Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Optimal Block Designs for Complete Diallel Cross

  • Park, Kuey-Chung (Department of Computer Science and Statistics, Chosun University) ;
  • Son, Young-Nam (The Research Institute of Statistics, Chosun University)
  • Published : 2001.04.01
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Abstract

In this paper, optimal block designs for complete diallel crosses are proposed. These optimal block designs are constructed by using triangular partially balanced incomplete designs derived from symmetric balanced incomplete block designs. Also, it is shown that block designs for complete dialle crosses derived from complementary designs of triangular designs are optimal block designs.

Keywords

References

  1. NBS Applied Mathematics Series 63 Tables of Two-Associate-Class Partially Balanced Designs Clatworthy,W.H.
  2. Statistics & Probability Letters v.36 optimal designs for diallel cross experiments Das,A.;Dey,A.;Dean,A.M.
  3. Theory of Block Designs Dey,A.
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  7. Biometrika v.54 Nested balanced incomplete block designs Preece,D.A.
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  9. Constructions and Combinatorial Problems in Design of Experiments Raghavarao,D.