A mixed effects model for longitudinal relational and network data, with applications to international trade and conflict

Anton H. Westveld, Peter D. Hoff

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)

Abstract

The focus of this paper is an approach to the modeling of longitudinal social network or relational data. Such data arise from measurements on pairs of objects or actors made at regular temporal intervals, resulting in a social network for each point in time. In this article we represent the network and temporal dependencies with a random effects model, resulting in a stochastic process defined by a set of stationary covariance matrices. Our approach builds upon the social relations models of Warner, Kenny and Stoto [Journal of Personality and Social Psychology 37 (1979) 1742-1757] and Gill and Swartz [Canad. J. Statist. 29 (2001) 321-331] and allows for an intra- and inter-temporal representation of network structures. We apply the methodology to two longitudinal data sets: international trade (continuous response) and militarized interstate disputes (binary response).

Original languageEnglish
Pages (from-to)843-872
Number of pages30
JournalAnnals of Applied Statistics
Volume5
Issue number2 A
DOIs
Publication statusPublished - Jun 2011
Externally publishedYes

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