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. 2023 Aug 29;23:605. doi: 10.1186/s12903-023-03328-w

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© The Author(s) 2023

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 licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence 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 licence, visit http://creativecommons.org/licenses/by/4.0/. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.

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Fig. 3 — Correlation heatmap of craniofacial morphology, upper airway and craniocervical posture in adolescent (a) and adult (b) patients. Positive correlation is represented by red ellipses, while negative correlation is represented by blue ellipses, with a deeper hue indicating a stronger correlation. Specifically, the darker the red, the closer the r is to 1, and the darker the blue, the closer the r is to − 1. Similarly, the ellipse's size also fluctuates as a result of variations in the correlation. The closer the r is to 1 (red) or − 1 (blue), the closer the ellipse is to a line, whereas the closer the r is to 0, the closer the ellipse is to a perfect circle. Correlations with significant differences are highlighted in the figure. (*: p < 0.05; **: p < 0.01;)