The Statistical Analysis of Local Structure in Social Networks
63 Pages Posted: 5 Jan 2007 Last revised: 17 Aug 2022
Date Written: June 1974
Abstract
We introduce the concept of a triad census of a digraph arid show how it can be used to enumerate various types of subgraph configurations. We give the basic probabilities needed for computing means and variances for a triad census under the U-MAN distribution for digraphs. These concepts are combined to provide a way of testing propositions about social structure using sociometric data. An application to 408 sociograms is given.
Suggested Citation: Suggested Citation
Holland, Paul W. and Leinhardt, Samuel, The Statistical Analysis of Local Structure in Social Networks (June 1974). NBER Working Paper No. w0044, Available at SSRN: https://ssrn.com/abstract=259354
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