Classes of block designs and theirs application in the analysis of agricultural experiment organization

  • Authors:
  • Dragan Randjelovic;Cemal Doličanin;Milan Randjelovic

  • Affiliations:
  • Agricultural Faculty, University of Priština, Kosovo and Metohia, Serbia;Agricultural Faculty, University of Priština, Kosovo and Metohia, Serbia;Agricultural Faculty, University of Priština, Kosovo and Metohia, Serbia

  • Venue:
  • ACOS'07 Proceedings of the 6th Conference on WSEAS International Conference on Applied Computer Science - Volume 6
  • Year:
  • 2007

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Abstract

With the design B(v,r_1,...,r_v,b,k_1,...,k_b,λ{12},...,λ{v-1,v}), like one combinatorial configuration, can be presented organization of one experiment in which participate finite number v different elements some basic set V, which should organise in the b designs each with defined number k_i (j=1,...,v) elements from this basic set, but so that every of this elements are exactly in ri (i=1,...,b) designs and every pair of this different elements is in λ{v-1,v} designs. For the case b=(kv) we have so called balanced complete block-designs(BCBDs) and in other cases we have so called balanced incomplete block designs(BIBDs) which are more interesting for their application in determining the possibility of some experiment organization in many science discipline and also in agriculture and also lBIBDs are one of most effective one and more factorial experiment planes. In this paper are considered the conditions of presentation, construction and existence of some classes of BIBDs Because of very complicated prosedure for BIBDs statistical processing authors propose application of data more criterias analysis for anlalysis of experiment results. Three examples of their application in agricultural experiment organization is also given in the end of paper.