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A note on R-optimal designs for multiresponse models |
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| Authors: | Xin Liu Rong-Xian Yue |
| Institution: | 1. College of Science of Donghua University, Shanghai, 201600, China 2. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China 3. Scientific Computing Key Laboratory, Shanghai Universities, Shanghai, 200234, China 4. Division of Scientific Computation of E-Institute, Shanghai Universities, Shanghai, 200234, China |
| 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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