Optimal designs for second-degree Kronecker model mixture experiments

✍ Scribed by Thomas Klein

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 458 KB
• Volume: 123
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(03)00145-9

✦ Synopsis

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 p-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.