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A note on relations between incomplete block and weighing designs

  • G. M. Saha
Article

Summary

Existence of a balanced incomplete block (BIB) design satisfyingb<=4(r-γ) is shown to imply the existence of an optimum chemical balance weighing design forv objects in 4(r-γ) weighings. It is also shown that the existence of an affine-resolvable BIB design with the parametersv, b, r, k and γ, havingb=2r, implies the existence of an optimum chemical balance weighing design forr objects inv weighings.

Keywords

Orthogonal Array SAHA Incidence Matrix Chemical Balance Indian Statistical Institute 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Hotelling, H. (1944). Some improvements in weighing and other experimental techniques,Ann. Math. Statist.,15, 297–305.MathSciNetGoogle Scholar
  2. [2]
    Raghavarao, D. (1970).Constructions and Combinatorial Problems in Design of Experiments, John Wiley and Sons, Inc., New York.Google Scholar

Copyright information

© The Institute of Statistical Mathematics 1975

Authors and Affiliations

  • G. M. Saha
    • 1
  1. 1.Institute of Agricultural Research StatisticsNew Delhi

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