Constructing K-optimal designs for different Scheff\'e models
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 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.
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