A construction of balanced arrays of strengtht and some related incomplete block designs

  • G. M. Saha
  • B. K. Samanta


Saha [6] has shown the equivalence between a ‘tactical system’ (or at-design) and a 2-symbol balanced array (BA) of strengtht. The implicit method of construction of BA in that paper has been generalized herein to that of ans-symbol BA of strengtht. Some BIB and PBIB designs are also constructed from these arrays. Majindar [2], Vanstone [8] and Saha [6] have all shown that the existence of a symmetrical BIBD forv treatments implies the existence of six more BIBD's forv treatments in (v/2) blocks. An analogue of this result has been obtained for a large class of PBIB designs in this paper.

Key words and phrases

Balanced array balanced incomplete block design partially balanced incomplete block design dual of an incomplete block design 


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Copyright information

© Kluwer Academic Publishers 1985

Authors and Affiliations

  • G. M. Saha
    • 1
    • 2
  • B. K. Samanta
    • 1
    • 2
  1. 1.Indian Statistical InstituteIndia
  2. 2.Jute Agricultural Research InstituteIndia

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