BIRS Workshop Lecture Videos
Minimax design criterion for fractional factorial designs Yin, Yue
We consider an A-optimal minimax design criterion for mixed-level fractional factorial designs in this talk. The linear model usually includes all the main eﬀects and some speciﬁed interactions among the factors, and we use a requirement set to denote all those eﬀects. A-optimal minimax design criterion is to minimize the maximum trace of the mean squared error matrix of the least squares estimator of the eﬀects in the model, and the maximum is taken over small possible departures of the requirement set. A-optimal minimax design is robust against misspeciﬁcation of the requirement set. Various design properties will be presented for two-level and mixed-level fractional factorial designs. An example is given to compare the results for A-optimal, D-optimal, E-optimal, A-optimal minimax and D-optimal minimax designs.
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