Constructing $K-$optimal designs for different Scheff\'{e} models
Statistics Theory
2022-10-17 v1 Statistics Theory
Abstract
To avoid multicollinearity in regression analysis, Ye and Zhou(2013) proposed 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 optimal designs for mixture models. The paper constructs 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.
Keywords
Cite
@article{arxiv.2210.07922,
title = {Constructing $K-$optimal designs for different Scheff\'{e} models},
author = {Hao-sheng Jiang and Jia-li Chen and Chong-qi Zhang},
journal= {arXiv preprint arXiv:2210.07922},
year = {2022}
}