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Optimal designs for order-of-addition experiments

Author

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  • Zhao, Yuna
  • Lin, Dennis K.J.
  • Liu, Min-Qian

Abstract

The order-of-addition (OofA) designs have received significant attention over recent years. It is of great interest to seek for efficient fractional OofA designs especially when the number of components is large. It has been recognized that constructing efficient fractional OofA designs is a challenging work. A systematic construction method for a class of efficient fractional OofA designs, called OofA orthogonal arrays (OofA-OAs), is proposed. It is shown that OofA-OAs are superior over any other type of fractional OofA designs for the predominant pair-wise ordering (PWO) model. The balance property of OofA-OAs is also developed. In addition, the capacity of OofA-OAs for estimating different models is investigated.

Suggested Citation

  • Zhao, Yuna & Lin, Dennis K.J. & Liu, Min-Qian, 2022. "Optimal designs for order-of-addition experiments," Computational Statistics & Data Analysis, Elsevier, vol. 165(C).
    • Handle: RePEc:eee:csdana:v:165:y:2022:i:c:s0167947321001547
    DOI: 10.1016/j.csda.2021.107320
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    References listed on IDEAS

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    1. Yuna Zhao & Dennis K. J. Lin & Min-Qian Liu, 2021. "Designs for order-of-addition experiments," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(8), pages 1475-1495, June.
    2. Chen, Jianbin & Mukerjee, Rahul & Lin, Dennis K.J., 2020. "Construction of optimal fractional Order-of-Addition designs via block designs," Statistics & Probability Letters, Elsevier, vol. 161(C).
    3. Xiao, Qian & Xu, Hongquan, 2021. "A mapping-based universal Kriging model for order-of-addition experiments in drug combination studies," Computational Statistics & Data Analysis, Elsevier, vol. 157(C).
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    Citations

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    Cited by:

    1. Shengli Zhao & Zehui Dong & Yuna Zhao, 2022. "Order-of-Addition Orthogonal Arrays with High Strength," Mathematics, MDPI, vol. 10(7), pages 1-17, April.
    2. Wang, Xiaodi & Huang, Hengzhen, 2023. "Group symmetric Latin hypercube designs for symmetrical global sensitivity analysis," Computational Statistics & Data Analysis, Elsevier, vol. 179(C).
    3. Dongying Wang & Sumin Wang, 2023. "Constructing Optimal Designs for Order-of-Addition Experiments Using a Hybrid Algorithm," Mathematics, MDPI, vol. 11(11), pages 1-20, May.

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