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Updated: May 13, 2025

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Author correction to: "causal survival analysis under competing risks using longitudinal modified treatment policies"
Iván Díaz1, Nicholas Williams2, Katherine L Hoffman3
1Division of Biostatistics, Department of Population Health, New York University Grossman School of Medicine, New York, USA. ivan.diaz@nyu.edu.
This study corrects errors in a previous manuscript on longitudinal modified treatment policies (LMTPs). The corrected methods extend LMTPs to time-to-event data with competing risks, improving causal inference in longitudinal studies.
Area of Science:
- Causal inference
- Longitudinal data analysis
- Survival analysis with competing risks
Background:
- The published manuscript contained errors in outcome and object definitions, impacting longitudinal modified treatment policy (LMTP) analysis.
- Longitudinal modified treatment policies (LMTPs) are a novel method for defining and estimating causal parameters related to treatment's natural value in longitudinal studies.
- LMTPs enable non-parametric definition and estimation of joint effects for multiple treatments over time.
Purpose of the Study:
- To correct errors in a previously published manuscript on LMTPs.
- To extend LMTP methodology to time-to-event outcomes with competing risks.
- To present identification results and robust, data-adaptive estimators for causal inference in complex longitudinal settings.
Main Methods:
- Correction of errors in the original manuscript's definitions.
- Extension of LMTP methodology to handle time-to-event data with competing events.
- Development of non-parametric, locally efficient, and data-adaptive estimators to minimize model misspecification bias.
Main Results:
- The corrected manuscript provides a robust framework for causal inference using LMTPs in the presence of competing risks.
- The proposed estimators are -consistent and utilize flexible regression techniques.
- Demonstrated application in estimating the effect of time-to-intubation on acute kidney injury in COVID-19 patients, accounting for death as a competing event.
Conclusions:
- The extended LMTP methodology provides a powerful tool for causal inference in longitudinal studies with time-to-event outcomes and competing risks.
- The data-adaptive estimators offer improved reliability by mitigating model misspecification.
- This work refines causal inference techniques for complex health outcomes, exemplified by the COVID-19 patient analysis.
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