Polygonal Association Scheme and PBIB(3) Designs in Two Replicates
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Authors
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Seema Jaggi
Indian Council of Agricultural Research, New Delhi
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Cini Varghese
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
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Ashutosh Dalal
ICAR-Indian Agricultural Statistics Research Institute, New Delhi
Keywords:
Association scheme; Efficiency; Partially balanced incomplete block design; Resolvable; Three associate class.Abstract
Partially Balanced Incomplete Block (PBIB) designs are a well-known class of incomplete block designs useful in agricultural research which are based on concept of association schemes. Here, a three-associate class polygonal association scheme has been defined. A method of constructing PBIB(3) designs based on polygonal association scheme has been described. The designs obtained by this method require only two replications and hence reduce the requirement of experimental material. Further, the efficiency of these designs has also been worked out and is found to be quite high.
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References
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