Generation mean analysis in azuki bean using matrix algebra method

Six basic populations including P 1 , P 2 , F 1 , F 2 , BC 1 and BC 2 developed from three crosses of azuki bean; Hondawase x Akatsukidainagon (H x A), Hondawase x Erimo (H x E) and Akatsukidainagon x Erimo (A x E) were planted for generation mean analysis study at Pangda Royal Agricultural Station in Chiang Mai during August to December, 2006. Generation mean of these three azuki bean crosses were analysed by using matrix algebra method. Results of study indicated that matrix algebra method was able to analyse generation mean and obtained all six parameters of gene action; m, [d], [h], [i], [j] and [l] for seed yield per plant. The values of matrix algebra method for analysing generation mean were convenient efficient and simply applied to use with some softwares. It is anticipated that this matrix algebra method would be an effective way to identify the gene action parameters which these parameters will provide important basic informations for yield improvement in plants.