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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
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    Cited by:

    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. 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.

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