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. 2020 May 18;10:8165. doi: 10.1038/s41598-020-65164-0

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Violin plots of allelic effects of five SNPs associated with husk traits. In a violin plot, the inner red box represents the interquartile range. The central white dot represents the median value. The outer gray shape on each side represents all measured data points and the thickness represents the probability density of the data. The P-values of the two allelic effects of the four husk traits [Husk Length (HL), Husk layer Number (HN), Husk Thickness (HT), Husk Width (HW)] are exhibited above each small plot. *Significant at P ≤ 0.05; **Significant at P ≤ 0.01; ***Significant at P ≤ 0.001.