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It is readily seen that by rearranging the rows and columns of D according to environments within traits, we obtain a matrix D* which is block-diagonal with t blocks D k ∗ = { δ k i j }, of size q × q.
Therefore, we analyzed the effects of strains on heritability estimates and parental effects with randomized block analyses of variance (ANOVAs) and the significance of differences among heritability estimates according to environments was analyzed using two-way ANOVAs including strain, rearing environment, and strain × rearing environment interaction as factors.
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