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Uniform Shell Designs

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  • David H. Doehlert

Abstract

Designs are generated which have an equally spaced distribution of points lying on concentric spherical shells. They have uniform space‐filling properties and are tabulated up to ten factors. The designs are shown to be more uniform than familiar experimental designs on the basis of two measures of uniformity. Their use is illustrated by an example with four factors.

Suggested Citation

  • David H. Doehlert, 1970. "Uniform Shell Designs," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 19(3), pages 231-239, November.
    • Handle: RePEc:bla:jorssc:v:19:y:1970:i:3:p:231-239
    DOI: 10.2307/2346327
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    Cited by:

    1. Román-Ramírez, L.A. & Marco, J., 2022. "Design of experiments applied to lithium-ion batteries: A literature review," Applied Energy, Elsevier, vol. 320(C).
    2. Zhang, Mei & Zhou, Yong-Dao, 2016. "Spherical discrepancy for designs on hyperspheres," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 226-234.
    3. Fockink, Douglas H. & Morais, Ana R.C. & Ramos, Luiz P. & Łukasik, Rafał M., 2018. "Insight into the high-pressure CO2 pre-treatment of sugarcane bagasse for a delivery of upgradable sugars," Energy, Elsevier, vol. 151(C), pages 536-544.

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