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Two-mode networks Kaibin He

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**Outline Data structure Visualization Quantitative Analysis**

Qualitative Analysis

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**Rectangular data array**

1 2 3 A B 1 2 3 A B

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Two-mode to One-mode Data>Affiliations Cross-product(binary data) : multiplies each of A's scores by the corresponding score for B, and then sums across the columns A B 1 2 3 1 2 3 A B 1 2 3

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Two-mode to One-mode Minimums (valued data): examines the entries of A and B for campaign 1, and selects the lowest score (zero). It then does this for the other campaigns and sums. A B 1 2 3 1 2 3 A B 1 2 3

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Bipartite The matrix is formed by adding the rows as additional columns, and columns as additional rows. Transform>Bipartite A B 1 2 3 1 2 3 A B

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**Visualization Netdraw>File>UCINET dataset>2-Mode Network**

Use scaling method to locate the points Example: Zhou, Yuan, Wang (2013)

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**Quantitative analysis**

Identify underlying dimensions of the joint space of actor-by-event. Two-mode SVD analysis. (valued data)Tools>Scaling/Decomposition>SVD Two-mode factor analysis. (valued data)Tools>Scaling/Decomposition>Factor Analysis Two-mode correspondence analysis. (binary data)Tools>Scaling/Decomposition>Correspondence

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**SVD Singular Values RCScores Row Scores Column Scores Scatter Plot**

Example

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Factor Analysis Eigenvalues Loadings Scatter plot Example

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**Correspondence analysis**

Row/Column Scores Scatter plot Example

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**Qualitative analysis Block models Two-mode core-periphery analysis.**

Network>2-Mode>Categorical Core>Periphery Two-mode factions analysis Network>2-Mode>2-Mode Factions

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**Two-mode core-periphery analysis**

The "core" is a cluster of frequently co-occurring actors and events. The "periphery" consists of a partition of actors who are not co-incident to the same events. 0 means bad fit, 1 means excellent fit. Ideal density matrix 1 2

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**Two-mode factions analysis**

Factions are groupings that have high density within the group, and low density of ties between groups. Example

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**Recommended paper The Quest for Content: How User-Generated**

Links Can Facilitate Online Exploration JACOB GOLDENBERG, GAL OESTREICHER-SINGER, and SHACHAR REICHMAN JMR, 2012

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**Is social network important to e-business?**

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**product pages linked by hyperlinks & user generated links**

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conclusion This dual-network structure in facilitating content exploration.

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2.3 Modeling Real World Data with Matrices

2.3 Modeling Real World Data with Matrices

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