Optimal designs for second-degree Kronecker model mixture experiments |
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| Institution: | 1. Department of Electrical and Computer Engineering, Concordia University, Montreal, QC, Canada;2. Concordia Institute for Information Systems Engineering, Concordia University, Montreal, QC, Canada;1. Duke University Medical Center, Durham, North Carolina;2. Durham Veterans Administration Medical Center, Durham, North Carolina;3. Stanford University, Palo Alto California;4. Karolinska Institutet University Hospital, Stockholm, Sweden;5. Duke Clinical Research Institute, Durham, North Carolina |
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| Abstract: | The paper investigates optimal designs in the second-degree Kronecker model for mixture experiments. Three groups of novel results are presented: (i) characterization of feasible weighted centroid designs for a maximum parameter system, (ii) derivations of D-, A-, and E-optimal weighted centroid designs, and (iii) numerically φp-optimal weighted centroid designs. Results on a quadratic subspace of invariant symmetric matrices containing the information matrices involved in the design problem serve as a main tool throughout the analysis. |
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