TY - JOUR
T1 - On the equivalence of optimality design criteria for the placebo-treatment problem
AU - Dette, Holger
AU - Wong, Weng Kee
AU - Zhu, Wei
N1 - Funding Information:
The research of Wong is partially supported by a NIH research Grant R29 AR44177-01A1. The work of H. Dette was supported by the Deutsche Forschungsgemeinschaft (DE 502/14-1 and SFB 475, Komplexitätsreduktion in multivariaten Datenstrukturen, Teilprojekt A2).
PY - 2005/10/15
Y1 - 2005/10/15
N2 - We consider a class of optimality criteria and show that each criterion has its unique and equivalent dual within the class. This property can be used to find a variety of optimal designs, including a class of compound optimal designs and their relationships. As an example, we show that one type of D-optimal design provides analytical formula for a class of compound optimal designs, while its dual, the more traditional criterion, cannot.
AB - We consider a class of optimality criteria and show that each criterion has its unique and equivalent dual within the class. This property can be used to find a variety of optimal designs, including a class of compound optimal designs and their relationships. As an example, we show that one type of D-optimal design provides analytical formula for a class of compound optimal designs, while its dual, the more traditional criterion, cannot.
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U2 - 10.1016/j.spl.2005.04.055
DO - 10.1016/j.spl.2005.04.055
M3 - Article
AN - SCOPUS:25144445254
SN - 0167-7152
VL - 74
SP - 337
EP - 346
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 4
ER -