Abstract
The penalized local D-optimal design is introduced by Dragalin and Fedorov (J. Stat. Plan. Inference 136:1800–1823, 2006). We extend the method to the Bayesian realm for the bivariate Gumbel model. Then we conduct a simulation study to compare our method with the trade-off methods of Thall and Cook (Biometrics 60:684–693, 2004). Various measures are employed to present a thorough understanding of both the methods. Our method is more favorable in terms of consistency across simulations and information gain.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Atkinson, A.C., Donev, A.N., Tobias, R.: Optimum Experimental Design, with SAS. Oxford University Press, Oxford (2007)
Chaloner, K., Larntz, K.: Optimal Bayesian design applied to logistic regression experiments. J. Stat. Plan. Inference 21, 191–208 (1989)
Dragalin, V., Fedorov, V.: Adaptive designs for dose-finding based on efficacy-toxicity response. J. Stat. Plan. Inference 136, 1800–1823 (2006)
Haines, L.M., Perevozskaya, I., Rosenberger, W.F.: Bayesian optimal designs for phase I clinical trials. Biometrics 50, 591–600 (2003)
Mats, V.A., Rosenberger, W.F., Flournoy, N.: Restricted optimality for phase I clinical trials. In: Flournoy, N., Rosenberger, W.F., Wong, W.K. (eds.) New Developments and Applications in Experimental Design, pp. 50–61. Institute of Mathematical Statistics, Hayward (1998)
Perevozskaya, I., Rosenberger, W.F., Haines, L.M.: Optimal design for the proportional odds model. Can. J. Stat. 31, 225–235 (2003)
Roy, A., Ghosal, S., Rosenberger, W.F.: Convergence properties of sequential Bayesian D-optimal designs. J. Stat. Plan. Inference 139, 425–440 (2003)
Thall, P.F., Cook, J.D.: Dose-finding based on efficacy-toxicity trade-offs. Biometrics 60, 684–693 (2004)
Acknowledgements
The authors thank the referees for constructive comments. Dr. Rosenberger’s research is supported by a grant from the National Cancer Institute under the American Recovery and Reinvestment Act of 2009.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Gao, L., Rosenberger, W.F. (2013). Adaptive Bayesian Design with Penalty Based on Toxicity-Efficacy Response. In: Ucinski, D., Atkinson, A., Patan, M. (eds) mODa 10 – Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00218-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-00218-7_11
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00217-0
Online ISBN: 978-3-319-00218-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)