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The Continual Reassessment Method for Multiple Toxicity Grades: A Bayesian Model Selection Approach

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Listed:
  • Haitao Pan
  • Cailin Zhu
  • Feng Zhang
  • Ying Yuan
  • Shemin Zhang
  • Wenhong Zhang
  • Chanjuan Li
  • Ling Wang
  • Jielai Xia

Abstract

Grade information has been considered in Yuan et al. (2007) wherein they proposed a Quasi-CRM method to incorporate the grade toxicity information in phase I trials. A potential problem with the Quasi-CRM model is that the choice of skeleton may dramatically vary the performance of the CRM model, which results in similar consequences for the Quasi-CRM model. In this paper, we propose a new model by utilizing bayesian model selection approach – Robust Quasi-CRM model – to tackle the above-mentioned pitfall with the Quasi-CRM model. The Robust Quasi-CRM model literally inherits the BMA-CRM model proposed by Yin and Yuan (2009) to consider a parallel of skeletons for Quasi-CRM. The superior performance of Robust Quasi-CRM model was demonstrated by extensive simulation studies. We conclude that the proposed method can be freely used in real practice.

Suggested Citation

  • Haitao Pan & Cailin Zhu & Feng Zhang & Ying Yuan & Shemin Zhang & Wenhong Zhang & Chanjuan Li & Ling Wang & Jielai Xia, 2014. "The Continual Reassessment Method for Multiple Toxicity Grades: A Bayesian Model Selection Approach," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-8, May.
    • Handle: RePEc:plo:pone00:0098147
    DOI: 10.1371/journal.pone.0098147
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    References listed on IDEAS

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    1. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    2. Z. Yuan & R. Chappell & H. Bailey, 2007. "The Continual Reassessment Method for Multiple Toxicity Grades: A Bayesian Quasi-Likelihood Approach," Biometrics, The International Biometric Society, vol. 63(1), pages 173-179, March.
    3. Yin, Guosheng & Yuan, Ying, 2009. "Bayesian Model Averaging Continual Reassessment Method in Phase I Clinical Trials," Journal of the American Statistical Association, American Statistical Association, vol. 104(487), pages 954-968.
    4. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
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