Constructing $K-$optimal designs for different Scheff\'{e} models

Autor: Jiang, Hao-sheng, Chen, Jia-li, Zhang, Chong-qi
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: To avoid multicollinearity in regression analysis, Ye and Zhou(2013) proposed $K-$optimality criterion. By far the most popular models for modeling the response of a mixture experiment are the Scheff\'{e} models. However, there have been no reports about constructing $K-$optimal designs for mixture models. The paper constructs $K-$optimal designs for first-order and second-order Scheff\'{e} models. The analytical solutions for first-order and second-order Scheff\'{e} models are obtained. A series of numerical results and examples are given to illustrate the theory.
Databáze: arXiv