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Some characterization of locally resistant BIB designs of degree one

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Summary

This paper investigates locally resistant balanced incomplete block (LRBIB) designs of degree one. A new necessary condition for the existence of such an LRBIB design is presented. This condition yields a complete characterization of affine α-resolvable LRBIB designs of degree one. Furthermore, regarding construction methods of LRBIB designs of degree one, it is shown that Shah and Gujarathi's method (1977,Sankhyã, B39, 406–408) yields the same parameters as Hedayat and John's method (1974,Ann. Statist.,2, 148–158), but their block structures are different and interesting.

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Authors and Affiliations

  1. Hiroshima University, Hiroshima, USA

    Sanpei Kageyama

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  1. Sanpei Kageyama
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Partially supported by Grants 59540043 (C) and 60530014 (C).

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Kageyama, S. Some characterization of locally resistant BIB designs of degree one. Ann Inst Stat Math 39, 661–669 (1987). https://doi.org/10.1007/BF02491498

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  • DOI: https://doi.org/10.1007/BF02491498

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