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Resolvable semi-balanced incomplete split-block designs

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Abstract.

A method for constructing some new incomplete split-block designs with desirable properties is given. The new class of the designs is characterized with respect to the general balance property. Moreover, the efficiency factors of the designs proposed are given.

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Acknowledgments.

The authors would like to thank to JSPS and KBN for giving them an opportunity to carry out this joint research in Japan and in Poland. The work was supported by Ministry of Education, Culture, Sports, Science and Technology, Grant-in-Aid for Young Scientists (B)14780173 to K. Ozawa.

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Author notes

  1. Masakazu Jimbo

    Present address: Graduate School of Information Science, Nagoya University, Nagoya, 4648601, Japan

Authors and Affiliations

  1. Department of Mathematical Sciences, Osaka Prefecture University, Sakai, 599-8531, Japan

    Shinji Kuriki

  2. Department of Mathematical and Statistical Methods, Agricultural University of Poznań, PL-60-637, Poznań, ul. Wojska Polskiego 28, Poland

    Iwona Mejza & Stanisław Mejza

  3. Department of Mathematics, Keio University, Yokohama, 223-8522, Japan

    Masakazu Jimbo

  4. Department of Nursing, Gifu College of Nursing, Hashima, 501-6295, Japan

    Kazuhiro Ozawa

Authors
  1. Shinji Kuriki
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  2. Iwona Mejza
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  3. Masakazu Jimbo
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  4. Stanisław Mejza
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  5. Kazuhiro Ozawa
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Additional information

Received: July 2003 / Revised: November 2003

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Kuriki, S., Mejza, I., Jimbo, M. et al. Resolvable semi-balanced incomplete split-block designs. Metrika 61, 9–16 (2005). https://doi.org/10.1007/s001840400320

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  • DOI: https://doi.org/10.1007/s001840400320

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