Optimal Triangular Partially Balanced Incomplete Block Designs for Complete Diallel Cross

Abstract

It is well known that complete diallel cross system IV and triangular partially balanced incomplete block designs have one to one correspondence. In the present paper,  we have identified some triangular partially balanced incomplete block designs which generates two types of optimal incomplete block designs for complete diallel cross system IV.(i)The first type is with minimal number of experimental units in proper and non-proper setting for estimating the general combining  ability (gca) effects of lines (ii)the second types  is with minimum  number of experimental units in proper setting for estimating general combining  ability (gca) ) effects of lines in presences of specific combining ability (sca)

Keywords: Triangular partially balanced incomplete block design, complete diallel cross, General combining ability, of Specific combining ability, optimality

DOI: 10.7176/JAAS/68-03

Publication date:September 30^th 2020