Minimax design criterion for fractional factorial designs
Date
2015-08
Authors
Yin, Yue
Zhou, Julie
Journal Title
Journal ISSN
Volume Title
Publisher
Annals of the Institute of Statistical Mathematics
Abstract
An A-optimal minimax design criterion is proposed to construct fractional factorial designs, which extends the study of the D-optimal minimax design criterion in Lin and Zhou (2013). The resulting A-optimal and D-optimal minimax designs minimize, respectively, the maximum trace and determinant of the mean squared error matrix of the least squares estimator (LSE) of the effects in the linear model. When there is a misspecification of the effects in the model, the LSE is biased and the minimax designs have some control over the bias. Various design properties are investigated for two-level and mixed-level fractional factorial designs. In addition, the relationships among A-optimal, D-optimal, E-optimal, A-optimal minimax and D-optimal minimax designs are explored.
Description
Keywords
A-optimal design, D-optimal design, factorial design, model misspecification, requirement set, robust design
Citation
Yin, Y., & Zhou, J. (2015). Minimax design criterion for fractional factorial designs. Annals of the Institute of Statistical Mathematics, 67(4), 673-685.