IDEAS home Printed from https://ideas.repec.org/a/gam/jstats/v8y2025i4p96-d1768840.html

Robust Parameter Designs Constructed from Hadamard Matrices

Author

Listed:
  • Yingfu Li

    (College of Science and Engineering, University of Houston—Clear Lake, Houston, TX 77058, USA)

  • Kalanka P. Jayalath

    (Department of Mathematics and Statistics, University of Houston—Clear Lake, Houston, TX 77058, USA)

Abstract

The primary objective of robust parameter design (RPD) is to determine the optimal settings of control factors in a system to minimize response variance while achieving a desirable mean response. This article investigates fractional factorial designs constructed from Hadamard matrices of orders 12, 16, and 20 to meet RPD requirements with minimal runs. For various combinations of control and noise factors, rather than recommending a single “best” design, up to the top ten good candidate designs are identified. All listed designs permit the estimation of all control-by-noise interactions and the main effects of both control and noise factors. Additionally, some nonregular RPDs allow for the estimation of one or two control-by-control interactions, which may be critical for achieving optimal mean response. These results provide practical options for efficient, resource-constrained experiments with economical run sizes.

Suggested Citation

  • Yingfu Li & Kalanka P. Jayalath, 2025. "Robust Parameter Designs Constructed from Hadamard Matrices," Stats, MDPI, vol. 8(4), pages 1-14, October.
    • Handle: RePEc:gam:jstats:v:8:y:2025:i:4:p:96-:d:1768840
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2571-905X/8/4/96/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2571-905X/8/4/96/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. David J. Edwards & Robert W. Mee, 2023. "Structure of Nonregular Two-Level Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 118(542), pages 1222-1233, April.
    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.

      More about this item

      Keywords

      ;
      ;
      ;

      Statistics

      Access and download statistics

      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:jstats:v:8:y:2025:i:4:p:96-:d:1768840. 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: 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.