IDEAS home Printed from https://ideas.repec.org/a/wly/riskan/v31y2011i12p1949-1960.html
   My bibliography  Save this article

Optimal Experimental Design Strategies for Detecting Hormesis

Author

Listed:
  • Holger Dette
  • Andrey Pepelyshev
  • Weng Kee Wong

Abstract

Hormesis is a widely observed phenomenon in many branches of life sciences, ranging from toxicology studies to agronomy, with obvious public health and risk assessment implications. We address optimal experimental design strategies for determining the presence of hormesis in a controlled environment using the recently proposed Hunt‐Bowman model. We propose alternative models that have an implicit hormetic threshold, discuss their advantages over current models, and construct and study properties of optimal designs for (i) estimating model parameters, (ii) estimating the threshold dose, and (iii) testing for the presence of hormesis. We also determine maximin optimal designs that maximize the minimum of the design efficiencies when we have multiple design criteria or there is model uncertainty where we have a few plausible models of interest. We apply these optimal design strategies to a teratology study and show that the proposed designs outperform the implemented design by a wide margin for many situations.

Suggested Citation

  • Holger Dette & Andrey Pepelyshev & Weng Kee Wong, 2011. "Optimal Experimental Design Strategies for Detecting Hormesis," Risk Analysis, John Wiley & Sons, vol. 31(12), pages 1949-1960, December.
    • Handle: RePEc:wly:riskan:v:31:y:2011:i:12:p:1949-1960
    DOI: 10.1111/j.1539-6924.2011.01625.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1539-6924.2011.01625.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1539-6924.2011.01625.x?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
    ---><---

    References listed on IDEAS

    as
    1. Pronzato, Luc, 2009. "Asymptotic properties of nonlinear estimates in stochastic models with finite design space," Statistics & Probability Letters, Elsevier, vol. 79(21), pages 2307-2313, November.
    2. Daniel L. Hunt & Dale Bowman, 2004. "A Parametric Model for Detecting Hormetic Effects in Developmental Toxicity Studies," Risk Analysis, John Wiley & Sons, vol. 24(1), pages 65-72, February.
    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. Steven Kim & Jeffrey Wand & Christina Magana‐Ramirez & Jenel Fraij, 2021. "Logistic Regression Models with Unspecified Low Dose–Response Relationships and Experimental Designs for Hormesis Studies," Risk Analysis, John Wiley & Sons, vol. 41(1), pages 92-109, January.
    2. Steven B Kim & Dong Sub Kim & Christina Magana-Ramirez, 2021. "Applications of statistical experimental designs to improve statistical inference in weed management," PLOS ONE, Public Library of Science, vol. 16(9), pages 1-21, September.
    3. Regina G Belz & Hans-Peter Piepho, 2012. "Modeling Effective Dosages in Hormetic Dose-Response Studies," PLOS ONE, Public Library of Science, vol. 7(3), pages 1-10, March.

    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. Víctor Casero-Alonso & Andrey Pepelyshev & Weng K. Wong, 2018. "A web-based tool for designing experimental studies to detect hormesis and estimate the threshold dose," Statistical Papers, Springer, vol. 59(4), pages 1307-1324, December.
    2. Dette, Holger & Scheder, Regine, 2008. "A finite sample comparison of nonparametric estimates of the effective dose in quantal bioassay," Technical Reports 2008,05, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    3. Steven Kim & Jeffrey Wand & Christina Magana‐Ramirez & Jenel Fraij, 2021. "Logistic Regression Models with Unspecified Low Dose–Response Relationships and Experimental Designs for Hormesis Studies," Risk Analysis, John Wiley & Sons, vol. 41(1), pages 92-109, January.
    4. Arnoud V. den Boer, 2014. "Dynamic Pricing with Multiple Products and Partially Specified Demand Distribution," Mathematics of Operations Research, INFORMS, vol. 39(3), pages 863-888, August.
    5. Arnoud V. den Boer & Bert Zwart, 2015. "Dynamic Pricing and Learning with Finite Inventories," Operations Research, INFORMS, vol. 63(4), pages 965-978, August.
    6. Fritjof Freise & Norbert Gaffke & Rainer Schwabe, 2021. "Convergence of least squares estimators in the adaptive Wynn algorithm for some classes of nonlinear regression models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(6), pages 851-874, August.

    More about this item

    Statistics

    Access and download statistics

    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:wly:riskan:v:31:y:2011:i:12:p:1949-1960. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1111/(ISSN)1539-6924 .

    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.