IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v43y1999i1p87-92.html
   My bibliography  Save this article

Hidden projection properties of some optimal designs

Author

Listed:
  • Aggarwal, M. L.
  • Kaul, Renu

Abstract

Traditionally Plackett and Burman [1946, The design of optimum multifactorial experiments. Biometrika 33, 305-325] designs have been used for screening main effects only because of their complex aliasing patterns. Recently, Wang and Wu [1995, A hidden projection property of Plackett-Burman designs. Statist. Sinica 5, 235-250] studied that these designs have certain hidden projection properties, which allow certain interactions to be entertained and estimated without making additional runs. They attributed the success of Hamada and Wu's [1992, Analysis of designed experiments with complex aliasing. J. Quality Technol. 24, 130-137] strategy for estimating two-factor interactions from Plackett-Burman-type experiments to the hidden projection property. In this paper, we have studied the hidden projection properties of a number of designs in the class of n=1 (mod 4),n=2 (mod 4), and n=3 (mod 4) designs. We have also drawn non-isomorphic interaction graphs making D and Ds efficiency as the underlying criterion.

Suggested Citation

  • Aggarwal, M. L. & Kaul, Renu, 1999. "Hidden projection properties of some optimal designs," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 87-92, May.
    • Handle: RePEc:eee:stapro:v:43:y:1999:i:1:p:87-92
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(98)00249-1
    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.

    References listed on IDEAS

    as
    1. Dennis Lin & Norman Draper, 1995. "Screening properties of certain two-level designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 42(1), pages 99-118, December.
    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. Evangelaras, H. & Koukouvinos, C., 2004. "On generalized projectivity of two-level screening designs," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 429-434, July.
    2. Georgiou, Stelios D., 2007. "New two-variable full orthogonal designs and related experiments with linear regression models," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 25-31, January.
    3. H. Evangelaras & S. D. Georgiou, 2021. "Projection properties of two-level supersaturated designs constructed from Hadamard designs using Lin’s method," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1095-1108, November.
    4. Evangelaras, H. & Kolaiti, E. & Koukouvinos, C., 2006. "Non-isomorphic orthogonal arrays obtained by juxtaposition," Statistics & Probability Letters, Elsevier, vol. 76(3), pages 274-279, February.
    5. Evangelaras, H. & Koukouvinos, C., 2003. "Effects confounded with blocks in factorial designs: a projective geometric approach with two blocks," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 105-111, August.
    6. H. Evangelaras & S. Georgiou & C. Koukouvinos, 2003. "Inequivalent projections of Hadamard matrices of orders 16 and 20," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 57(1), pages 29-35, February.

    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:43:y:1999:i:1:p:87-92. 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: 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.