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Reasoning about Interference Between Units: A General Framework

Published online by Cambridge University Press:  04 January 2017

Jake Bowers ,
Mark M. Fredrickson  and
Costas Panagopoulos
Jake Bowers*
Affiliation:
Department of Political Science, University of Illinois, Urbana-Champaign, Urbana, IL
Mark M. Fredrickson
Affiliation:
University of Illinois, Urbana-Champaign, Urbana, IL
Costas Panagopoulos
Affiliation:
Department of Political Science, Fordham University, New York City, NY
*
e-mail: [email protected] (corresponding author)
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Abstract

If an experimental treatment is experienced by both treated and control group units, tests of hypotheses about causal effects may be difficult to conceptualize, let alone execute. In this article, we show how counterfactual causal models may be written and tested when theories suggest spillover or other network-based interference among experimental units. We show that the “no interference” assumption need not constrain scholars who have interesting questions about interference. We offer researchers the ability to model theories about how treatment given to some units may come to influence outcomes for other units. We further show how to test hypotheses about these causal effects, and we provide tools to enable researchers to assess the operating characteristics of their tests given their own models, designs, test statistics, and data. The conceptual and methodological framework we develop here is particularly applicable to social networks, but may be usefully deployed whenever a researcher wonders about interference between units. Interference between units need not be an untestable assumption; instead, interference is an opportunity to ask meaningful questions about theoretically interesting phenomena.

Type
Regular Articles
Information
Political Analysis , Volume 21 , Issue 1 , Winter 2013 , pp. 97 - 124
Copyright
Copyright © The Author 2013. Published by Oxford University Press on behalf of the Society for Political Methodology 

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Footnotes

Authors' note: Thanks are due to the participants in the Student-Faculty Workshop in the Department of Political Science at the University of Illinois at Urbana-Champaign, at the Experiments in Governance and Politics Workshop at MIT (EGAP-6), our panel at MPSA 2012, SLAMM 2012, and Polmeth 2012. We especially appreciate the in-depth comments provided by Peter Aronow, John Freeman, Matthew Hayes, Luke Keele, Cyrus Samii, Cara Wong, and the anonymous reviewers.

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