IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i9p1352-d1385692.html
   My bibliography  Save this article

Group Doubly Coupled Designs

Author

Listed:
  • Weiping Zhou

    (School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China
    Center for Applied Mathematics of Guangxi (GUET), Guilin 541004, China)

  • Shigui Huang

    (School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China
    Center for Applied Mathematics of Guangxi (GUET), Guilin 541004, China)

  • Min Li

    (School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China)

Abstract

Doubly coupled designs (DCDs) have better space-filling properties between the qualitative and quantitative factors than marginally coupled designs (MCDs) which are suitable for computer experiments with both qualitative and quantitative factors. In this paper, we propose a new class of DCDs, called group doubly coupled designs (GDCDs), and provide methods for constructing two forms of GDCDs, within-group doubly coupled designs and between-group doubly coupled designs. The proposed GDCDs can accommodate more qualitative factors than DCDs, when the subdesigns for the qualitative factors are symmetric. The subdesigns of qualitative factors are not asymmetric in the existing results on DCDs, and in this paper, we construct GDCDs with symmetric and asymmetric designs for the qualitative factors, respectively. Moreover, detailed comparisons with existing MCDs show that GDCDs have better space-filling properties between qualitative and quantitative factors. Finally, the methods are particularly easy to implement.

Suggested Citation

  • Weiping Zhou & Shigui Huang & Min Li, 2024. "Group Doubly Coupled Designs," Mathematics, MDPI, vol. 12(9), pages 1-21, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1352-:d:1385692
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/9/1352/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/9/1352/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:12:y:2024:i:9:p:1352-:d:1385692. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.