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Updated: May 10, 2026

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Risk-stratified imputation in survival analysis.
Richard E Kennedy1, Kofi P Adragni, Hemant K Tiwari
1Department of Biostatistics, School of Public Health, University of Alabama at Birmingham, Birmingham, AL 35294-0022, USA.
Risk-stratified imputation improves survival analysis by addressing withdrawal bias in clinical trials. This method provides accurate treatment effect estimates and variance, outperforming traditional imputation techniques.
Area of Science:
- Biostatistics
- Clinical Trials
- Survival Analysis
Background:
- Covariate-dependent censoring in randomized trials can bias treatment effect estimates due to altered recruitment and eligibility criteria aimed at minimizing withdrawals.
- Existing imputation methods for survival analysis may offer unbiased treatment effect estimates but can inaccurately estimate variance based on the selected imputation pool.
Purpose of the Study:
- To introduce risk-stratified imputation, an enhanced method for addressing withdrawal bias related to event risk in time-to-event analyses.
- To provide a robust alternative for handling withdrawals in clinical trials where event risk influences patient dropout.
Main Methods:
- The proposed algorithm imputes outcomes from a risk-stratified sample, matching subjects based on treatment and relevant covariates.
- Stratification prior to imputation ensures censored observations are representative within their risk group, aligning with time-to-event analysis requirements.
- Comparison with case deletion and bootstrap imputation was conducted using simulated data and a clinical trial example.
Main Results:
- Risk-stratified imputation yielded treatment effect estimates comparable to bootstrap and auxiliary variable imputation in simulations.
- Crucially, it avoided the variance estimation inaccuracies associated with bootstrap and auxiliary variable imputation.
- Similar performance was observed when analyzing clinical trial data, confirming its practical utility.
Conclusions:
- Risk-stratified imputation is particularly beneficial for clinical trials with treatment-related withdrawal rate differences between groups.
- While effective for categorical covariates, its application with continuous covariates may require careful consideration of the matching window width.
- This method offers a valuable tool for improving the analysis of clinical trials facing withdrawal challenges.
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