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A chi-square trend test revealed significant differences of the beta value distribution between all eight groups (on autosomes) and the total CpGs on the array.
There was some evidence of a difference in Ct value distribution between electron microscopy positive IID cases in these two age groups (rank sum test p = 0.036), with the median in children aged less than five years at Ct value 23 and at Ct value 25 for older children and adults (Table 2).
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More advanced methods attempt to match data-set specific parameters of the expression value distributions between input sets.
The significantly different correlation value distributions between directly and indirectly linked metabolites barely provide a good quantification of the actual discrimination accuracy of this feature.
Specifically, we required minimally a three-fold difference of signals between lowest and highest expression values, in addition to the demonstrated difference in signal value distributions between nonaggressive and aggressive cases.
Hence, separation of feature value distributions between the samples from different states will be relatively clearer, and thus classification accuracy as a measure of feature set's discriminatory power can be biased.
To compare the performance of our integrative pyramid analysis to that of traditional GWAS, we compared the p-value distribution between these analytic approaches.
The 95th percentile of the LD r values distribution between non-syntenic markers was used as a threshold to distinguish the LD mostly attributable to linkage from the background LD caused by population structure [ 75].
To obtain a voxel set that objectively fully contains the lung for comparison of the dark-field CT gray-value distributions between the mice, the threshold-based segmentations (optimized for visual appearance) were strongly dilated, so that a volume that comprises lung and partly surrounding non-scattering soft tissue was achieved.
Peaks in the Ks value distribution of orthologs between closely related species often indicates speciation events [ 19], and this approach has been successfully used in the inference of such events [ 20].
Since the type2 H probe value distribution is sandwiched between the U and M probe distributions, we can use an empirical approach to normalize these values, thus also bypassing the difficulty that type2 H probe values are not well described by a beta distribution (Supplementary Fig. S1).
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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