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modularity value #10

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mar-iana opened this issue Jun 25, 2018 · 1 comment
Open

modularity value #10

mar-iana opened this issue Jun 25, 2018 · 1 comment

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@mar-iana
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Hellow,
I want to know if the the modularity value of the modularity computed by the function netcarto (the second element of the output) is the z-score of the modularity or if its the raw value.

thanks

@alaindanet
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alaindanet commented Feb 15, 2019

Hello,

it seems from the documentation of netcarto that the modularity value is the raw value.

Value
A list. The first element is a dataframe with the name, module, z-score, and participation coefficient for each row of the input matrix. The second element is the modularity of this partition

The z-score is an attribute of the node, evaluating how well a given node is connected to the other nodes of its module. From (Guimerà & Nunes Amaral, 2005):

Within-module degree and participation coefficient
Each module can be organized in very different ways, ranging from totally centralized—with one or a few nodes connected to all the others—to totally decentralized, with all nodes having similar connectivities. Nodes with similar roles are expected to have similar relative within-module connectivity. If κ i is the number of links of node i to other nodes in its module s i , κ¯ s i is the average of κ over all the nodes in s i , and σ κ s i is the standard deviation of κ in s i , then: is the so-called z-score. The within-module degree z-score measures how well-connected node i is to other nodes in the module.

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