A two-step construction procedure is proposed and three-, four-, and five-level space-filling fractional factorial designs are obtained. These new designs have better space-filling properties, such as larger di
Fractional factorial designs are widely used in various scientific investigations and industrial applications. Level permutation of factors could alter their geometrical structures and statistical properties. This article studies space-filling properties
All calculations are made with MATLAB, on a PC with a clock speed of 3.3 GHz and 8 GB RAM, and operations are vectorized whenever possible. Note that, whenever the solution at Step 3 is unique, the designs obtained in the two cases are identical. Exact forn=1,2, best (smallest) value...
Space-filling fractional factorial designs. J. Amer. Statist. Assoc. 109, 1134-1144.Zhou, Y.-D. and Xu, H. (2014). Space-filling fractional factorial designs. Journal of the American Statistical Association 109, 1134-1144.ZHOU, Y. D. & XU, H. (2014). Space-filling fractional ...
computer experiment,fractional factorial designorthogonal arrayorthogonalityprojection.We propose a general method for constructing Latin hypercubesof flexible run sizes for computer experiments. The method makes use ofarrays with a special structure and Latin hypercubes. By using differentsuch arrays and ...