Constructing K-optimal designs for different Scheffé models

2022/10/14 by Hao-sheng Jiang, Jiali Chen, Jiang, Hao-sheng +3
Decision Sciences · #Optimal Experimental Design Methods

paper · pdf · doi:10.48550/arxiv.2210.07922

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.

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