Sankhya: The Indian Journal of Statistics

1998, Volume 60, Series B, Pt. 3, 511--524

ON OPTIMALITY OF SOME PARTIAL DIALLEL CROSS DESIGNS

By

ASHISH DAS Indian Statistical Institute, New Delhi ,
ANGELA M. DEAN The Ohio State University, Columbus
and
SUDHIR GUPTA Northern Illinois University, Dekalb

SUMMARY. Various forms of diallel crosses play an important role in evaluating the breeding potential of genetic material in plant and animal breeding. In this paper we consider partial diallel crosses in incomplete block or completely randomized designs. Optimal designs in both the unblocked and blocked situations are characterized. Two methods of construction of MS-optimal designs are proposed leading to design families which have very high A- and D-efficiencies

AMS (1991) subject classification. 62K05 .

Key words and phrases. Diallel cross design, block design, MS-optimality, A-efficiency, D-efficiency.

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