Skip to main content

Constrained Bayesian Optimal Designs for Phase I Clinical Trials: Continuous Dose Space

  • Conference paper
mODa 6 — Advances in Model-Oriented Design and Analysis

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract:

We derive constrained Bayesian D-optimal designs for efficient estimation in phase I clinical trials with binary responses on a continuous dose space. The constraint is based on ethical considerations that patients cannot be assigned to highly toxic doses. We find that a naive restriction on the dose space, requiring patients to be assigned below the mean of a quantile, is about as effective as the more computationally intensive constrained designs.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Babb, J., Rogatko, A., and Zacks, S. (1998). Cancer phase I clinical tials: Efficient dose escalation with overdose controls.Statistics in Medicine,17 1103–1120.

    Article  Google Scholar 

  • Chaloner, K. and Larntz, K. (1989). Optimal Bayesian Design Applied to Logistic Regression Experiments. Journal of Statistical Planning and Inference,21 191–208.

    Article  MathSciNet  MATH  Google Scholar 

  • Clyde, M. and Chaloner, K. (1996). The equivalence of constrained and weighted designs in multiple objective problems. Journal of the American Statistical Association,91 1236–1244.

    Article  MathSciNet  MATH  Google Scholar 

  • Durham, S.D. Flournoy, N. (1994). Random walks for quantile estimation. In: Gupta, S.S. and Berger, J.O. (eds.), Statistical Decision Theory and Related Topics V. Springer, New York, 467–476.

    Chapter  Google Scholar 

  • Fedorov, V.V. (1992). Optimal Design Construction With Constraints II. School of Statistics, University of Minnesota (technical report 575).

    Google Scholar 

  • Haines, L.M. (1998). Optimal design for neural networks. In: Flournoy, N., Rosenberger, W.F., and Wong, W.K. (eds.), New Developments and Applications in Experimental Design, Institute of Mathematical Statistics, Hayward, 152–162.

    Chapter  Google Scholar 

  • Mats, V.A., Rosenberger, W.F., and Flournoy, N. (1998). Restricted optimality for phase I clinical trials. In: Flournoy, N., Rosenberger, W.F., and Wong, W.K. (eds.), New Developments and Applications in Experimental Design, Institute of Mathematical Statistics, Hayward, 50–61.

    Chapter  Google Scholar 

  • O’Quigley, J., Pepe, M., and Fisher, L. (1990). Continual reassessment method: A practical design for phase I clinical trials in cancer. Biometrics, 46 33–48.

    Article  MathSciNet  MATH  Google Scholar 

  • Perevozskaya, I. (1999). Optimal Design for Quantile Estimation With Application to Phase I Clinical Trials. University of Maryland Graduate School, Baltimore (doctoral thesis).

    Google Scholar 

  • Schacter, L., Birkhofer, M., Carter, S., Canetta, R., Hellmann, S., Onetto, N., Weil, C., Winograd, B., and Rozencweig, M. (1997). Anticancer drugs. In: O’Grady, J. and Joubert, P.H. (eds.), Handbookof Phase I/II Clinical Trials. CRC Press, Boca Raton, 523–534.

    Google Scholar 

  • Simon, R., Freidlin, B., Rubinstein, L., Arbuck, S. G., Collins, J. and Christian, M.C. (1997). Accelerated titration designs for phase I clinical trials in oncology.Journal of the National Cancer Institute 89 1138–1147.

    Article  Google Scholar 

  • Sitter, R.R. and Wu, C.F.J. (1999). Two-stage design of quantal response studiesBiometrics 55 396–402.

    Article  MATH  Google Scholar 

  • Whittle, P. (1973). Some general points in the theory of optimal experimental design. Journal of the Royal Statistical Society,B35 123–130.

    MathSciNet  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rosenberger, W.F., Haines, L.M., Perevozskaya, I. (2001). Constrained Bayesian Optimal Designs for Phase I Clinical Trials: Continuous Dose Space. In: Atkinson, A.C., Hackl, P., Müller, W.G. (eds) mODa 6 — Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57576-1_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57576-1_25

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1400-2

  • Online ISBN: 978-3-642-57576-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics