IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v26y1999i2p235-242.html
   My bibliography  Save this article

Simultaneous estimation of location and dispersion in two-level fractional factorial designs

Author

Listed:
  • Sture Holm
  • Kerstin Wiklander

Abstract

The reduction of variation is one of the obvious goals in quality improvement. The identification of factors aff ecting the dispersion is a step towards this goal. In this paper, the problem of estimating location effects and dispersion eff ects simultaneously in unreplicated factorial experiments is considered. By making a one-to-one transformation of the response variables, the study of the quadratic functions becomes clearer. The transformation also gives a natural motivation to the model of the variances of the original variables. The covariances of the transformed responses appear as parameters in the variances of the original variables. Results of Hadamard products are used for deriving these covariances. The method of estimating dispersion effects is shown in two illustrations. In a 24 factorial design, the essential covariance matrix of the transformed variables is also presented. The method is also illustrated in a 25-1 fractional design with a model which is saturated in this context.

Suggested Citation

  • Sture Holm & Kerstin Wiklander, 1999. "Simultaneous estimation of location and dispersion in two-level fractional factorial designs," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(2), pages 235-242.
    • Handle: RePEc:taf:japsta:v:26:y:1999:i:2:p:235-242
    DOI: 10.1080/02664769922575
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664769922575
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664769922575?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.

    References listed on IDEAS

    as
    1. Wang, P. C., 1989. "Test for dispersion effects from orthogonal arrays," Computational Statistics & Data Analysis, Elsevier, vol. 8(1), pages 109-117, May.
    Full references (including those not matched with items on IDEAS)

    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. Loughin, Thomas M. & Rodríguez, Jorge E., 2011. "Computational issues with fitting joint location/dispersion models in unreplicated 2k factorials," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 491-497, January.

    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:japsta:v:26:y:1999:i:2:p:235-242. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    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.