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. 2022 May 19;12:8458. doi: 10.1038/s41598-022-12457-1

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© The Author(s) 2022

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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Distribution of tumor fraction estimation. p0 Pos-neg vs. Pos-pos, p1 Pos-neg vs. Pos-pos Stage I, p2 Pos-neg vs. Pos-pos Stage II, p3 Pos-pos Stage I vs. Pos-pos Stage II. p-value: Student t-test, Pos-Neg Positive–negative subjects, Pos-Pos Positive-positive subjects.