Holland, Paul W.

The Statistical Analysis of Local Structure in Social Networks / Paul W. Holland, Samuel Leinhardt. - Cambridge, Mass. National Bureau of Economic Research 1974. - 1 online resource: illustrations (black and white); - NBER working paper series no. w0044 . - Working Paper Series (National Bureau of Economic Research) no. w0044. .

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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