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. 2019 Mar 6;9:3664. doi: 10.1038/s41598-019-40281-7

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© The Author(s) 2019

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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The lines of best fit for two generative models. The models are based on a subjective hazard function which involves probabilistic computations of the elapsed time and the probability of missing the target. The final model (red curves) assumes that attention level at a given moment reflects the probability that a target will appear at that instant or in the near future. Only the final model provides a good fit for the data of both experiments, with reasonable best-fitting parameter values (w = 0.11, μ = 106 ms).