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. 2024 Aug 12;14:18677. doi: 10.1038/s41598-024-66311-7

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© The Author(s) 2024

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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False identification rates (FIR_s1k) for 8 sets of SNP–SNP interaction clusters based on 3pRule and 1000 runs. Each set had 3 clusters with a hub SNP with various significance levels, such as C1_H, C1_M, and C1_L for C1 SNP with a high, medium, and low significance level, respectively. Sample size: 20 K (n = 20,000), 10 K (n = 10,000), and 5 K (n = 5000).