Abstract
We consider mixture experiments in which the proportions of the components must be non-negative and their sum must equal one. Thus, the experimental region for a mixture of components is a simplex. Li and Zhang (2017) made the conjecture that the pseudo component transformation of the lattice points in the simplex has a special property. In this paper, we show that this conjecture is not true in general. Furthermore, we refine this conjecture and prove the refined conjecture.
Original language | English |
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Article number | 1427 |
Journal | Symmetry |
Volume | 12 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2020 Sept |
Keywords
- Lattice points
- Mixture experiments
- Pseudo component transformation
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Chemistry (miscellaneous)
- Mathematics(all)
- Physics and Astronomy (miscellaneous)