Abstract
Extending Scheffé's simplex-centroid design for experiments with mixtures, we introduce a weighted simplex-centroid design for a class of mixture models. Becker's homogeneous functions of degree one belong to this class. By applying optimal design theory, we obtain A-, D- and I-optimal allocations of observations for Becker's models.
| Original language | English |
|---|---|
| Pages (from-to) | 53-66 |
| Number of pages | 14 |
| Journal | Metrika |
| Volume | 45 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 1997 |
| Externally published | Yes |
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Experiments with mixtures : Optimal allocations for Becker's models. / Liu, Shuangzhe; Neudecker, Heinz.
In: Metrika, Vol. 45, No. 1, 01.01.1997, p. 53-66.Research output: Contribution to journal › Article
TY - JOUR
T1 - Experiments with mixtures
T2 - Optimal allocations for Becker's models
AU - Liu, Shuangzhe
AU - Neudecker, Heinz
PY - 1997/1/1
Y1 - 1997/1/1
N2 - Extending Scheffé's simplex-centroid design for experiments with mixtures, we introduce a weighted simplex-centroid design for a class of mixture models. Becker's homogeneous functions of degree one belong to this class. By applying optimal design theory, we obtain A-, D- and I-optimal allocations of observations for Becker's models.
AB - Extending Scheffé's simplex-centroid design for experiments with mixtures, we introduce a weighted simplex-centroid design for a class of mixture models. Becker's homogeneous functions of degree one belong to this class. By applying optimal design theory, we obtain A-, D- and I-optimal allocations of observations for Becker's models.
KW - A-, D- and I-optimal allocations
KW - Becker's models
KW - Experiments with mixtures
KW - Scheffé's canonical polynomials
KW - Weighted simplex-centroid design
UR - http://www.scopus.com/inward/record.url?scp=0040007386&partnerID=8YFLogxK
U2 - 10.1007/BF02717093
DO - 10.1007/BF02717093
M3 - Article
VL - 45
SP - 53
EP - 66
JO - Metrika
JF - Metrika
SN - 0026-1335
IS - 1
ER -