Response surface methodology is widely used for developing, improving, and optimizing processes in various fields. In this article, we present a method for constructing second-order rotatable designs in order to explore and optimize response surfaces based on an infinite class of supplementary difference sets. The produced designs achieve both properties of rotatability and estimation efficiency. Also, they possess good predictive properties.

Supplementary difference sets, Efficiency, Predictive properties, Rotatability, Second-order response surface designs,
Communications in Statistics: Simulation and Computation
Erasmus Research Institute of Management

Koukouvinos, C, Mylona, K, Skountzou, A, & Goos, P.P. (2013). A general construction method for five-level second-order rotatable designs. Communications in Statistics: Simulation and Computation, 42(9), 1961–1969. doi:10.1080/03610918.2012.687062