Abstract
The literature devoted to the construction of stochastic blockmodels is relatively rare compared to that of the deterministic variety. In this paper, a general definition of a stochastic blockmodel is given and a number of techniques for building such blockmodels are presented. In the statistical approach, the likelihood ratio statistic provides a natural index to evaluate the fit of the model to the data. The model itself consists of a set of actors partitioned into positions with respect to a definition of equivalence, and a representation based on estimated probabilities. The specific statistical model that is used to illustrate the techniques is p1, which was first introduced as a method for stochastic blockmodeling by Fienberg and Wasserman (1981), and developed by Holland et al. (1983) and Wasserman and Anderson (1987).
Original language | English (US) |
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Pages (from-to) | 137-161 |
Number of pages | 25 |
Journal | Social Networks |
Volume | 14 |
Issue number | 1-2 |
DOIs | |
State | Published - 1992 |
ASJC Scopus subject areas
- Anthropology
- Sociology and Political Science
- Social Sciences(all)
- Psychology(all)