2003, Volume 65, Pt. 3, 671--688

Efficient Control-Test Designs For Diallel Cross Experiments

By

ASHISH DAS, Indian Statistical Institute, New Delhi

SUMMARY. Diallel cross experiments for control versus test comparisons among the lines are studied under a completely randomized design model. A sufficient condition for designs to be $A$- and $MV$-optimal in these experimental situations is derived and it is seen that the class of Type-$S$ designs yield efficient designs to estimate control versus test comparisons. Efficient designs along with their lower bound to the efficiencies are tabulated within a practical range of parameters. The issue of efficient blocking of diallel crosses is also discussed.

AMS (1991) subject classification. 62K05.

Key words and phrases. Type-$S$ design; control versus test comparison; $A$-optimality; inbred lines; efficiency.

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