Skip to main content
SpringerLink
Log in

Construction and combinatorial properties of orthogonal arrays with variable number of symbols in rows

  • Contributed Papers
  • Conference paper
  • First Online:
Combinatorics and Graph Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 885))

  • 1123 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Addleman, Orthogonal main-effect plans for asymmetrical factorial experiments, Technometrics, 4, (1962), 21–46.

    Article  MathSciNet  Google Scholar 

  2. S. Addleman, Symmetrical and asymmetrical fractional plans, Technometrics, 4, (1962), 47–58.

    Article  MathSciNet  Google Scholar 

  3. B. Adhikary, On the properties and construction of balanced block designs with variable replications, Calcutta Stat. Assoc. Bull., 14 (1965), 36–64.

    Article  MathSciNet  MATH  Google Scholar 

  4. B. Adhikary, Group divisible designs with variable replications, Calcutta Stat. Assoc. Bull., 16, (1967), 73–92.

    Article  MathSciNet  MATH  Google Scholar 

  5. K.A. Bush, A generalization of theorem due to Macnish, Ann. Math. Stat., 23, (1952), 293–295.

    Article  MathSciNet  MATH  Google Scholar 

  6. I.M. Chakravorty, Practical replication in asymmetrical factorial designs and partially balanced arrays, Sankhyā, 17, (1956), 143–164.

    Google Scholar 

  7. A. H-upedayat and E. Seiden, F-square and orthogonal F-square designs: A generalisation of latin square and orthogonal latin squares design, Ann. Math. Stat., 41, (1970), 2035–2044.

    Article  MATH  Google Scholar 

  8. R.L. Placket, Some generalisations in the multifactorial design, Biometrika, 33, (1946), 328–334.

    Article  MathSciNet  Google Scholar 

  9. D. Raghavarao, Constructions and Combinatorial Problems in Design of Experiments, John Wiley and Sons, New York, 1971.

    MATH  Google Scholar 

  10. C.R. Rao, Hypercubes of strength “d” leading to confounded designs in factorial experiments, Bull. Cal. Math. Soc., 38 (1946), 67–78.

    MathSciNet  MATH  Google Scholar 

  11. C.R. Rao, Some Combinatorial Problems of Arrays and Applications to Design of Experiments in A Survey of Combinatorial Theory (ed. J.N. Srivastava and others), North Holland Publishing Co., Amsterdam, 1973, pp 349–359.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, Calcutta University, 35, Ballygunge Circular Road, Calcutta, 700 019

    Basudeb Adhikary

  2. Kalyani University, Kalyani, India

    Premadhis Das

Authors
  1. Basudeb Adhikary
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Premadhis Das
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Siddani Bhaskara Rao

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Adhikary, B., Das, P. (1981). Construction and combinatorial properties of orthogonal arrays with variable number of symbols in rows. In: Rao, S.B. (eds) Combinatorics and Graph Theory. Lecture Notes in Mathematics, vol 885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092260

Download citation

  • DOI: https://doi.org/10.1007/BFb0092260

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11151-1

  • Online ISBN: 978-3-540-47037-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation