NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

The Statistical Analysis of Local Structure in Social Networks

Paul W. Holland, Samuel Leinhardt

NBER Working Paper No. 44
Issued in June 1974

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.

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Document Object Identifier (DOI): 10.3386/w0044

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