IDEAS home Printed from
   My bibliography  Save this article

Nesting Plackett-Burman designs


  • John, Peter W. M.


Engineers often perform the runs in an experiment one after another in a sequence of nested designs. It would be desirable, for example, if an experimenter who is planning a Plackett-Burman design for p factors in twenty points could order them so that the first twelve points and the first sixteen points are also Plackett-Burman designs. Unfortunately, if 4 [less-than-or-equals, slant] p [less-than-or-equals, slant] 7, one cannot add four more points to or delete four points from a Plackett Burman design and obtain another Plackett Burman design. It follows that any Plackett Burman design for four factors in twelve runs must contain a pair of duplicate points and any such design for twenty points must have at least five duplicates.

Suggested Citation

  • John, Peter W. M., 1996. "Nesting Plackett-Burman designs," Statistics & Probability Letters, Elsevier, vol. 27(3), pages 221-223, April.
  • Handle: RePEc:eee:stapro:v:27:y:1996:i:3:p:221-223

    Download full text from publisher

    File URL:
    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.


    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:27:y:1996:i:3:p:221-223. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.