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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 123 A010 B A010 B121

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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 123 A010 B AB

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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 A010 B121 AB

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Bipartite The matrix is formed by adding the rows as additional columns, and columns as additional rows. Transform>Bipartite 123 A010 B101 AB123 A00010 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

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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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