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Construction of Improved Branching Latin Hypercube Designs

Authors
  • Chen, Hao1
  • Yang, Jinyu2
  • Liu, Min-Qian2
  • 1 Tianjin University of Finance and Economics, Tianjin, 300222, China , Tianjin (China)
  • 2 Nankai University, Tianjin, 300071, China , Tianjin (China)
Type
Published Article
Journal
Acta Mathematica Scientia
Publisher
Springer-Verlag
Publication Date
Jun 01, 2021
Volume
41
Issue
4
Pages
1023–1033
Identifiers
DOI: 10.1007/s10473-021-0401-0
Source
Springer Nature
Keywords
License
Yellow

Abstract

In this paper, we propose a new method, called the level-collapsing method, to construct branching Latin hypercube designs (BLHDs). The obtained design has a sliced structure in the third part, that is, the part for the shared factors, which is desirable for the qualitative branching factors. The construction method is easy to implement, and (near) orthogonality can be achieved in the obtained BLHDs. A simulation example is provided to illustrate the effectiveness of the new designs.

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