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. 2021 Jun 29;22:420. doi: 10.1186/s13063-021-05354-x

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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/. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.

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Fig. 2 — Ratios of one-sample estimators divided by gold-standard AJE. A Accepting the all event definition of CEs as gold-standard, the ratios of one-sample estimator divided by gold-standard AJE are displayed. Two different evaluation times are displayed. The left boxplots are the results for the estimators being evaluated at the 90% quantile and the right boxplots are the results of the evaluation time with no restriction, i.e., at the end of follow-up. The following abbreviations are used for the estimators: incidence proportion (IP), probability transform of the incidence density ignoring CE (prob trans incid dens ignoring CE), one minus Kaplan-Meier (1-KM), probability transform of the incidence density accounting for CE (prob trans incid dens acc for CE), death only AJE (AJE death only). B Plots of the kernel density estimates of the ratios of the AE probability of the estimators divided by the gold-standard AJE