Robustness of orthogonal uniform composite designs against outlier

Abstract

Outliers are inconsistent values that commonly occur in every experimental setting and damage the designs' properties to be explored. Based on the orthogonal uniform composite designs (OUCDs) proposed by Zhang et al., this article introduces a new class of second-order designs called orthogonal array composite minimax outlying designs by using the minimax outlying criterion that minimizes the maximum outlying effect of all design points. The proposed designs' efficiencies and generalized scaled standard deviations are compared with central composite design, small composite designs, orthogonal array composite designs, orthogonal array composite minimax loss designs, and OUCDs. The proposed designs are more robust to outlier than the existing OUCDs. These new designs are more optimal in terms of D-, E-, G- and T- efficiencies in most cases than the existing composite designs.

Keywords:

• Central composite designs
• D-efficiency
• G-efficiency
• Generalized scaled standard deviations
• Orthogonal uniform composite designs
• Outliers
• Uniform designs