Polygonal Association Scheme and PBIB(3) Designs in Two Replicates
2025
Seema Jaggi | Cini Varghese | Ashutosh Dalal
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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