IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v38y1989i1p115-126.html
   My bibliography  Save this article

The Use of Guided Reformulations When Collinearities are Present in Nonlinear Regression

Author

Listed:
  • Jeffrey S. Simonoff
  • Chih‐Ling Tsai

Abstract

Multicollinearity is as serious a problem in nonlinear regression as it is in linear regression, with the vectors of partial derivatives taking the place of the columns of the design matrix. The solution to this problem is to reformulate the model, but this is often difficult. In this paper a guided reformulation procedure is developed based on the representation of collinearity in the model. Several examples are treated, and it is shown that the reformulation model generally has reduced collinearity and curvature with little loss of fit. A discussion of the relationship of collinearity to curvature for a certain class of nonlinear models is provided. Potential difficulties with the procedure are also discussed.

Suggested Citation

  • Jeffrey S. Simonoff & Chih‐Ling Tsai, 1989. "The Use of Guided Reformulations When Collinearities are Present in Nonlinear Regression," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 38(1), pages 115-126, March.
    • Handle: RePEc:bla:jorssc:v:38:y:1989:i:1:p:115-126
    DOI: 10.2307/2347686
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2347686
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2347686?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
    ---><---

    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:bla:jorssc:v:38:y:1989:i:1:p:115-126. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    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.