Bayesian Analysis of Multilevel Probit Models for Data With Friendship Dependencies

Abstract

When studying educational aspirations of adolescents, it is unrealistic to assume that the aspirations of pupils are independent of those of their friends. Considerable attention has also been given to the study of peer influence in the educational and behavioral literature. Typically, in empirical studies, the friendship networks have either been reduced to some summary measure or, when the complexity of the social structure has been used to its full extent, the studies have been limited to single networks, thereby effectively neglecting the context of the studied network. The authors propose a multilevel probit model with correlated responses and a Markov chain Monte Carlo-based inference ..