IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v22y1974i2p393-399.html
   My bibliography  Save this article

A Procedure for Optimal Stepwise MSAE Regression Analysis

Author

Listed:
  • Gary M. Roodman

    (Dartmouth College, Hanover, New Hampshire)

Abstract

This paper brings together two topics from regression analysis. One is the topic of stepwise regression, a set of commonly used procedures for exploring alternative formulations of the regression model. The other topic is regression by minimizing the sum of the absolute errors about the regression line (MSAE). This technique has been found, in a variety of circumstances, to be more attractive than the traditional least-squares method. The paper presents a procedure for selecting from among m regressors the best sets of k , k + 1, … and m regressors according to the MSAE criterion ( k ≦ m ). Building upon the well known linear-programming formulation of the MSAE problem, the paper develops a partial enumerative search scheme, in which a set of distinct, but related, combinatorial optimization problems (corresponding to determination of “best k ,” “best k + 1,” etc.) are, in effect, solved simultaneously.

Suggested Citation

  • Gary M. Roodman, 1974. "A Procedure for Optimal Stepwise MSAE Regression Analysis," Operations Research, INFORMS, vol. 22(2), pages 393-399, April.
    • Handle: RePEc:inm:oropre:v:22:y:1974:i:2:p:393-399
    DOI: 10.1287/opre.22.2.393
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.22.2.393
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.22.2.393?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:inm:oropre:v:22:y:1974:i:2:p:393-399. 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 Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.