Skip to main content
SpringerLink
Log in

A Necessary condition for the existence of regular and symmetrical PBIB designs ofT 3 type

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R. C. Bose and W. S. Connor, “Combinatorial properties of group divisible incomplete block designs,”Ann. Math. Statist., 23 (1952), 367–383.

    Article  MathSciNet  MATH  Google Scholar 

  2. S. S. Shrikhande, “The uniqueness of theL 2 association scheme,”Ann. Math. Statist., 30 (1959), 781–789.

    Article  MathSciNet  MATH  Google Scholar 

  3. M. N. Vartak, “The non-existence of certain PBIB designs,”Ann. Math. Statist., 30 (1959), 1051–1062.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Ogawa, “A necessary condition for existence of regular and symmetrical experimental designs of triangular type, with partially balanced incomplete blocks,”Ann. Math. Statist., 30 (1959), 1063–1071.

    Article  MathSciNet  MATH  Google Scholar 

  5. B. W. Jones,The Arithmetic Theory of Quadratic Forms, The Mathematical Association of America, John Wiley & Sons, Inc., 1950.

  6. R. C. Bose and D. M. Mesner, “On linear associative algebras corresponding to association schemes of partially balanced design,”Ann. Math. Statist., 30 (1959), 21–38.

    Article  MathSciNet  MATH  Google Scholar 

  7. L. C. A. Corsten, “Proper space related to triangular partially baranced incomplete block designs,”Ann. Math. Statist., 31 (1960), 498–501.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. Ogawa and G. Ishii, “On the analysis of PBIB designs in the regular case,” to appear in Institute of Statistics of University of North Carolina Mimeograph Series and submitted to the Ann. Math. Statist.

Download references

Authors
  1. Kumaichi Kusumoto
    View author publications

    You can also search for this author in PubMed Google Scholar

About this article

Cite this article

Kusumoto, K. A Necessary condition for the existence of regular and symmetrical PBIB designs ofT 3 type. Ann Inst Stat Math 17, 149–165 (1965). https://doi.org/10.1007/BF02868163

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02868163

Keywords

Search

Navigation