Orthogonal arrays of strength five

  • Bodh Raj Gulati


Treatment Combination Orthogonal Array High Order Interaction Independent Interaction Lower Order Interaction 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    BOSE, R.C. (1947).Mathematical theory of symmetrical factorial designs. Sankhya. 8, 107–166.MATHMathSciNetGoogle Scholar
  2. [2]
    BOSE, R.C. and BUSH, K,A. (1952).Orthogonal arrays of strength two and three. Ann. Math. Statist., 23, 508–524.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    BLUM, J.R., SCHATZ, J.A., and SEIDEN, E. (1970).On two levels of orthogonal arrays of odd index. Jour. Comb. Theory, Vol. 9, No 3, p 239–243.MATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    BUSH, K.A. (1952).Orthogonal arrays of index unity. Ann. Math, Statist., 23, 424–434.Google Scholar
  5. [5]
    CARMICHAEL, R.D. (1937).Introduction to Theory of Groups of Finite Order. Dover Publications, New York.Google Scholar
  6. [6]
    DAS M.N. (1964).A somewhat alternative approach for construction of symmetrical factorial designs. Calcutta Stat. Ass., 13, 1–17.MATHGoogle Scholar
  7. [7]
    FISHER, R.A. (1944).The theory of confounding in factorial experiments in relation to theory of groups. Annals of Eugenics, 11, 341–353.Google Scholar
  8. [8]
    FISHER, R.A. (1945).A system of confounding for factors with more than two alternatives giving completely orthogonal cubes and higher powers. Annals of Eugenics, 12, 283–290.Google Scholar
  9. [9]
    GULATI, B.R. (1969).On Packing Problems and its Applications. Unpublished thesis. The University of Connecticut.Google Scholar
  10. [10]
    GULATI, B.R. (1971).On maximal (k,t)—sets. Ann. Statist. Math., 23(2), 279–292.MATHCrossRefMathSciNetGoogle Scholar
  11. [11]
    HOTELLING, H. (1942).Some improvements in weinghting and other experimental techniques. Ann. Math. Statist., 15, 297–306.CrossRefMathSciNetGoogle Scholar
  12. [12]
    PLACKETT, R.L. and BURMAN, J.P. (1943-46).The designs of optimum multifactorial experiments. Biometrika, 33, 305–325.CrossRefGoogle Scholar
  13. [13]
    RAO, C.R. (1947).Factorial experiments derivable from combinatorial arrangements of arrays. J. Royal Stat. Soc. Supp., 9, 128–139.CrossRefGoogle Scholar
  14. [14]
    SEIDEN, E. (1964).On the maximum number of points no four on one plane in projective space PG(r — 1, 2). Tech. Rep. RM-117, Michigan State University.Google Scholar
  15. [15]
    SEIDEN, E and ZEMACH R. (1966).On orthogonal arrays. Ann. Math. Statist., 37, 1355–1370.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 1971

Authors and Affiliations

  • Bodh Raj Gulati
    • 1
  1. 1.Southern Connecticut State CollegeUSA

Personalised recommendations