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Regular group divisible designs and Bhaskar Rao designs with block size three

Journal Article


Abstract


  • Some recursive constructions are given for Bhaskar Rao designs. Using examples of these designs found by Shyam J. Singh, Rakesh Vyas and new ones given here we show the necessary conditions λ≡0 (mod 2), λυ(υ-1)≡0 (mod 24) are sufficient for the existence of Bhaskar Rao designs with one association class and block size 3. This result is used with a result of Street and Rodger to obtain regular partially balanced block designs with 2υ treatments, block size 3, λ1=0, group size 2 and υ groups. © 1984.

Publication Date


  • 1984

Citation


  • Seberry, J. (1984). Regular group divisible designs and Bhaskar Rao designs with block size three. Journal of Statistical Planning and Inference, 10(1), 69-82. doi:10.1016/0378-3758(84)90033-8

Scopus Eid


  • 2-s2.0-0002780844

Web Of Science Accession Number


Start Page


  • 69

End Page


  • 82

Volume


  • 10

Issue


  • 1

Abstract


  • Some recursive constructions are given for Bhaskar Rao designs. Using examples of these designs found by Shyam J. Singh, Rakesh Vyas and new ones given here we show the necessary conditions λ≡0 (mod 2), λυ(υ-1)≡0 (mod 24) are sufficient for the existence of Bhaskar Rao designs with one association class and block size 3. This result is used with a result of Street and Rodger to obtain regular partially balanced block designs with 2υ treatments, block size 3, λ1=0, group size 2 and υ groups. © 1984.

Publication Date


  • 1984

Citation


  • Seberry, J. (1984). Regular group divisible designs and Bhaskar Rao designs with block size three. Journal of Statistical Planning and Inference, 10(1), 69-82. doi:10.1016/0378-3758(84)90033-8

Scopus Eid


  • 2-s2.0-0002780844

Web Of Science Accession Number


Start Page


  • 69

End Page


  • 82

Volume


  • 10

Issue


  • 1