Abstract
This paper considers the optimal design problem for multiresponse regression models. The \(R\)-optimality introduced by Dette (J R Stat Soc B 59:97–110, 1997) for single response experiments is extended to the case of multiresponse parameter estimation. A general equivalence theorem for the \(R\)-optimality is provided for multiresponse models. Illustrative examples of the \(R\)-optimal designs for two multiresponse models are presented based on the general equivalence theorem.
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This work was partially supported by NSFC grant (11071168,11101077), Special Funds for Doctoral Authorities of Education Ministry (20103127110002), Innovation Program of Shanghai Municipal Education Commission (11zz116), E-Institutes of Shanghai Municipal Education Commission (E03004), Shanghai Leading Academic Discipline Project (S30405).
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Liu, X., Yue, RX. A note on \(R\)-optimal designs for multiresponse models. Metrika 76, 483–493 (2013). https://doi.org/10.1007/s00184-012-0400-1
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DOI: https://doi.org/10.1007/s00184-012-0400-1