IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v57y2003i1p29-35.html
   My bibliography  Save this article

Inequivalent projections of Hadamard matrices of orders 16 and 20

Author

Listed:
  • H. Evangelaras
  • S. Georgiou
  • C. Koukouvinos

Abstract

Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. It is of practical interest for a given k to know all the inequivalent projections of the design into the k dimensions. In this paper we give all the inequivalent projections of inequivalent Hadamard matrices of orders 16 and 20 into k=3, 4 and 5 dimensions, as well as their frequencies. Copyright Springer-Verlag 2003

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:57:y:2003:i:1:p:29-35
    DOI: 10.1007/s001840100180
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s001840100180
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s001840100180?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. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Evangelaras, H. & Koukouvinos, C., 2003. "On maximizing a design estimation efficiency using hidden projection properties," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 419-427, May.
    3. 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.
    4. 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.

    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., 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.
    2. Aggarwal, M. L. & Kaul, Renu, 1999. "Hidden projection properties of some optimal designs," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 87-92, May.
    3. Evangelaras, H. & Koukouvinos, C., 2004. "On generalized projectivity of two-level screening designs," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 429-434, July.
    4. 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.
    5. 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.
    6. 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.

    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:spr:metrik:v:57:y:2003:i:1:p:29-35. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.