Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (4): 1023-1033.doi: 10.1007/s10473-021-0401-0

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Hao CHEN1, Jinyu YANG2, Min-Qian LIU2   

  1. 1. School of Statistics, Tianjin University of Finance and Economics, Tianjin 300222, China;
    2. School of Statistics and Data Science, LPMC & KLMDASR, Nankai University, Tianjin 300071, China
  • Received:2019-05-24 Revised:2020-05-19 Online:2021-08-25 Published:2021-09-01
  • Contact: Min-Qian LIU
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (11601367, 11771219 and 11771220), National Ten Thousand Talents Program, Tianjin Development Program for Innovation and Entrepreneurship, and Tianjin "131" Talents Program. The first two authors contributed equally to this work.

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.

Key words: Branching and nested factors, computer experiment, Gaussian process model, orthogonality

CLC Number: 

  • 62K15