Journal ArticleDOI
An Exponential Family of Probability Distributions for Directed Graphs
Paul W. Holland,Samuel Leinhardt +1 more
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An exponential family of distributions that can be used for analyzing directed graph data is described, and several special cases are discussed along with some possible substantive interpretations.Abstract:
Directed graph (or digraph) data arise in many fields, especially in contemporary research on structures of social relationships. We describe an exponential family of distributions that can be used for analyzing such data. A substantive rationale for the general model is presented, and several special cases are discussed along with some possible substantive interpretations. A computational algorithm based on iterative scaling procedures for use in fitting data is described, as are the results of a pilot simulation study. An example using previously reported empirical data is worked out in detail. An extension to multiple relationship data is discussed briefly.read more
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The Structure and Function of Complex Networks
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Local computations with probabilities on graphical structures and their application to expert systems
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Latent Space Approaches to Social Network Analysis
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References
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A Set of Measures of Centrality Based on Betweenness
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Testing statistical hypotheses
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analysis of binary data
David Cox,E. J. Snell +1 more
TL;DR: Binary response variables special logistical analyses some complications some related approaches more complex responses.