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	<title>Statistical Analysis of Networks - Revision history</title>
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	<updated>2026-06-19T11:38:37Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://charlesreid1.com/w/index.php?title=Statistical_Analysis_of_Networks&amp;diff=9228&amp;oldid=prev</id>
		<title>Admin: Created page with &quot;=Statistics and Analysis of Networks=  Descriptive statistics for networks: 2/3 of all work done in this area  Different from standard statistical descriptions  ==Network Char...&quot;</title>
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		<updated>2016-02-01T03:22:44Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;=Statistics and Analysis of Networks=  Descriptive statistics for networks: 2/3 of all work done in this area  Different from standard statistical descriptions  ==Network Char...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;=Statistics and Analysis of Networks=&lt;br /&gt;
&lt;br /&gt;
Descriptive statistics for networks: 2/3 of all work done in this area&lt;br /&gt;
&lt;br /&gt;
Different from standard statistical descriptions&lt;br /&gt;
&lt;br /&gt;
==Network Characterization==&lt;br /&gt;
&lt;br /&gt;
Social dynamics: patterns of edges among vertex triples&lt;br /&gt;
&lt;br /&gt;
Routes of movement of information: shortest path between vertices&lt;br /&gt;
&lt;br /&gt;
Importance of vertices: centrality&lt;br /&gt;
&lt;br /&gt;
Groups/communities via graph partitioning&lt;br /&gt;
&lt;br /&gt;
==Structural Analysis==&lt;br /&gt;
&lt;br /&gt;
Social network analysis&lt;br /&gt;
&lt;br /&gt;
Math and computer science&lt;br /&gt;
&lt;br /&gt;
Statistical physics&lt;br /&gt;
&lt;br /&gt;
Many tools:&lt;br /&gt;
* characterize vertices and edges&lt;br /&gt;
* characterhize network cohesion&lt;br /&gt;
&lt;br /&gt;
Examples:&lt;br /&gt;
* degree distribution&lt;br /&gt;
* vertex/edge centrality&lt;br /&gt;
* role/positional analysis&lt;br /&gt;
&lt;br /&gt;
==Vertex Centrality==&lt;br /&gt;
&lt;br /&gt;
centrality measures can capture vertex importance&lt;br /&gt;
&lt;br /&gt;
==Coarser Scales==&lt;br /&gt;
&lt;br /&gt;
Beyond the individual vertices and edges, increasing scales can tell you abou tcohesion of a network&lt;br /&gt;
&lt;br /&gt;
Cohesion notions:&lt;br /&gt;
* clustering&lt;br /&gt;
* density&lt;br /&gt;
* connectivity&lt;br /&gt;
* flow&lt;br /&gt;
* partitioning&lt;br /&gt;
&lt;br /&gt;
==Network sampling==&lt;br /&gt;
&lt;br /&gt;
List of examples characteristics:&lt;br /&gt;
* degree exponent&lt;br /&gt;
* average path length&lt;br /&gt;
* betweenness&lt;br /&gt;
* assortativity&lt;br /&gt;
* clustering coefficient&lt;br /&gt;
&lt;br /&gt;
sampling designs and biases&lt;br /&gt;
&lt;br /&gt;
==Network inference==&lt;br /&gt;
&lt;br /&gt;
predict edge wstatus for all potential edges with missing information&lt;br /&gt;
&lt;br /&gt;
==Further topics==&lt;br /&gt;
&lt;br /&gt;
Uncertainty in graphs, summary statistics, under noisy conditions&lt;br /&gt;
&lt;br /&gt;
asymptotics for paramter estimation in network models&lt;br /&gt;
&lt;br /&gt;
Estimation of degree distribution from sampled data&lt;br /&gt;
&lt;br /&gt;
bayesian latent factor network perturbation&lt;br /&gt;
&lt;br /&gt;
multi-attribute networks&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Scapy]]&lt;br /&gt;
[[Category:Networks]]&lt;br /&gt;
&lt;br /&gt;
{{ScapyFlag}}&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
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