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Licensed Unlicensed Requires Authentication Published by De Gruyter March 25, 2022

Regression trees and ensembles for cumulative incidence functions

  • Youngjoo Cho , Annette M. Molinaro , Chen Hu and Robert L. Strawderman EMAIL logo

Abstract

The use of cumulative incidence functions for characterizing the risk of one type of event in the presence of others has become increasingly popular over the past two decades. The problems of modeling, estimation and inference have been treated using parametric, nonparametric and semi-parametric methods. Efforts to develop suitable extensions of machine learning methods, such as regression trees and ensemble methods, have begun comparatively recently. In this paper, we propose a novel approach to estimating cumulative incidence curves in a competing risks setting using regression trees and associated ensemble estimators. The proposed methods use augmented estimators of the Brier score risk as the primary basis for building and pruning trees, and lead to methods that are easily implemented using existing R packages. Data from the Radiation Therapy Oncology Group (trial 9410) is used to illustrate these new methods.


Corresponding author: Robert L. Strawderman, Department of Biostatistics & Computational Biology, University of Rochester, Rochester, NY, United States, E-mail:

Award Identifier / Grant number: R01CA163687

Acknowledgment

We thank the NRG Oncology Statistics and Data Management Center for providing de-identified RTOG 9410 clinical trial data under a data use agreement.

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was partially supported by the National Institutes of Health (R01CA163687: AMM, RLS, YC; U10-CA180822: CH).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/ijb-2021-0014).


Received: 2021-02-15
Accepted: 2022-03-02
Published Online: 2022-03-25

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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