IDEAS home Printed from https://ideas.repec.org/a/spr/stpapr/v63y2022i6d10.1007_s00362-022-01287-y.html
   My bibliography  Save this article

Optimality of circular equineighbored block designs under correlated observations

Author

Listed:
  • Razieh Khodsiani

    (K. N. Toosi University of Technology)

  • Saeid Pooladsaz

    (Isfahan University of Technology)

Abstract

In some experiments each observation is correlated to the observations in its neighborhoods. The circulant correlation is a structure with this situation for circular block designs. The main aim of this paper is to study optimal properties of some circular block designs under the model with circulant correlation. Also, we introduce circular equineighbored designs (CEDs) and show that, under circulant correlation, some CEDs are universally optimal over the class of generalized binary block designs. Some methods of construction these optimal designs with various number of treatments and block sizes are presented.

Suggested Citation

  • Razieh Khodsiani & Saeid Pooladsaz, 2022. "Optimality of circular equineighbored block designs under correlated observations," Statistical Papers, Springer, vol. 63(6), pages 1743-1755, December.
    • Handle: RePEc:spr:stpapr:v:63:y:2022:i:6:d:10.1007_s00362-022-01287-y
    DOI: 10.1007/s00362-022-01287-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00362-022-01287-y
    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/s00362-022-01287-y?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. K. Filipiak & A. Markiewicz, 2007. "Optimal designs for a mixed interference model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(3), pages 369-386, May.
    2. K. Filipiak & A. Markiewicz, 2005. "Optimality and efficiency of circular neighbor balanced designs for correlated observations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 61(1), pages 17-27, February.
    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. Katarzyna Filipiak & Razieh Khodsiani & Augustyn Markiewicz, 2019. "Optimality of block designs under the model with the first-order circular autoregression," Statistical Papers, Springer, vol. 60(2), pages 427-447, April.
    2. Katarzyna Filipiak & Augustyn Markiewicz, 2017. "Universally optimal designs under mixed interference models with and without block effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(6), pages 789-804, November.
    3. Akram Fakhari-Esferizi & Saeid Pooladsaz, 2022. "Universally optimal balanced block designs for interference model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(8), pages 1049-1061, November.
    4. Filipiak, Katarzyna, 2012. "Universally optimal designs under an interference model with equal left- and right-neighbor effects," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 592-598.
    5. Filipiak, Katarzyna & Rózanski, Rafal & Sawikowska, Aneta & Wojtera-Tyrakowska, Dominika, 2008. "On the E-optimality of complete designs under an interference model," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2470-2477, October.
    6. Katarzyna Filipiak & Rafał Różański, 2009. "Connectedness of complete block designs under an interference model," Statistical Papers, Springer, vol. 50(4), pages 779-787, August.
    7. Futao Zhang & Xiangshun Kong, 2023. "Optimal Designs for Proportional Interference Models with Different Guarding Strategies," Mathematics, MDPI, vol. 11(2), pages 1-14, January.
    8. K. Filipiak & A. Markiewicz, 2007. "Optimal designs for a mixed interference model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(3), pages 369-386, May.
    9. Kunert, Joachim & Mersmann, Sabine, 2009. "Optimal designs for an interference model," Technical Reports 2009,08, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.

    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:stpapr:v:63:y:2022:i:6:d:10.1007_s00362-022-01287-y. 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.