IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v78y2015i5p529-548.html
   My bibliography  Save this article

Blocked semifoldovers of two-level orthogonal designs

Author

Listed:
  • Po Yang
  • Chang-Yun Lin
  • William Li

Abstract

Follow-up experimentation is often necessary to the successful use of fractional factorial designs. When some effects are believed to be significant but cannot be estimated using an initial design, adding another fraction is often recommended. As the initial design and its foldover (or semifoldover) are usually conducted at different stages, it may be desirable to include a block factor. In this article, we study the blocking effect of such a factor on foldover and semifoldover designs. We consider two general cases for the initial designs, which can be either unblocked or blocked designs. In both cases, we explore the relationships between semifoldover of a design and its corresponding foldover design. More specifically, we obtain some theoretical results on when a semifoldover design can estimate the same two-factor interactions or main effects as the corresponding foldover. These results can be important for those who want to take advantage of the run size savings of a semifoldover without sacrificing the ability to estimate important effects. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Po Yang & Chang-Yun Lin & William Li, 2015. "Blocked semifoldovers of two-level orthogonal designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(5), pages 529-548, July.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:5:p:529-548
    DOI: 10.1007/s00184-014-0514-8
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00184-014-0514-8
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00184-014-0514-8?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.

    Citations

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


    Cited by:

    1. Po Yang & William Li, 2019. "Some properties of foldover designs with column permutations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(6), pages 705-717, August.
    2. Wenlong Li & Bing Guo & Hengzhen Huang & Min-Qian Liu, 2021. "Semifoldover plans for three-level orthogonal arrays with quantitative factors," Statistical Papers, Springer, vol. 62(6), pages 2691-2709, December.

    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:78:y:2015:i:5:p:529-548. 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: 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.