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This is due to the shape of the test statistic (Figure 11) versus.
The abundance-area statistic (Figure 6b) follows the data trend (black line) the closest.
In addition, a fourth cluster (mitochondrial) is not fully supported by gap statistic (Figure S2B).
In this study we compared crude agreement and chance adjusted agreement using Fleiss' kappa and the AC1 statistic (Figure 2).
Thus, a high cohesion within and separation among the clusters is observed, which is supported by gap statistic (Figure S2B) and non-parametric ANOVA using Mantel test (P<0.001, r = 0.77).
The exploratory data analysis tool, tree deviation, similarly failed to consistently detect very early rate-shifts, though it was not nearly as sensitive to recent rate shifts as was the γ statistic (Figure 3B).
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The abundance-area statistic (Figures 7b and 8b) shows significant over-prediction of the data trend (black line).
The Moran's I statistic (Figures 6d, 7d, 8d) follows the observed trend relatively well for all time periods.
The abundance-area statistic (Figures 6b, 7b, 8b) shows consistent under-prediction of the observed trend, but also shows consistently higher values than the level 2 trend and is closer to the data than the level 1 trend.
Statistic figures were generated using Postscripts and then converted into images with GD libraries.
A red cross indicates that there is no information to compute the statistic (color figure online).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com