IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i4p378-d225977.html
   My bibliography  Save this article

Optimal Repeated Measurements for Two Treatment Designs with Dependent Observations: The Case of Compound Symmetry

Author

Listed:
  • Miltiadis S. Chalikias

    (Department of Accounting and Finance, School of Business, Economics and Social Sciences, University of West Attica, 12244 Egaleo, Greece)

Abstract

In this paper, we construct optimal repeated measurement designs of two treatments for estimating direct effects, and we examine the case of compound symmetry dependency. We present the model and the design that minimizes the variance of the estimated difference of the two treatments. The optimal designs with dependent observations in a compound symmetry model are the same as in the case of independent observations.

Suggested Citation

  • Miltiadis S. Chalikias, 2019. "Optimal Repeated Measurements for Two Treatment Designs with Dependent Observations: The Case of Compound Symmetry," Mathematics, MDPI, vol. 7(4), pages 1-6, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:378-:d:225977
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/4/378/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/4/378/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Miltiadis Chalikias & Stratis Kounias, 2017. "Optimal two treatment repeated measurement designs for three periods," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 200-209, January.
    2. Kounias, Stratis & Chalikias, Miltiadis, 2008. "Estimability of parameters in a linear model and related characterizations," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2437-2439, October.
    3. Hedayat A.S. & Yang M., 2004. "Universal Optimality for Selected Crossover Designs," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 461-466, January.
    4. Hedayat, A. S. & Zheng, Wei, 2010. "Optimal and Efficient Crossover Designs for Test-Control Study When Subject Effects Are Random," Journal of the American Statistical Association, American Statistical Association, vol. 105(492), pages 1581-1592.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Jilber Urbina & Miguel Santolino & Montserrat Guillen, 2021. "Covariance Principle for Capital Allocation: A Time-Varying Approach," Mathematics, MDPI, vol. 9(16), pages 1-13, August.
    2. Miltiadis S. Chalikias, 2019. "Optimal Designs for Carry Over Effects the Case of Two Treatment and Four Periods," Mathematics, MDPI, vol. 7(12), pages 1-10, December.

    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. Miltiadis S. Chalikias, 2019. "Optimal Designs for Carry Over Effects the Case of Two Treatment and Four Periods," Mathematics, MDPI, vol. 7(12), pages 1-10, December.
    2. V. Sharma, 2013. "Universally optimal balanced changeover designs with first residuals," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(3), pages 339-346, April.
    3. Miltiadis S. Chalikias, 2023. "Optimal Designs for Direct Effects: The Case of Two Treatments and Five Periods," Mathematics, MDPI, vol. 11(24), pages 1-12, December.
    4. Chi-Lu Peng & Wen-Kuei Chen & An-Pin Wei, 2021. "Teaching CAPM for a Pre-Finance Graduate Program at the STEM Undergraduate Level: Linear Algebra Perspective," Mathematics, MDPI, vol. 9(14), pages 1-22, July.

    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:7:y:2019:i:4:p:378-:d:225977. 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.