IDEAS home Printed from https://ideas.repec.org/a/taf/amstat/v67y2013i1p33-41.html
   My bibliography  Save this article

On the Nature of the Stationary Point of a Quadratic Response Surface: A Bayesian Simulation-Based Approach

Author

Listed:
  • Valeria Sambucini

Abstract

In response-surface methodology, when the data are fitted using a quadratic model, it is important to make inference about the eigenvalues of the matrix of pure and mixed second-order coefficients, since they contain information on the nature of the stationary point and the shape of the surface. In this article, we propose a Bayesian simulation-based approach to explore the behavior of the posterior distributions of these eigenvalues. Highest posterior density (HPD) intervals for the ordered eigenvalues are then computed and their empirical coverage probabilities are evaluated. A user-friendly software tool has been developed to get the kernel density plots of these simulated posterior distributions and to obtain the corresponding HPD intervals. It is provided online as supplementary materials to this article.

Suggested Citation

  • Valeria Sambucini, 2013. "On the Nature of the Stationary Point of a Quadratic Response Surface: A Bayesian Simulation-Based Approach," The American Statistician, Taylor & Francis Journals, vol. 67(1), pages 33-41, February.
    • Handle: RePEc:taf:amstat:v:67:y:2013:i:1:p:33-41
    DOI: 10.1080/00031305.2012.755366
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00031305.2012.755366
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00031305.2012.755366?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.

    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:taf:amstat:v:67:y:2013:i:1:p:33-41. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/UTAS20 .

    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.