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| Titel: |
D-optimal design for a quadratic log contrast model for experiments with mixtures |
| Auteur: |
Chan, Ling-Yau |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 21 (1992) nr. 10 pagina's 2909-2930 |
| Jaar: |
1992 |
| Inhoud: |
A practical method is suggested for solving complicated D-optimal design problems analytically. Using this method the author has solved the problem for a quadratic log contrast model for experiments with mixtures introduced by J. Aitchison and J. Bacon-Shone. It is found that for a symmetric subspace of the finite dimensional simplex, the vertices and the centroid of this subspace are the only possible support points for a D-optimal design. The weights that must be assigned to these support points contain irrational numbers and are constrained by a system of three simultaneous linear equations, except for the special cases of 1- and 2-dimensional simplexes where the situation is much simpler. Numerical values for the solution are given up to the 19-dimensional simplex |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 4 van 20 gevonden artikelen
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