Transitivity and the path census in sociometry
Bibliographic Data
| ID | 9743735 |
|---|---|
| Authors | Meir Fershtman (Tel Aviv University, corresponding author) |
| Year | 1985 |
| Volume | 11 |
| Issue | 2 |
| Pages | 159-189 |
| Publication date | 1985-02-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Journal of Mathematical Sociology (JOURNAL) |
| Journal identifiers | ISSN: 0022-250X • E-ISSN: 1545-5874 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1080/0022250x.1985.9989987 |
| OpenAlex | W2014235203 |
| Language | EN |
| Citations received | 6 |
| References cited | 11 |
This paper develops a method for calculating the tendency towards transitivity while keeping constant the number of choices which are made by each member of the group (Un(XI+) distribution) or the number of times each member is chosen (UN (X+J) distribution). Such a calculation was suggested by Wasserman, who used the triad census developed by Holland and Leinhardt. This work presents a simpler way. This is accomplished by developing a path census and two supplementary functions. Our technique can be used to calculate the mean and variance of other quantities, such as mutuality and intransitivity. In order to enable researchers to use this technique, we present explicitly the mean and variance of the path census
Census · Combinatorics · Econometrics · Economics · Path (computing · Population · Sociology · Sociometry · Statistics · Transitive relation · Variance (accounting · Complex Network Analysis Techniques · Computer Science · Demography · Mathematics · Opinion Dynamics and Social Influence · Psychology · Social Media and Politics · Social Psychology
Enumeration and Simulation Methods for 0–1 Matrices with Given Marginals
Extensions of triad counts to networks with different subsets of points and testing underlying random graph distributions
Matrix methods for calculating the triad census
Triad count estimation in digraphs
Testing Transitivity in Digraphs
Birds of a feather, or friend of a friend? using exponential random graph models to investigate adolescent social networks
Transitivity in Structural Models of Small Groups
Transitivity in Structural Models of Small Groups
Attitudes and Cognitive Organization
An Analysis of Intransitivity in Sociometric Data
The structural implications of measurement error in sociometry
Random directed graph distributions and the triad census in social networks
Local Structure in Social Networks
Models of Network Structure
A Method for Detecting Structure in Sociometric Data
| Unique citing works | 6 |
|---|---|
| Citations per year | 0.15 |
| Citation span | 1987 - 2009 (23) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 6 |