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Optimality and efficiency of incomplete split-block designs

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Abstract.

In this paper, a balanced incomplete split-block design (BISBD) is shown to be universally optimum for the estimation of the interaction effects with respect to each of the intra-plot stratum estimation and the GLSE. Furthermore, the efficiency factor of an optimal design is investigated.

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Authors and Affiliations

  1. Department of Information Science, Gifu University, Gifu 501-1193, Japan (e-mail: ozawa@info.gifu-u.ac.jp), , , , , , JP

    Kazuhiro Ozawa

  2. Department of Mathematics, Keio University, Yokohama 223-8522, Japan (e-mail: jimbo@math.keio.ac.jp), , , , , , JP

    Masakazu Jimbo

  3. Department of Mathematics, Hiroshima University, Higashi-Hiroshima 739-8524, Japan (e-mail: ksanpei@sed.hiroshima-u.ac.jp), , , , , , JP

    Sanpei Kageyama

  4. Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Poland (e-mail: smejza@owl.au.poznan.pl), , , , , , PL

    Stanisław Mejza

Authors
  1. Kazuhiro Ozawa
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  2. Masakazu Jimbo
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  3. Sanpei Kageyama
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  4. Stanisław Mejza
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Ozawa, K., Jimbo, M., Kageyama, S. et al. Optimality and efficiency of incomplete split-block designs. Metrika 56, 1–18 (2002). https://doi.org/10.1007/s001840100150

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  • DOI: https://doi.org/10.1007/s001840100150

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