Identifying statistical methods that provide greater experimental precision in the selection of biofortified common bean lines is an unprecedented practice, according to the literature. The present study was thus conducted to examine the experimental precision of mineral concentration in experiments with common bean by employing different statistical methods and to identify more precise methods to select mineral-biofortified common bean lines. Twenty-two experiments were carried out between 2004 and 2018 evaluating 682 common bean genotypes of the grain types most widely consumed in Brazil. The concentrations of potassium, phosphorus, calcium, iron, zinc and copper were determined by nitric-perchloric acid digestion, and the experimental precision of those traits was analyzed by eight statistical methods. For most experiments, a significant genotype effect was observed for mineral concentration, allowing the selection of biofortified common bean lines. The coefficient of experimental variation and significant minimum difference exhibited low and intermediate values, i.e., showed greater experimental precision, including the experiments in which the genotype mean square was not significant. Because these methods may result in error in genotypic differentiation, they are not adequate to evaluate the experimental precision of mineral concentration in common bean. In most experiments where the genotype effect was significant for the mineral concentration, high scores (greater experimental precision) were obtained in the F-test value for genotype, coefficient of genetic variation, coefficient of relative variation, heritability and selective accuracy. These statistical methods allow the selection of biofortified common bean lines with greater experimental precision and are thus recommended for breeding programs.

中文翻译：

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更精确选择生物强化普通豆系的统计方法

根据文献，确定能够在选择生物强化普通豆系时提供更高实验精度的统计方法是一种前所未有的做法。因此，本研究旨在通过采用不同的统计方法来检查普通豆实验中矿物质浓度的实验精度，并确定更精确的方法来选择矿物质生物强化的普通豆品系。2004 年至 2018 年期间进行了 22 项实验，评估了巴西消费最广泛的谷物类型的 682 种常见豆类基因型。采用硝酸-高氯酸消解法测定钾、磷、钙、铁、锌和铜的浓度，并通过八种统计方法分析这些性状的实验精密度。对于大多数实验，观察到矿物质浓度的显着基因型效应，允许选择生物强化的普通豆系。实验变异系数和显着最小差值呈现低值和中间值，即表现出更高的实验精度，包括基因型均方不显着的实验。由于这些方法可能导致基因型分化的错误，它们不足以评估普通豆中矿物质浓度的实验精度。在大多数矿物质浓度的基因型效应显着的实验中，在基因型、遗传变异系数、相对变异系数、遗传力和选择准确度的 F 检验值中获得了高分（更高的实验精度）。