Year
Month
(Peer-Reviewed) Construction of Multi-level Space-filling Designs via Code Mappings
Hui-li XUE 薛慧丽, Xing-you HUANG 黄兴友, Hong-yi LI 李洪毅
College of Mathematics and Statistics, Jishou University, Jishou 416000, China
中国 吉首 吉首大学数学与统计学院
Abstract

Space-filling designs are widely used in various fields because of their nice space-filling properties. Uniform designs are one of space-filling designs, which desires the experimental points to scatter uniformly over the experimental area. For practical need, the construction and their properties of nine-level uniform designs are discussed via two code mappings in this paper.

Firstly, the algorithm of constructing nine-level uniform designs is presented from an initial three-level design by the Type-I code mapping and tripling technique. Secondly, the algorithm of constructing nine-level uniform designs is presented from a three-level base design by the Type-II code mapping and generalized orthogonal arrays. Moreover, relative properties are discussed based on the two code mappings. Finally, some numerical examples are given out for supporting our theoretical results.
Construction of Multi-level Space-filling Designs via Code Mappings_1
Construction of Multi-level Space-filling Designs via Code Mappings_2
Construction of Multi-level Space-filling Designs via Code Mappings_3
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