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. 2018 Nov 5;8:16344. doi: 10.1038/s41598-018-33962-2

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© The Author(s) 2018

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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Propensity-score stratified subgroups. Pre-operative gait features, e.g., Gait Deviation Index (GDI) in the control (light gray) and surgery (dark gray) groups were systematically different, with limbs in the surgery group more severely affected, on average, than limbs in the control group (ALL panel). However, control and surgery limbs with similar propensity scores showed similar pre-operative features (‘Propensity Score Groups’ panels). Numbers in each panel indicate number of limbs displayed in each histogram, dashed lines indicate group medians, and histogram heights are normalized to count in each group.