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This difference between the Centrality and Variability condition was statistically significant (Χ 2 (1, N = 100) = 4.59, p = 0.032).
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The area under the curve (AUC) for each ROC was computed for each centrality metric and compared in all subjects using multiple pairwise t-tests with Bonferoni correction to test for differences between the centrality metrics.
We used Fisher's Exact Test (Fisher 1970) to measure the significance level of the differences in performances between the centrality methods and the baseline method.
In general, there was a weak difference in the centrality scores between the genes of selection and nonselection.
For the KEGG 3+DB signalling pathways network betweenness centrality – a measure of the difference between the node with the highest betweenness centrality (the node on the most shortest paths) to all other nodes in the network – we did see a small trend towards pathway networks having lower betweenness centrality (p<0.0001 (WNT pathway) to p<0.837 (VEGF pathway).
The difference between the latter and the betweenness centrality we have been using so far is that it considers contributions from all paths in the network, not only the shortest, although the latter still counts for more.
However, the plots also indicate the enormous sensitivity of the degree centrality to the threshold level, as significant differences in the centrality values are observed between different thresholds.
The network-centrality measures of the GAP's, GeneMANIA's, and STRING's graphs displayed in Figure 7, are 16.08, 6.16, and 6.08 respectively, where p-value<1.10E-08 using Wilcoxon rank sum test to assess the significance of the difference between the distributions of the degree centrality of the autism genes at GAP's network as compared to the other two methods.
But this measure does not account for differences in the centrality of one's friends.
The difference between the two groups was only in these gestures, emphasizing centrality and variability.
It is key to note here that although leverage is derived from degree centrality, there is a distinct difference between the two.
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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