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) |
|---|---|
| Pages (from-to) | 137-161 |
| Number of pages | 25 |
| Journal | Social Networks |
| Volume | 14 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Jan 1 1992 |
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ASJC Scopus subject areas
- Anthropology
- Sociology and Political Science
- Social Sciences(all)
- Psychology(all)
Cite this
Building stochastic blockmodels. / Anderson, Carolyn Jane; Wasserman, Stanley; Faust, Katherine.
In: Social Networks, Vol. 14, No. 1-2, 01.01.1992, p. 137-161.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Building stochastic blockmodels
AU - Anderson, Carolyn Jane
AU - Wasserman, Stanley
AU - Faust, Katherine
PY - 1992/1/1
Y1 - 1992/1/1
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=0011552132&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0011552132&partnerID=8YFLogxK
U2 - 10.1016/0378-8733(92)90017-2
DO - 10.1016/0378-8733(92)90017-2
M3 - Article
AN - SCOPUS:0011552132
VL - 14
SP - 137
EP - 161
JO - Social Networks
JF - Social Networks
SN - 0378-8733
IS - 1-2
ER -