IDEAS home Printed from https://ideas.repec.org/a/spr/metrik/v84y2021i2d10.1007_s00184-020-00761-7.html
   My bibliography  Save this article

Minimum aberration blocked designs with multiple block variables

Author

Listed:
  • Shengli Zhao

    (Qufu Normal University)

  • Qianqian Zhao

    (Qufu Normal University)

Abstract

The concept of minimum aberration (MA) is a well-accepted criterion for selecting good fractional factorial designs, in both unblocked and blocked designs with a single block variable. This paper extends the concept to blocked designs with multiple block variables and considers the construction of MA blocked designs with multiple block variables with respect to two wordlength patterns. By using a finite projective geometric approach, we obtain identities that govern the relationship between the blocking wordlength patterns of a general blocked design and a relatively small blocked design with the same block factors. Based on these identities, we establish the rules for finding MA designs with multiple block variables in terms of the relatively small blocked designs. Some MA blocked designs are tabulated.

Suggested Citation

  • Shengli Zhao & Qianqian Zhao, 2021. "Minimum aberration blocked designs with multiple block variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(2), pages 121-140, February.
    • Handle: RePEc:spr:metrik:v:84:y:2021:i:2:d:10.1007_s00184-020-00761-7
    DOI: 10.1007/s00184-020-00761-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00184-020-00761-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00184-020-00761-7?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. Sheng-Li Zhao & Peng-Fei Li, 2016. "Construction of minimum aberration blocked two-level regular factorial designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(17), pages 5028-5036, September.
    2. Shengli Zhao & Pengfei Li & Rohana Karunamuni, 2013. "Blocked two-level regular factorial designs with weak minimum aberration," Biometrika, Biometrika Trust, vol. 100(1), pages 249-253.
    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. Qianqian Zhao & Shengli Zhao, 2019. "Some results on two-level regular designs with multi block variables containing clear effects," Statistical Papers, Springer, vol. 60(5), pages 1569-1582, October.
    2. Chen, Baixi & Li, Zhiming & Li, Zhi & Peng, Can, 2023. "The calculation of alias pattern in three-level regular designs," Statistics & Probability Letters, Elsevier, vol. 202(C).
    3. J. D. Godolphin, 2021. "Construction of blocked factorial designs to estimate main effects and selected two‐factor interactions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(1), pages 5-29, 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:84:y:2021:i:2:d:10.1007_s00184-020-00761-7. 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.