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June 2011 A mixed effects model for longitudinal relational and network data, with applications to international trade and conflict
Anton H. Westveld, Peter D. Hoff
Ann. Appl. Stat. 5(2A): 843-872 (June 2011). DOI: 10.1214/10-AOAS403

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).

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Anton H. Westveld. Peter D. Hoff. "A mixed effects model for longitudinal relational and network data, with applications to international trade and conflict." Ann. Appl. Stat. 5 (2A) 843 - 872, June 2011. https://doi.org/10.1214/10-AOAS403

Information

Published: June 2011
First available in Project Euclid: 13 July 2011

zbMATH: 05961694
MathSciNet: MR2840178
Digital Object Identifier: 10.1214/10-AOAS403

Keywords: Bayesian inference , international trade , longitudinal data , militarized interstate disputes , network data , relational data

Rights: Copyright © 2011 Institute of Mathematical Statistics

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Vol.5 • No. 2A • June 2011
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