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Construction of Improved Branching Latin Hypercube Designs

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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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Correspondence to Min-Qian Liu  (刘民千).

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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

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Chen, H., Yang, J. & Liu, MQ. Construction of Improved Branching Latin Hypercube Designs. Acta Math Sci 41, 1023–1033 (2021). https://doi.org/10.1007/s10473-021-0401-0

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  • DOI: https://doi.org/10.1007/s10473-021-0401-0

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