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Triad Census×Blockmodeling×Dyadic Analysis×
FieldSociologySociologySociology
FamilyProcess / pipelineProcess / pipelineRegression model
Year of origin197019761981
OriginatorPaul Holland & Samuel LeinhardtHarrison White, Scott Boorman & Ronald BreigerHolland & Leinhardt (p1); Kenny (Social Relations Model)
TypeEnumeration of the 16 isomorphism classes of directed triadsNetwork partitioning into positions and a reduced role structureAnalysis of the dyad as the unit, decomposing relational effects
Seminal sourceHolland, P. W., & Leinhardt, S. (1970). A method for detecting structure in sociometric data. American Journal of Sociology, 76(3), 492–513. DOI ↗White, H. C., Boorman, S. A., & Breiger, R. L. (1976). Social structure from multiple networks. I. Blockmodels of roles and positions. American Journal of Sociology, 81(4), 730–780. DOI ↗Holland, P. W., & Leinhardt, S. (1981). An exponential family of probability distributions for directed graphs. Journal of the American Statistical Association, 76(373), 33–50. DOI ↗
Aliasestriad count, triadic census, 16-type triad census, MAN triad censusblock modeling, blockmodel analysis, generalized blockmodeling, CONCORdyad analysis, dyadic data analysis, social relations model, dyad census
Related444
SummaryThe triad census counts how many of a directed network's three-actor subgroups fall into each of the 16 possible types of triad, providing a compact fingerprint of the network's local structure. Introduced by Paul Holland and Samuel Leinhardt in 1970, it is the standard way to test structural theories — balance, clustering, transitivity, ranked clusters — by comparing the observed distribution of triad types against what a random network would produce.Blockmodeling is a family of methods that simplify a social network by partitioning its actors into positions — groups of actors who are equivalent in their pattern of ties — and summarizing the relations between positions as a compact image, or reduced role structure. Introduced by Harrison White, Scott Boorman, and Ronald Breiger in 1976, it shifts attention from individuals to the structural roles they occupy.Dyadic analysis treats the dyad — the pair of actors and the relation between them — as the unit of analysis, separating the relational outcome into what each actor brings to all their relationships and what is unique to the specific pair. It spans the descriptive dyad census of network analysis and statistical frameworks such as Holland and Leinhardt's p1 model and Kenny's Social Relations Model, all of which respect the structural non-independence inherent in relational data.
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ScholarGateCompare methods: Triad Census · Blockmodeling · Dyadic Analysis. Retrieved 2026-06-25 from https://scholargate.app/en/compare