Orthogonal uniform composite designs for the third-order models

Abstract

The third-order response surface designs are designs used to estimate the parameters of the third-order polynomial model. In this paper, the orthogonal uniform composite designs that combine two-level orthogonal array and four-level uniform design denoted by ${\mathrm{OUCD}}_4$ for estimating the parameters of the third-order models are proposed. The ${\mathrm{OUCD}}_4$ are good space-filling and efficient designs, that uses resolution IV as the initial design, provide more flexible run sizes, have the ability to execute in-depth analysis and perform multiple analysis with different parts of the data for cross-validation.