Skip to main content
SpringerLink
Log in

A note on relations between incomplete block and weighing designs

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

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.

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

Similar content being viewed by others

References

  1. Hotelling, H. (1944). Some improvements in weighing and other experimental techniques,Ann. Math. Statist.,15, 297–305.

    MathSciNet  Google Scholar 

  2. Raghavarao, D. (1970).Constructions and Combinatorial Problems in Design of Experiments, John Wiley and Sons, Inc., New York.

    Google Scholar 

Download references

Author information

Author notes

  1. G. M. Saha

    Present address: Indian Statistical Institute, Calcutta

Authors and Affiliations

  1. Institute of Agricultural Research Statistics, New Delhi

    G. M. Saha

Authors
  1. G. M. Saha
    View author publications

    You can also search for this author in PubMed Google Scholar

About this article

Cite this article

Saha, G.M. A note on relations between incomplete block and weighing designs. Ann Inst Stat Math 27, 387–390 (1975). https://doi.org/10.1007/BF02504658

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02504658

Keywords

Search

Navigation