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. 2019 Sep 16;9:13377. doi: 10.1038/s41598-019-49802-w

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© The Author(s) 2019

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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Correlation coefficients of the control group and four subtypes of paired overlapping genes. Boxplots show the correlation coefficient levels of gene expression associations, which included randomly selected non-overlapping genes (the control group) and paired overlapping gene subtypes. Four subtypes of paired overlapping genes: 5ʹ-tandem overlap subtype; convergent overlap subtype; divergent overlap subtype; and 3ʹ-tandem overlap subtype. Fisher’s z test was used to evaluate the significance of differences between two correlation coefficients in subtypes of paired overlapping protein-coding genes. Comparing with the control group, the convergent and divergent overlapping protein-coding gene groups show significant difference. Among the four subtypes, the convergent and divergent overlapping protein-coding gene groups also showed significant variations.