Component projection balanced designs for order of addition experiments

Bing Guo, Xueping Chen and Xiaodi Wang

Statistics & Probability Letters, 2024, vol. 211, issue C

Abstract: The order of addition experiments are prevalent in many scientific and industrial areas. Due to limitations such as experimental resources and time, conducting a full experiment is often not feasible. The question of how to find a subset that represents the full design is of concern to researchers and practitioners. This paper introduces a new class of order of addition design called component projection balanced design, which implement component projection first and then perform balance. Component projection balanced designs offer several advantages and are free of model. These designs with strength four or greater exhibit ϕ-optimality, ensuring efficient and effective experiments. Combinatorial methods and searching algorithms are presented to facilitate the construction of these designs.

Keywords: Component projection; Order-of-addition experiment; Optimal design; Orthogonal array (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110146

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