Uniform row augmented designs with multi-level

Jiaqi Liu, Zujun Ou and Hongyi Li

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 15, 3491-3504

Abstract: In many practical applications, follow-up experimental designs are commonly used to explore the relationship between inputs and outputs step by step. As some additional resources become available to the experimenter after the first step, some extra runs may be added in the follow-up stage. The issue of uniform row augmented designs with multi-level is investigated in this paper. The uniformity of row augmented designs with four- or five-level is respectively discussed under the Lee discrepancy, and the lower bounds of Lee discrepancy for row augmented designs are obtained, which can be served as the benchmark for searching uniform row augmented designs. Some numerical examples show that the uniform row augmented designs can be constructed with high efficiency.

Date: 2021
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DOI: 10.1080/03610926.2019.1705979

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