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. 2023 Aug 19;13:13532. doi: 10.1038/s41598-023-40780-8

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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/.

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The C-index and decision curve analyses were performed to compare the performance between the risk score and the AJCC8th stage. The c-index values of the risk score and AJCC8th stage in training (A) and validation (B) cohorts by using fivefold cross-validation with 200 repeats; The net benefit of the risk model and AJCC8th stage in training (C) and validation (D) cohorts by using decision curve analyses.