Type of Publication:  Journal article 
URI (citable link):  http://nbnresolving.de/urn:nbn:de:bsz:352259920 
Author:  Lerner, Jürgen; Indlekofer, Natalie; Nick, Bobo; Brandes, Ulrik 
Year of publication:  2013 
Published in:  Journal of Mathematical Psychology ; 57 (2013), 6.  pp. 275283.  ISSN 00222496.  eISSN 10960880 
DOI (citable link):  https://dx.doi.org/10.1016/j.jmp.2012.03.002 
Summary: 
Given a longitudinal network observed at time points t1<⋯<tT, tie changes that happen in the interval (th,th+1) typically depend on the networks at t1,…,th. In this article we deal with the question whether changes within one interval mutually depend on each other or whether they are conditionally independent, given the previously observed networks. Answering this question for given data is of high practical relevance since, if the conditional independence assumption is valid, network dynamics can be modeled with simple and computationally efficient statistical techniques for independent observations. Consequently, we propose a framework to systematically compare conditional independence models with more general models that are specifically designed for social network data. Our results suggest that conditional independence models are inappropriate as a general model for network evolution and can lead to distorted substantive findings on structural network effects, such as transitivity. On the other hand, the conditional independence assumption becomes less severe when interobservation times are relatively short.

Subject (DDC):  004 Computer Science 
Link to License:  In Copyright 
Bibliography of Konstanz:  Yes 
LERNER, Jürgen, Natalie INDLEKOFER, Bobo NICK, Ulrik BRANDES, 2013. Conditional Independence in Dynamic Networks. In: Journal of Mathematical Psychology. 57(6), pp. 275283. ISSN 00222496. eISSN 10960880. Available under: doi: 10.1016/j.jmp.2012.03.002
@article{Lerner2013Condi25992, title={Conditional Independence in Dynamic Networks}, year={2013}, doi={10.1016/j.jmp.2012.03.002}, number={6}, volume={57}, issn={00222496}, journal={Journal of Mathematical Psychology}, pages={275283}, author={Lerner, Jürgen and Indlekofer, Natalie and Nick, Bobo and Brandes, Ulrik} }
Lerner_259920.pdf  308 