Construction of Full Order-of-Addition Generalization Simplex-Centroid Designs by the Directed Graph Approach

Haosheng Jiang and Chongqi Zhang
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Haosheng Jiang: School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China
Chongqi Zhang: School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China

Mathematics, 2022, vol. 10, issue 3, 1-13

Abstract: The order-of-addition generalization simplex-centroid designs play a key role in mixture experiments, for example, the mixture experiments with process variables. The paper formally combines order-of-addition (OofA) with mixture components in the same experiment. This paper proposes a new algorithm which generates full OofA m th-degree generalization simplex-centroid designs for q components by a class of the direction graphs, and a series of examples also confirms the value of the proposed algorithm.

Keywords: iterative algorithm; order of addition; pair-wise order; mixture design (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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