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Construction of optimal fractional Order-of-Addition designs via block designs

Author

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  • Chen, Jianbin
  • Mukerjee, Rahul
  • Lin, Dennis K.J.

Abstract

Order of addition (OofA) experiments have found wide applications. Each order (run) of an OofA experiment is a permutation of m(≥2) components. It is typically infeasible to compare all the m! possible runs, especially when m is large. This calls for experimentation with a subset or fraction of these m! runs. However, only a few systematic results are available on the construction of such fractions ensuring optimality. We employ block designs to propose a systematic combinatorial construction method for optimal fractional OofA designs, and extend the method to construct highly efficient OofA designs, both in much smaller run sizes than the currently available optimal fractions.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:stapro:v:161:y:2020:i:c:s0167715220300316
    DOI: 10.1016/j.spl.2020.108728
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    References listed on IDEAS

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    1. Akira Shinohara & Tomoko Ogawa, 1998. "Stimulation by Rad52 of yeast Rad51- mediated recombination," Nature, Nature, vol. 391(6665), pages 404-407, January.
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    Cited by:

    1. 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).
    2. Shengli Zhao & Zehui Dong & Yuna Zhao, 2022. "Order-of-Addition Orthogonal Arrays with High Strength," Mathematics, MDPI, vol. 10(7), pages 1-17, April.
    3. Rios, Nicholas & Winker, Peter & Lin, Dennis K.J., 2022. "TA algorithms for D-optimal OofA Mixture designs," Computational Statistics & Data Analysis, Elsevier, vol. 168(C).

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