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. 2019 Apr 3;6(4):181055. doi: 10.1098/rsos.181055

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© 2019 The Authors.

Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.

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Figure 5. — Illustrative example of how K varies in relation to the resolution measured for Y and X, depending on the shape of the pattern encoded. The figures and all the calculations were derived from a simulated dataset, in which the pattern linking explanandum to explanans was assumed to have noise with uniform distribution, as described in the top-left plot of each panel. Black line: entropies and K values calculated by maximum-likelihood method (i.e. counting frequencies in each bin). Red line: entropies and K values calculated using the ‘shrink’ method described in [18] (the R code used to generate the figures is provided in electronic supplementary material). Note how the value of K and its rescaled version H(Y)K have a unique maximum.