Volume 33, Issue 1
Research Article

Improved survival modeling in cancer research using a reduced piecewise exponential approach

Gang Han

Corresponding Author

Department of Biostatistics, Yale University School of Public Health, 60 College Street, New Haven, CT 06520, U.S.A.

Correspondence to: Gang Han, Department of Biostatistics, Yale University School of Public Health, 60 College Street, New Haven, CT 06520, U.S.A.

E‐mail: Gang.Han@yale.edu

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Michael J. Schell

Department of Biostatistics, H. Lee Moffitt Cancer Center & Research Institute, 12902 Magnolia Drive, Tampa, FL, 33612 U.S.A.

Oncologic Sciences, University of South Florida, 4202 E. Fowler Ave, Tampa, FL, 33620 U.S.A.

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Jongphil Kim

Department of Biostatistics, H. Lee Moffitt Cancer Center & Research Institute, 12902 Magnolia Drive, Tampa, FL, 33612 U.S.A.

Oncologic Sciences, University of South Florida, 4202 E. Fowler Ave, Tampa, FL, 33620 U.S.A.

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First published: 30 July 2013
Citations: 11

Abstract

Statistical models for survival data are typically nonparametric, for example, the Kaplan–Meier curve. Parametric survival modeling, such as exponential modeling, however, can reveal additional insights and be more efficient than nonparametric alternatives. A major constraint of the existing exponential models is the lack of flexibility due to distribution assumptions. A flexible and parsimonious piecewise exponential model is presented to best use the exponential models for arbitrary survival data. This model identifies shifts in the failure rate over time based on an exact likelihood ratio test, a backward elimination procedure, and an optional presumed order restriction on the hazard rate. Such modeling provides a descriptive tool in understanding the patient survival in addition to the Kaplan–Meier curve. This approach is compared with alternative survival models in simulation examples and illustrated in clinical studies. Copyright © 2013 John Wiley & Sons, Ltd.

Number of times cited according to CrossRef: 11

  • A flexible parametric survival model for fitting time to event data in clinical trials, Pharmaceutical Statistics, 10.1002/pst.1947, 18, 5, (555-567), (2019).
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