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A Bayesian proportional hazards mixture cure model for interval-censored data

Author

Listed:
  • Chun Pan

    (Hunter College)

  • Bo Cai

    (University of South Carolina)

  • Xuemei Sui

    (University of South Carolina)

Abstract

The proportional hazards mixture cure model is a popular analysis method for survival data where a subgroup of patients are cured. When the data are interval-censored, the estimation of this model is challenging due to its complex data structure. In this article, we propose a computationally efficient semiparametric Bayesian approach, facilitated by spline approximation and Poisson data augmentation, for model estimation and inference with interval-censored data and a cure rate. The spline approximation and Poisson data augmentation greatly simplify the MCMC algorithm and enhance the convergence of the MCMC chains. The empirical properties of the proposed method are examined through extensive simulation studies and also compared with the R package “GORCure”. The use of the proposed method is illustrated through analyzing a data set from the Aerobics Center Longitudinal Study.

Suggested Citation

  • Chun Pan & Bo Cai & Xuemei Sui, 2024. "A Bayesian proportional hazards mixture cure model for interval-censored data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 30(2), pages 327-344, April.
    • Handle: RePEc:spr:lifeda:v:30:y:2024:i:2:d:10.1007_s10985-023-09613-8
    DOI: 10.1007/s10985-023-09613-8
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