TY - JOUR AU - Holland,Paul W. AU - Leinhardt,Samuel TI - The Statistical Analysis of Local Structure in Social Networks JF - National Bureau of Economic Research Working Paper Series VL - No. 44 PY - 1974 Y2 - June 1974 UR - http://www.nber.org/papers/w0044 L1 - http://www.nber.org/papers/w0044.pdf AB - 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. ER -