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Multivariate Entropy Analysis of Network Data

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2016

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Frank, Ove

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https://doi.org/10.1177/0759106315615511
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Bulletin of Sociological Methodology. Sage Publications. 2016, 129(1), pp. 45-63. ISSN 0759-1063. eISSN 2070-2779. Available under: doi: 10.1177/0759106315615511

Zusammenfassung

Multigraphs with numerical or qualitative attributes defined on vertices and edges can benefit from systematic methods based on multivariate entropies for describing and analysing the interdependencies that are present between vertex and edge attributes. This is here illustrated by application of these tools to a subset of data on the social relations among Renaissance Florentine families collected by John Padgett. Using multivariate entropies we show how it is possible to systematically check for tendencies in data that can be described as independencies or conditional independencies, or as dependencies allowing certain combinations of variables to predict other variables. We also show how different structural models can be tested by divergence measures obtained from the multivariate entropies.

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Fachgebiet (DDC)
004 Informatik

Schlagwörter

Entropie statistique, Indépendance, Association, Prévision, Dépendance fonctionnelle, Testes de divergence, Analyse des réseaux sociaux Statistical Entropy, Independence, Association, Prediction, Functional Dependence, Divergence Tests, Social Network Analysis

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ISO 690FRANK, Ove, Termeh SHAFIE, 2016. Multivariate Entropy Analysis of Network Data. In: Bulletin of Sociological Methodology. Sage Publications. 2016, 129(1), pp. 45-63. ISSN 0759-1063. eISSN 2070-2779. Available under: doi: 10.1177/0759106315615511
BibTex
@article{Frank2016Multi-57317,
  year={2016},
  doi={10.1177/0759106315615511},
  title={Multivariate Entropy Analysis of Network Data},
  number={1},
  volume={129},
  issn={0759-1063},
  journal={Bulletin of Sociological Methodology},
  pages={45--63},
  author={Frank, Ove and Shafie, Termeh}
}
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