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A Study of the Probit Model with Latent Variables in Phase I Clinical Trials

Author

Listed:
  • Xiaobin Yang

    (The University of Texas at San Antonio)

  • Keying Ye

    (The University of Texas at San Antonio)

  • Yanping Wang

    (Eli Lilly and Company)

Abstract

Maximum tolerated dose (MTD) finding is an important problem in Phase I & II clinical trials. Based on the continual reassessment method (CRM) that is used to find MTD, a new dose-escalation strategy is presented. The suggested strategy relies on a probit model. By introducing latent variables, Markov chain Monte Carlo (MCMC) methods are employed to estimate the model parameters. Compared with the widely used CRM in simulation studies, the new dose-escalation strategy is superior to or at least as good as the original dose-escalation strategy used in CRM for most of the considered scenarios.

Suggested Citation

  • Xiaobin Yang & Keying Ye & Yanping Wang, 2011. "A Study of the Probit Model with Latent Variables in Phase I Clinical Trials," Working Papers 0030, College of Business, University of Texas at San Antonio.
    • Handle: RePEc:tsa:wpaper:0070mss
    as

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    File URL: http://interim.business.utsa.edu/wps/mgt/0030MSS-432-2010.pdf
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    References listed on IDEAS

    as
    1. Zellner, Arnold & Rossi, Peter E., 1984. "Bayesian analysis of dichotomous quantal response models," Journal of Econometrics, Elsevier, vol. 25(3), pages 365-393, July.
    2. Reiner, Ethan & Paoletti, Xavier & O'Quigley, John, 1999. "Operating characteristics of the standard phase I clinical trial design," Computational Statistics & Data Analysis, Elsevier, vol. 30(3), pages 303-315, May.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Xiaobin Yang & Keying Ye, 2012. "A Phase I Dose-_finding Study Based on Polychotomous Toxicity Responses Toxicity issue is always a main concern in phase I study and it is commonly categorized to multiple grades. In this study, the c," Working Papers 0004, College of Business, University of Texas at San Antonio.

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    More about this item

    Keywords

    phase I clinical trial; dose finding; continual reassessment method (CRM); probit model; latent variable; Markov chain Monte Carlo (MCMC);
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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