TY - JOUR
T1 - Optimal designs for mixture models with amount constraints
AU - Zhang, Chongqi
AU - Wong, Weng Kee
N1 - Funding Information:
We wish to thank two referees and the Associate Editor for their very helpful comments on an earlier version of this paper. Weng Kee Wong worked on this manuscript when he was a visiting fellow and a member of the scientific advisory board for a six-month workshop on the design and analysis of experimental designs at The Sir Isaac Newton Institute in Cambridge, England. He would like to thank the institute for the support during his repeated visits in the second half of 2011. The whole work was jointly supported by National Nature Sciences Foundation of China ( 10871054 ).
PY - 2013/1
Y1 - 2013/1
N2 - Optimal designs for mixture experiments defined on the regular simplex are widely available but a lot fewer optimal designs are available for mixture experiments defined on the q-dimensional design space: S * q=(z 1 .,z q)'∈R q{pipe}z 1+zq≤ 1, zi 0, i = 1 .,q. This paper proposes a flexible class of models for mixture experiments defined on Sq and gives a simple method for finding D and A-optimal designs for the models using optimal designs available for the mixture experiments defined on the regular simplex.
AB - Optimal designs for mixture experiments defined on the regular simplex are widely available but a lot fewer optimal designs are available for mixture experiments defined on the q-dimensional design space: S * q=(z 1 .,z q)'∈R q{pipe}z 1+zq≤ 1, zi 0, i = 1 .,q. This paper proposes a flexible class of models for mixture experiments defined on Sq and gives a simple method for finding D and A-optimal designs for the models using optimal designs available for the mixture experiments defined on the regular simplex.
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U2 - 10.1016/j.spl.2012.08.029
DO - 10.1016/j.spl.2012.08.029
M3 - Article
AN - SCOPUS:84868629251
SN - 0167-7152
VL - 83
SP - 196
EP - 202
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 1
ER -