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Some constructions of two-associate class PBIB designs

  • Snigdha Banerjee
  • Sanpei Kageyama
  • Bhagwandas
Article
  • 18 Downloads

Summary

Two-associate class PBIB designs, having association schemes of GD orL2 types, are constructed by using patterned matrices and by methods of taking unions of sets of blocks.

Key words and phrases

BIB design group divisible (GD) semi-regular (SR) self-complementary affine α-resolvable L2 

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References

  1. [1]
    Clatworthy, W. H. (1973).Tables of Two-Associate-Class Partially Balanced Designs, NBS Applied Mathematics Series, No.63.Google Scholar
  2. [2]
    Preece, D. A. (1967). Incomplete block designs withv=2k, Sankhyã, A29, 305–316.MathSciNetzbMATHGoogle Scholar
  3. [3]
    Raghavarao, D. (1971).Constructions and Combinatorial Problems in Design of Experiments, Wiley, New York.zbMATHGoogle Scholar
  4. [4]
    Shrikhande, S. S. and Raghavarao, D. (1963). Affine α-resolvable incomplete block designs,Contributions to Statistics, Pergamon Press, Calcutta, 471–480.Google Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1987

Authors and Affiliations

  • Snigdha Banerjee
    • 1
    • 2
    • 3
  • Sanpei Kageyama
    • 1
    • 2
    • 3
  • Bhagwandas
    • 1
    • 2
    • 3
  1. 1.University of IndoreIndia
  2. 2.Hiroshima UniversityHiroshimaJapan
  3. 3.University of IndoreIndia

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