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Optimum Designs for a Multiresponse Regression Model

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  • Imhof, Lorens

Abstract

Exact n-point designs are given which are D-optimum for a simple multiresponse model, where the individual response variables can be represented by first-order and second-order models. The present results complement recent findings by Krafft and Schaefer, who obtained D-optimum n-point designs for several values of n. Furthermore, a conjecture on G-optimum n-point designs is given and the conjecture is proved for the simplest non-trivial case, that is, for n=4.

Suggested Citation

  • Imhof, Lorens, 2000. "Optimum Designs for a Multiresponse Regression Model," Journal of Multivariate Analysis, Elsevier, vol. 72(1), pages 120-131, January.
    • Handle: RePEc:eee:jmvana:v:72:y:2000:i:1:p:120-131
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    References listed on IDEAS

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    1. Soo, Yuh-Wen & Bates, Douglas M., 1996. "Multiresponse spline regression," Computational Statistics & Data Analysis, Elsevier, vol. 22(6), pages 619-631, October.
    2. Krafft, Olaf & Schaefer, Martin, 1992. "D-Optimal designs for a multivariate regression model," Journal of Multivariate Analysis, Elsevier, vol. 42(1), pages 130-140, July.
    3. Wolfgang Bischoff, 1995. "Determinant formulas with applications to designing when the observations are correlated," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(2), pages 385-399, June.
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    Cited by:

    1. Idais, Osama, 2020. "Locally optimal designs for multivariate generalized linear models," Journal of Multivariate Analysis, Elsevier, vol. 180(C).
    2. Kao, Ming-Hung & Khogeer, Hazar, 2021. "Optimal designs for mixed continuous and binary responses with quantitative and qualitative factors," Journal of Multivariate Analysis, Elsevier, vol. 182(C).

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