Work

Constructing $K-$optimal designs for different Scheffé models

Year: 2022

Type: preprint

Abstract: 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 Scheffé 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 Scheffé models. The analytical solutions for first-order and second-order Scheffé models are obtained. A series of numerical results and examples are given to illustrate the theory.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2210.07922

Authors: Jiang, Hao-sheng, Chen, Jia-li, Zhang, Chong-qi

Institution: Guangzhou University

Language: English

Topic: Optimal Experimental Design Methods

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: green

OpenAlex ID: W4306707194

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