with a linear mixed-effects sub-model (using t-distribution for robustness) and a proportional cause-specific hazards frailty sub-model.
- Employed an Expectation-Maximization (EM) algorithm for parameter estimation.
- Utilized a profile likelihood method for standard error estimation.
Main Results:
- The proposed t-distribution-based model demonstrates robustness against outliers in longitudinal data.
- Simulation studies confirmed the improved performance compared to standard methods.
- The model was successfully applied to a scleroderma lung study.
Conclusions:
- The novel joint modeling approach provides a more reliable analysis of longitudinal and competing risks data with potential outliers.
- This method offers a valuable tool for researchers dealing with complex biomedical data, such as in the scleroderma lung study.
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