Affiliation:
1. School of Statistics and Data Science, LPMC & KLMDASR, Nankai University, Tianjin 300071, China
Abstract
For the design of computer experiments, column orthogonality and space-filling are two desirable properties. In this paper, we develop methods for constructing a new class of column-orthogonal designs (ODs) with two-dimensional stratifications on finer grids, including orthogonal Latin hypercube designs (OLHDs) as special cases. In addition to being column-orthogonal, these designs have good space-filling properties in two dimensions. The resulting designs achieve stratifications on s2×s or s×s2 grids, and most column pairs satisfy stratifications on s2×s2 grids. Moreover, many column pairs can achieve stratifications on s4×s2 and s2×s4 grids. Furthermore, the obtained space-filling ODs can have s6 levels, s4 levels, and mixed levels, as required for different needs.
Funder
National Natural Science Foundation of China
National Ten Thousand Talents Program of China
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. Fang, K.T., Li, R., and Sudjianto, A. (2006). Design and Modeling for Computer Experiments, Chapman and Hall/CRC.
2. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code;McKay;Technometrics,1979
3. Wu, C.F.J., and Hamada, M.S. (2021). Experiments: Planning, Analysis and Optimization, John Wiley & Sons. [3rd ed.].
4. Orthogonal arrays based Latin hypercubes;Tang;J. Am. Stat. Assoc.,1993
5. Maximum projection designs for computer experiments;Joseph;Biometrika,2015