Partial Diallel Crosses in Incomplete Blocks
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Murari Singh, K Hinkelmann. (1/12/1995). Partial Diallel Crosses in Incomplete Blocks. Biometrics, 51 (4), pp. 1302-1314.
Various forms of diallel crosses play an important role in evaluating the breeding potential of genetic material in plant and animal breeding (e.g., Hinkelmann, 1975, in A Survey of Statistical Design and Linear Models, 243-269. Amsterdam: North Holland). In this paper we consider the use of partial diallel crosses in incomplete block designs as environment designs. We discuss in detail a particular method of constructing such combined mating-environment designs by relating both component designs to certain types of partially balanced incomplete block designs. This method is compared with a generally applicable method of embedding partial diallel crosses in existing incomplete block designs as environment designs.