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      이면교배에 있어서 행-열 계획에 관한 연구 = A Study on Row-Column Designs in Diallel Crosses

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      https://www.riss.kr/link?id=A40005545

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      다국어 초록 (Multilingual Abstract)

      Diallel crosses as mating designs are used to study the genetic properties of inbred lines in plant breeding experiments. Suppose there are p inbred lines and let a cross between lines i and j be denoted by (i,j), i<j=1,2,…,p. Let n_(c) denote th...

      Diallel crosses as mating designs are used to study the genetic properties of inbred lines in plant breeding experiments. Suppose there are p inbred lines and let a cross between lines i and j be denoted by (i,j), i<j=1,2,…,p. Let n_(c) denote the total number of distinct crosses in the experiment. Our interest lines in comparing the parents with respect to their general combining ability(gca) parameters. The complete diallel cross involves all possible crosses among the p parental lines with n_(c)=p(p-1)/2. Sometimes p tends to be large resulting in a large number of crosses. and it becomes impractical to carry out even one replication of the diallel cross. In such situations a partial diallel cross may be used for carrying out the experiment.
      Diallel crosses in completely randomized designs have been discussed by several authors, e.g. Kempthorne and Currow(1961). Singh and Hinkelmann(1990). Optimal block designs for complete diallel crosses have been considered by Gupta and Kageyama(1994), Dey and Midha(1996), and Das, Dey and Dean(1998). Singh and Hinkelmann(1995) gave efficient block designs for partial diallel crosses using partially balanced incomplete block designs. Orthogonal blocking of partial diallel crosses was considered by Gupta, Das and Kageyama(1995).
      In the paper we consider complete diallel cross experiments in which two sources of nuisance variability are to be controlled. Row-column designs provide a general class of designs for controlling heterogeneity in the experimental material in two directions. Universally optimal row-column designs for complete diallel crosses are investigated.

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