Volume : IV, Issue : V, May - 2014
Construction of Three Associate Class PBIB Designs using Method of Juxtapositions
Davinder Kumar Garg, Gurinder Pal Singh
Abstract :
Two Series of three associate class Partially Balanced Incomplete Block (PBIB) Designs using a method of juxtaposing some association matrices are constructed in this paper. The designs used as base designs are four associate class PBIB designs with fixed replications, but in new series there is no restriction on the parameters of PBIB designs. New series are constructed by juxtaposing some association matrices of a series of four associate class PBIB designs of partial geometry (r,k,t) with finite graphs. Association schemes of both the series, P– matrices of the association scheme, efficiencies factors along with overall efficiency factor and illustrations of both the series have also been given in this paper
Keywords :
Partially balanced incomplete block designs juxtaposing association matrices partial geometry finite graph
Article:
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DOI : 10.36106/ijar
Cite This Article:
Davinder Kumar Garg, Gurinder Pal Singh Construction of Three Associate Class PBIB Designs using Method of Juxtapositions Indian Journal of Applied Research, Volume.4, Issue.5, May-2014
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Davinder Kumar Garg, Gurinder Pal Singh Construction of Three Associate Class PBIB Designs using Method of Juxtapositions Indian Journal of Applied Research, Volume.4, Issue.5, May-2014
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