Optimal complete diallel crosses

On the construction and existence of a certain class of complete diallel cross designs

“…The universal optimality of these designs was first established by Gupta and Kageyama (1994) and some methods of constructing these designs were also discussed earlier by, Dey and Midha (1996), Choi and Gupta (2000), and Das and Ghosh (1999). In Section 2, two methods of constructing nested BIB designs with sub-block size two using pairwise balanced designs and strongly equineigboured designs are given.…”

“…The designs considered, compare the inbred lines with respect to their general combining abilities (not the specific combining abilities). For a more detailed discussion on these designs and for further references, see Griffing (1956), Gilbert (1958), Hinkelmann (1975), and Gupta and Kageyama (1994).…”

A-optimal and efficient diallel cross experiments for comparing test treatments with a control

“…1016/j.spl.2004.10.031 abilities. The study of optimal designs for all pairwise comparisons between lines has been receiving considerable attention recently, see e.g., Gupta and Kageyama (1994), Gupta et al (1995), Dey and Midha (1996), Mukerjee (1997), Das et al (1998aDas et al ( , 1998b. Not until Choi et al (2004), the problem of test line versus control comparisons is under investigation.…”

Robustness of a Class of Partial Diallel Cross Designs to the Unavailability of a Complete Block of Observations

“…A diallel cross experiment is said to be a complete diallel cross (CDC) design if all potential crosses occur at least once in the design, even though they need not be replicated the same number of times, see Ghosh & Desai (1999). Optimal CDC designs have been considered by Gupta & Kageyama (1994) using nested balanced incomplete block designs. They provide a table of optimum CDC designs for up to 15 lines using this approach.…”