A Latent Space Network Model for Social Influence.

Tracy Sweet, Samrachana Adhikari
Author Information
  1. Tracy Sweet: Department of Human Development and Quantitative Methodology, University of Maryland, College Park, USA. tsweet@umd.edu. ORCID
  2. Samrachana Adhikari: Department of Population Health, New York University School of Medicine, New York, USA.

Abstract

Social network data represent interactions and relationships among groups of individuals. One aspect of social interaction is social influence, the idea that beliefs or behaviors change as a result of one's social network. The purpose of this article is to introduce a new model for social influence, the latent space model for influence, which employs latent space positions so that individuals are affected most by those who are "closest" to them in the latent space. We describe this model along with some of the contexts in which it can be used and explore the operating characteristics using a series of simulation studies. We conclude with an example of teacher advice-seeking networks to show that changes in beliefs about teaching mathematics may be attributed to network influence.

Keywords

MeSH Term

Bayes Theorem
Computer Simulation
Humans
Latent Class Analysis
Leadership
Peer Influence
Power, Psychological
Psychometrics
Social Interaction
Social Network Analysis

Word Cloud

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