Construction of Full Order-of-Addition Generalization Simplex-Centroid Designs by the Directed Graph Approach
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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-01-01
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Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/10/3/443 |
Summary: | 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 <i>m</i>th-degree generalization simplex-centroid designs for <i>q</i> components by a class of the direction graphs, and a series of examples also confirms the value of the proposed algorithm. |
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ISSN: | 2227-7390 |