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Two-mode networks

Two-mode networks. Kaibin He. Outline. Data structure Visualization Quantitative Analysis Qualitative Analysis. Rectangular data array. Two-mode to One-mode. Data>Affiliations

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Two-mode networks

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  1. Two-mode networks Kaibin He

  2. Outline • Data structure • Visualization • Quantitative Analysis • Qualitative Analysis

  3. Rectangular data array

  4. 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

  5. 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.

  6. Bipartite • The matrix is formed by adding the rows as additional columns, and columns as additional rows. Transform>Bipartite

  7. Visualization • Netdraw>File>UCINET dataset>2-Mode Network • Use scaling method to locate the points • Example: Zhou, Yuan, Wang (2013)

  8. 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

  9. SVD • Singular Values • RCScores • Row Scores • Column Scores • Scatter Plot • Example

  10. Factor Analysis • Eigenvalues • Loadings • Scatter plot • Example

  11. Correspondence analysis • Row/Column Scores • Scatter plot • Example

  12. 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

  13. 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

  14. Two-mode factions analysis • Factions are groupings that have high density within the group, and low density of ties between groups. • Example

  15. Recommended paper The Quest for Content: How User-Generated Links Can Facilitate Online Exploration JACOB GOLDENBERG, GAL OESTREICHER-SINGER, and SHACHAR REICHMAN JMR, 2012

  16. Is social network important to e-business?

  17. product pages linked by hyperlinks & user generated links

  18. conclusion This dual-network structure in facilitating content exploration.

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