The Statistical Analysis of Local Structure in Social Networks

Paul W. Holland and Samuel Leinhardt

No 44, NBER Working Papers from National Bureau of Economic Research, Inc

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.

Date: 1974-06
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