IDEAS home Printed from https://ideas.repec.org/a/bpj/ijbist/v7y2011i1n39.html
   My bibliography  Save this article

Dose-Finding Designs: The Role of Convergence Properties

Author

Listed:
  • Oron Assaf P.
  • Azriel David
  • Hoff Peter D.

Abstract

It is common for novel dose-finding designs to be presented without a study of their convergence properties. In this article we suggest that examination of convergence is a necessary quality check for dose-finding designs. We present a new convergence proof for a nonparametric family of methods called “interval designs,” under certain conditions on the toxicity-frequency function F. We compare these conditions with the convergence conditions for the popular CRM one-parameter Phase I cancer design, via an innovative numerical sensitivity study generating a diverse sample of dose-toxicity scenarios. Only a small fraction of scenarios meet the Shen-O'Quigley convergence conditions for CRM. Conditions for “interval design” convergence are met more often, but still less than half the time. In the discussion, we illustrate how convergence properties and limitations help provide insight about small-sample behavior.

Suggested Citation

  • Oron Assaf P. & Azriel David & Hoff Peter D., 2011. "Dose-Finding Designs: The Role of Convergence Properties," The International Journal of Biostatistics, De Gruyter, vol. 7(1), pages 1-17, October.
    • Handle: RePEc:bpj:ijbist:v:7:y:2011:i:1:n:39
    DOI: 10.2202/1557-4679.1298
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1557-4679.1298
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.2202/1557-4679.1298?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zacks, S. & Rogatko, A. & Babb, J., 1998. "Optimal Bayesian-feasible dose escalation for cancer phase I trials," Statistics & Probability Letters, Elsevier, vol. 38(3), pages 215-220, June.
    2. Ying Kuen Cheung & Rick Chappell, 2002. "A Simple Technique to Evaluate Model Sensitivity in the Continual Reassessment Method," Biometrics, The International Biometric Society, vol. 58(3), pages 671-674, September.
    3. Linda M. Haines & Inna Perevozskaya & William F. Rosenberger, 2003. "Bayesian Optimal Designs for Phase I Clinical Trials," Biometrics, The International Biometric Society, vol. 59(3), pages 591-600, September.
    4. Unknown, 2002. "Letters to the Editor," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 17(4), pages 1-1.
    5. Paoletti, Xavier & O'Quigley, John & Maccario, Jean, 2004. "Design efficiency in dose finding studies," Computational Statistics & Data Analysis, Elsevier, vol. 45(2), pages 197-214, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nancy Flournoy & José Moler & Fernando Plo, 2020. "Performance Measures in Dose‐Finding Experiments," International Statistical Review, International Statistical Institute, vol. 88(3), pages 728-751, December.
    2. Azriel, David, 2014. "Optimal sequential designs in phase I studies," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 288-297.
    3. Azriel, David, 2012. "A note on the robustness of the continual reassessment method," Statistics & Probability Letters, Elsevier, vol. 82(5), pages 902-906.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Azriel, David, 2014. "Optimal sequential designs in phase I studies," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 288-297.
    2. Jay Bartroff & Tze Leung Lai, 2011. "Incorporating Individual and Collective Ethics into Phase I Cancer Trial Designs," Biometrics, The International Biometric Society, vol. 67(2), pages 596-603, June.
    3. Nureya Abarca & Nicolás Majluf, 2003. "Women In Management: A Study Of Chilean Executives," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 6(1), pages 55-81.
    4. Thomas M. Braun, 2018. "Motivating sample sizes in adaptive Phase I trials via Bayesian posterior credible intervals," Biometrics, The International Biometric Society, vol. 74(3), pages 1065-1071, September.
    5. Elijah D. Bolluyt & Cristina Comaniciu, 2019. "Dynamic Influence on Replicator Evolution for the Propagation of Competing Technologies," Papers 1911.03000, arXiv.org.
    6. Daniel R. Cavagnaro & Richard Gonzalez & Jay I. Myung & Mark A. Pitt, 2013. "Optimal Decision Stimuli for Risky Choice Experiments: An Adaptive Approach," Management Science, INFORMS, vol. 59(2), pages 358-375, February.
    7. Silvia Nenci, 2009. "Tariff liberatization and the growth of word trade: A comparative historiocal analysis to evaluate the multilateral trading system," Departmental Working Papers of Economics - University 'Roma Tre' 0110, Department of Economics - University Roma Tre.
    8. Lerbin R. Aritonang R., 2014. "Student Loyalty Modeling," Tržište/Market, Faculty of Economics and Business, University of Zagreb, vol. 26(1), pages 77-91.
    9. Meyer, Niels I. & Koefoed, Anne Louise, 2003. "Danish energy reform: policy implications for renewables," Energy Policy, Elsevier, vol. 31(7), pages 597-607, June.
    10. Alessandra Giovagnoli, 2021. "The Bayesian Design of Adaptive Clinical Trials," IJERPH, MDPI, vol. 18(2), pages 1-15, January.
    11. Anastasia Ivanova & Se Hee Kim, 2009. "Dose Finding for Continuous and Ordinal Outcomes with a Monotone Objective Function: A Unified Approach," Biometrics, The International Biometric Society, vol. 65(1), pages 307-315, March.
    12. Duncan, Ronald C., 2003. "Agricultural and resource economics and economic development in Aboriginal communities," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 47(3), pages 1-18, September.
    13. Neuhauser, Markus, 2003. "A note on the exact test based on the Baumgartner-Wei[ss]-Schindler statistic in the presence of ties," Computational Statistics & Data Analysis, Elsevier, vol. 42(4), pages 561-568, April.
    14. Sweeting, Michael & Mander, Adrian & Sabin, Tony, 2013. "bcrm: Bayesian Continual Reassessment Method Designs for Phase I Dose-Finding Trials," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 54(i13).
    15. Guosheng Yin & Ying Yuan, 2009. "A Latent Contingency Table Approach to Dose Finding for Combinations of Two Agents," Biometrics, The International Biometric Society, vol. 65(3), pages 866-875, September.
    16. M. Clertant & J. O’Quigley, 2017. "Semiparametric dose finding methods," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(5), pages 1487-1508, November.
    17. Palanca, Ellen, 2004. "China's WTO Entry: Effects on Its Economy and Implications for the Philippines," Discussion Papers DP 2004-41, Philippine Institute for Development Studies.
    18. Glover, Jane, 2011. "Where has all the cream gone: How sustainable is the English dairy supply chain?," 85th Annual Conference, April 18-20, 2011, Warwick University, Coventry, UK 108940, Agricultural Economics Society.
    19. Sean Reynolds, 2007. "‘Changing Marriage? Messing with Mr. In-Between?: Reflections upon Media Debates on Same-Sex Marriage in Ireland’," Sociological Research Online, , vol. 12(1), pages 152-168, January.
    20. Mourad Tighiouart & Yuan Liu & André Rogatko, 2014. "Escalation with Overdose Control Using Time to Toxicity for Cancer Phase I Clinical Trials," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-13, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:ijbist:v:7:y:2011:i:1:n:39. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.