Abstract
I t 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
Highlights
Diallel crossing is a very useful method for conducting plant and animal breeding experiments, especially for estimating combining ability effects of lines
Optimal block designs for Complete Diallel Crosses (CDC) have been considered by Gupta and Kageyama (1994), Dey and Midha (1996), Das et al (1998), Parsadet al(1999), Sharma (2004), Parsadet al(2005) and Sharma and Fanta (2010) by using nested incomplete (NBIB) designs, triangular PBIB design nested balanced block(NBB) designs circular designs and PBIB designs for the cas where the model includes general combining ability(gca) effects apart from block effects but no specific combing ability effects
Chai and Mukerjee(1999) considered the case when sca effects are present in the model and showed that the triangular designs thar=t are proved to be optimal for gcs comparison by Dey and Midha(1996) and Das.et al(1998) remain optimal for gca comparison even sca effects are presents in the model
Summary
Diallel crossing is a very useful method for conducting plant and animal breeding experiments, especially for estimating combining ability effects of lines. The objective of the present paper is to identify triangular designs which can be used to construct optimal incomplete block designs for CDC with Minimum number of experimental units from catalogue of Clatworthy (1973) and not listed by Dey and Midha (1996), Parsad and Gupta (2004), Das.et al (1998) and Sharma and Fanta (2010) In this investigation we have identified some TPBIB design which can generate optimal incomplete block designs for CDC experiments in proper and non proper settings with minimal number of experimental units for estimating the general combining ability (gca) effects of lines and can generate optimal incomplete block designs for CDC experiment in proper settings for estimating the gca of lines in presence of specific combing ability. To the block effects and gca, the model include sca
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