Using Quadratic Programming to Reconstruct Data From Published Survival and Competing Risks Analyses

Fuente: Wiley Open Access
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Main Author: Andrew C. Titman
Format: Artículo Open Access
Published: Wiley 2026
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author Andrew C. Titman
author_facet Andrew C. Titman
Andrew C. Titman
collection Wiley Open Access
contents Using Quadratic Programming to Reconstruct Data From Published Survival and Competing Risks Analyses Andrew C. Titman Statistics in Medicine ABSTRACT The ability to retrieve pseudo‐individual patient data (IPD) from published survival study results is important to facilitate meta‐analysis, evidence synthesis or secondary data analyses for the purpose of decision modeling for cost effectiveness analysis. While established methods exist for retrieving pseudo‐IPD from Kaplan–Meier plots, these algorithms are not easily extendable to other types of survival data, nor do they allow all available information to be incorporated. An optimization‐based approach is proposed where the task of reconstructing the IPD is formulated as a quadratic program (QP) with linear constraints. The method easily allows auxiliary information such as marked censoring times. Moreover, the same approach can be used to reconstruct patient‐level competing risks survival data from published cumulative incidence functions. In simulation, the QP‐based method is shown to outperform existing algorithms particularly when data on numbers at risk and marked censoring times are available. The methods are illustrated through reconstruction of data from a published study on patients with advanced stage follicular lymphoma. 10.1002/sim.70474 http://creativecommons.org/licenses/by/4.0/
doi_str_mv 10.1002/sim.70474
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license_str_mv http://creativecommons.org/licenses/by/4.0/
publishDate 2026
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spellingShingle Using Quadratic Programming to Reconstruct Data From Published Survival and Competing Risks Analyses
Andrew C. Titman
Statistics in Medicine
Using Quadratic Programming to Reconstruct Data From Published Survival and Competing Risks Analyses Andrew C. Titman Statistics in Medicine ABSTRACT The ability to retrieve pseudo‐individual patient data (IPD) from published survival study results is important to facilitate meta‐analysis, evidence synthesis or secondary data analyses for the purpose of decision modeling for cost effectiveness analysis. While established methods exist for retrieving pseudo‐IPD from Kaplan–Meier plots, these algorithms are not easily extendable to other types of survival data, nor do they allow all available information to be incorporated. An optimization‐based approach is proposed where the task of reconstructing the IPD is formulated as a quadratic program (QP) with linear constraints. The method easily allows auxiliary information such as marked censoring times. Moreover, the same approach can be used to reconstruct patient‐level competing risks survival data from published cumulative incidence functions. In simulation, the QP‐based method is shown to outperform existing algorithms particularly when data on numbers at risk and marked censoring times are available. The methods are illustrated through reconstruction of data from a published study on patients with advanced stage follicular lymphoma. 10.1002/sim.70474 http://creativecommons.org/licenses/by/4.0/
title Using Quadratic Programming to Reconstruct Data From Published Survival and Competing Risks Analyses
topic Statistics in Medicine
url https://onlinelibrary.wiley.com/doi/10.1002/sim.70474