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. 2021 Nov 9;11:21972. doi: 10.1038/s41598-021-01466-1

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© The Author(s) 2021

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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Strategic sophistication across clusters, phases and treatments. Participants were clustered in three groups through a mixture models cluster analysis on the proportion of level-2 choices in the Assessment phase (Low-sophistication, Medium-sophistication and High-sophistication). For each cluster, we plot the proportion of level-2 choices by phase Assessment, Observation and Re-assessment) and treatment (No-feedback, Pre-feedback, Post-feedback). Error bars represent standard errors. In the Medium-sophistication cluster, we show an effect of social learning (Re-assessment–Assessment) in the Post-feedback treatment but not in the Pre-feedback treatment.