IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v76y2006i14p1570-1577.html
   My bibliography  Save this article

Allocating factors to the columns of an orthogonal array when certain interactions are important

Author

Listed:
  • Das, Ashish
  • Dey, Aloke
  • Midha, Chand K.

Abstract

Fractional factorial plans represented by orthogonal arrays of strength two are known to be universally optimal under a model that includes the mean and all main effects, when all other factorial effects are assumed to be absent. However, if the number of factors in the experiment is smaller than the number of columns of a saturated or, tight orthogonal array and the experimenter is interested in estimating certain 2-factor interactions as well, one can possibly entertain these 2-factor interactions in the model apart from the mean and all main effects. The problem then is to allocate factors to the columns of the orthogonal array, so that the user-specified 2-factor interactions, in addition to the mean and the main effects, are optimally estimable. This problem is investigated in this paper with reference to the orthogonal array OA(2n,2n-1,2,2), which exists for every integer n[greater-or-equal, slanted]2. A method for the allocation of factors to factor representations is proposed that ensures the optimal estimation of the mean, all main effects and specified 2-factor interactions. The method is illustrated by considering in detail the cases n=3,4.

Suggested Citation

  • Das, Ashish & Dey, Aloke & Midha, Chand K., 2006. "Allocating factors to the columns of an orthogonal array when certain interactions are important," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1570-1577, August.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:14:p:1570-1577
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(06)00100-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    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:eee:stapro:v:76:y:2006:i:14:p:1570-1577. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.