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Characterization of certain balancedn-ary block designs

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Summary

A balancedn-ary block design withRK=ΛV of Tocher [4] is completely characterized. It is noted thatB≧V holds for anon-trivial balancedn-ary block design, whereB is the number of blocks andV, the number of treatments.

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References

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  4. Tocher, K. D. (1952). Design and analysis of block experiments,J. R. Statist. Soc., B,14, 45–100.

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Authors and Affiliations

  1. Hiroshima University, Hiroshima, Japan

    Sanpei Kageyama

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  1. Sanpei Kageyama
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Kageyama, S. Characterization of certain balancedn-ary block designs. Ann Inst Stat Math 32, 107–110 (1980). https://doi.org/10.1007/BF02480316

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  • DOI: https://doi.org/10.1007/BF02480316

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