Volume 35, Issue 16
Research Article

Nonparametric survival analysis using Bayesian Additive Regression Trees (BART)

Rodney A. Sparapani

Division of Biostatistics, Medical College of Wisconsin, Milwaukee, U.S.A.

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Brent R. Logan

Division of Biostatistics, Medical College of Wisconsin, Milwaukee, U.S.A.

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Robert E. McCulloch

Booth School of Business, University of Chicago, Chicago, U.S.A.

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Purushottam W. Laud

Corresponding Author

Division of Biostatistics, Medical College of Wisconsin, Milwaukee, U.S.A.

Correspondence to: Purushottam W. Laud, Medical College of Wisconsin, Division of Biostatistics, 8701 Watertown Plank Rd., Milwaukee, WI 53226, U.S.A.

E‐mail: laud@mcw.edu

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First published: 07 February 2016
Citations: 28

Abstract

Bayesian additive regression trees (BART) provide a framework for flexible nonparametric modeling of relationships of covariates to outcomes. Recently, BART models have been shown to provide excellent predictive performance, for both continuous and binary outcomes, and exceeding that of its competitors. Software is also readily available for such outcomes. In this article, we introduce modeling that extends the usefulness of BART in medical applications by addressing needs arising in survival analysis. Simulation studies of one‐sample and two‐sample scenarios, in comparison with long‐standing traditional methods, establish face validity of the new approach. We then demonstrate the model's ability to accommodate data from complex regression models with a simulation study of a nonproportional hazards scenario with crossing survival functions and survival function estimation in a scenario where hazards are multiplicatively modified by a highly nonlinear function of the covariates. Using data from a recently published study of patients undergoing hematopoietic stem cell transplantation, we illustrate the use and some advantages of the proposed method in medical investigations. Copyright © 2016 John Wiley & Sons, Ltd.

Number of times cited according to CrossRef: 28

  • Flexible Modelling of Longitudinal Medical Data, ACM Transactions on Computing for Healthcare, 10.1145/3377164, 1, 1, (1-15), (2020).
  • The Rhetoric and Reality of Anthropomorphism in Artificial Intelligence, The 2019 Yearbook of the Digital Ethics Lab, 10.1007/978-3-030-29145-7_4, (45-65), (2020).
  • Bayesian Additive Regression Trees: A Review and Look Forward, Annual Review of Statistics and Its Application, 10.1146/annurev-statistics-031219-041110, 7, 1, (251-278), (2020).
  • A Bayesian nonparametric approach for evaluating the causal effect of treatment in randomized trials with semi-competing risks, Biostatistics, 10.1093/biostatistics/kxaa008, (2020).
  • Regression of survival data via twin support vector regression, Communications in Statistics - Simulation and Computation, 10.1080/03610918.2020.1757710, (1-13), (2020).
  • A semiparametric Bayesian approach to population finding with time‐to‐event and toxicity data in a randomized clinical trial, Biometrics, 10.1111/biom.13289, 0, 0, (2020).
  • A dependent Dirichlet process model for survival data with competing risks, Lifetime Data Analysis, 10.1007/s10985-020-09506-0, (2020).
  • Semiparametric mixed‐scale models using shared Bayesian forests, Biometrics, 10.1111/biom.13107, 76, 1, (131-144), (2019).
  • Clinical risk prediction with random forests for survival, longitudinal, and multivariate (RF-SLAM) data analysis, BMC Medical Research Methodology, 10.1186/s12874-019-0863-0, 20, 1, (2019).
  • Detection of Left Ventricular Hypertrophy Using Bayesian Additive Regression Trees: The MESA, Journal of the American Heart Association, 10.1161/JAHA.118.009959, 8, 5, (2019).
  • Bayesian additive regression trees and the General BART model, Statistics in Medicine, 10.1002/sim.8347, 38, 25, (5048-5069), (2019).
  • Decision tree for modeling survival data with competing risks, Biocybernetics and Biomedical Engineering, 10.1016/j.bbe.2019.05.001, 39, 3, (697-708), (2019).
  • The Role of Genetic Factors in Characterizing Extra-Intestinal Manifestations in Crohn’s Disease Patients: Are Bayesian Machine Learning Methods Improving Outcome Predictions?, Journal of Clinical Medicine, 10.3390/jcm8060865, 8, 6, (865), (2019).
  • Nonparametric competing risks analysis using Bayesian Additive Regression Trees, Statistical Methods in Medical Research, 10.1177/0962280218822140, (096228021882214), (2019).
  • The Rhetoric and Reality of Anthropomorphism in Artificial Intelligence, Minds and Machines, 10.1007/s11023-019-09506-6, (2019).
  • Bayesian non‐parametric survival regression for optimizing precision dosing of intravenous busulfan in allogeneic stem cell transplantation, Journal of the Royal Statistical Society: Series C (Applied Statistics), 10.1111/rssc.12331, 68, 3, (809-828), (2018).
  • A nonparametric Bayesian basket trial design, Biometrical Journal, 10.1002/bimj.201700162, 61, 5, (1160-1174), (2018).
  • Bayesian regression tree ensembles that adapt to smoothness and sparsity, Journal of the Royal Statistical Society: Series B (Statistical Methodology), 10.1111/rssb.12293, 80, 5, (1087-1110), (2018).
  • The study of effect moderation in youth suicide-prevention studies, Social Psychiatry and Psychiatric Epidemiology, 10.1007/s00127-018-1574-2, 53, 12, (1303-1310), (2018).
  • Non-parametric recurrent events analysis with BART and an application to the hospital admissions of patients with diabetes, Biostatistics, 10.1093/biostatistics/kxy032, (2018).
  • Individualized treatment effects with censored data via fully nonparametric Bayesian accelerated failure time models, Biostatistics, 10.1093/biostatistics/kxy028, (2018).
  • A Bayesian Machine Learning Approach for Optimizing Dynamic Treatment Regimes, Journal of the American Statistical Association, 10.1080/01621459.2017.1340887, 113, 523, (1255-1267), (2017).
  • A review of tree-based Bayesian methods, Communications for Statistical Applications and Methods, 10.29220/CSAM.2017.24.6.543, 24, 6, (543-559), (2017).
  • Decision making and uncertainty quantification for individualized treatments using Bayesian Additive Regression Trees, Statistical Methods in Medical Research, 10.1177/0962280217746191, (096228021774619), (2017).
  • Internet of Things based activity surveillance of defence personnel, Journal of Ambient Intelligence and Humanized Computing, 10.1007/s12652-017-0507-3, (2017).
  • Bayesian Additive Regression Trees (BART), Wiley StatsRef: Statistics Reference Online, 10.1002/9781118445112, (1-9), (2014).
  • Competing risks analysis for discrete time‐to‐event data, WIREs Computational Statistics , 10.1002/wics.1529, 0, 0, (undefined).
  • A practical introduction to Bayesian estimation of causal effects: Parametric and nonparametric approaches, Statistics in Medicine, 10.1002/sim.8761, 0, 0, (undefined).

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