Skip to main content
Log in

On construction and uses of balancedn-ary designs

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

Summary

Methods of construction of balancedn-ary designs using difference sets have been studied in this paper. Some properties of balancedn-ary designs are studied. Use of balanced ternary designs has been made to construct some efficient weighing designs.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bose, R. C. (1939). On the construction of balanced incomplete block designs,Ann. Eugenics,9, 353–399.

    MATH  MathSciNet  Google Scholar 

  2. Dey, A. (1970). Construction of balancedn-ary block designs,Ann. Inst. Statist. Math.,22, 389–393.

    MATH  MathSciNet  Google Scholar 

  3. Murty, J. S. and Das, M. N. (1968). Construction of balancedn-ary block designs and their uses,Jour. Ind. Statist. Assoc.,5.

  4. Raghavarao, D. (1959). Some optimum weighing designs,Ann. Math. Statist.,30, 295–303.

    MATH  MathSciNet  Google Scholar 

  5. Sprott, D. A. (1954). A note on balanced incomplete block designs,Canadian Jour. Math.,6, 341–346.

    MATH  MathSciNet  Google Scholar 

  6. Sprott, D. A. (1955). Some series of partially balanced incomplete block designs,Canadian Jour. Math.,7, 369–381.

    MATH  MathSciNet  Google Scholar 

  7. Tocher, K. D. (1952). Design and analysis of block experiments,Jour. Roy. Statist. Soc. B,14, 45–100.

    MATH  MathSciNet  Google Scholar 

Download references

Authors

Additional information

Institute of Agricultural Research Statistics

About this article

Cite this article

Saha, G.M., Dey, A. On construction and uses of balancedn-ary designs. Ann Inst Stat Math 25, 439–445 (1973). https://doi.org/10.1007/BF02479388

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02479388

Keywords

Navigation