Abstract: Consider the problem of discriminating between two polynomial regression models on the-cube
,
, and estimating parameters in the models. To find designs which are efficient for both model discrimination and parameter estimation, Zen and Tsai (2002) proposed a multiple-objective optimality criterion for the univariate case. In this work, taking the same
-criterion which uses weight
for model discrimination and
for parameter estimation, the corresponding
-optimal product design is investigated. Based on the maximin principle on the
-efficiency of any
-optimal product design, a criterion-robust optimal product design is proposed.
Key words and phrases: Efficiency, γ-criterion, multiple-objective, product design.