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The average heritability on a line mean basis for the nine carotenoid compounds and the 15 sums, ratios, and proportions was 0.80, with a range from 0.98 for the ratio of β-branch to α-branch carotenoids to 0.25 for α-carotene.
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Broad-sense heritabilities on a family-mean basis for each cycle were mostly moderate to high (Table 3).
The average heritability on a line-mean basis for the six tocochromanol compounds and their fourteen derivative traits was 0.90, with a range of 0.78 to 0.96 (Table 1).
The 'prediction accuracy' estimates the correlation (r (g, g ^ ) ) between the predicted (g ^ ) and unobserved true genetic values (g) and was calculated by r (g, g ^ ) = r (y, y ^ ) / h where h is the square root of the heritability on a line-mean basis for the agronomic traits.
For each model, the correlations between observed and predicted trait values were standardized by dividing the average correlation estimates across the five folds by the square root of the heritability on a line mean basis estimated for that trait in the 201 lines.
The heritability (H) on an entry mean basis was 0.76 for dent and 0.64 for flint.
Heritability on an entry mean basis was calculated for the phenotyped and genotyped inbred lines according to [ 63] for unbalanced breeding trials.
For the agronomic traits, his the heritability on a line-mean basis and for the metabolites, the repeatability is shown.
The high estimates of line-mean basis heritability for the six compounds and their thirteen derivative traits imply that QTL are predominantly responsible for this tremendous range of phenotypic variation.
We used the heritability on an entry-mean basis estimated for the full population, because this estimate possesses a lower standard error compared to the heritability estimated in the training population.
We estimated line mean-basis heritabilities for each environment individually, across the North Carolina environments, across the Galicia environments, and we also estimated line mean-basis heritability for the combined data set across all environments.
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