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. 2024 Aug 5;14:18120. doi: 10.1038/s41598-024-68454-z

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© The Author(s) 2024

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, 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 you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. 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-nc-nd/4.0/.

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Weight changes during program. Plots summarize distributions in study cohort of 4 different weight statistics by program week (horizontal axis): A Cohort weight in pounds (LBS); B Percent relative weight difference compared to baseline (calculated as 100*[weight-baseline]/baseline); C Percent relative weight difference compared to NIH-BWP estimate (Eq. 1); D Percent relative weight difference compared to model estimate (Table 2). All plots summarize statistics using Tukey plots in which the box’s middle, lower end, and upper end indicate the median, 25th percentile, and 75th percentile, respectively, and the whiskers extend 1.5 times the interquartile range (i.e. length of box) from each end of the box. The mean and standard deviation is indicated by the diamond in each box plot.