146 Pages Posted: 29 Feb 2016 Last revised: 13 Feb 2017
Date Written: February 13, 2017
Multiplicative interaction models are widely used in social science to test whether the relationship between an outcome and an independent variable changes with a moderating variable. Current empirical practice overlooks two important problems. First, these models assume a linear interaction effect that changes at a constant rate with the moderator. Second, reliably estimating the conditional effects of the independent variable at all values of the moderator requires sufficient common support. Replicating 46 interaction effects from 22 recent publications in five top political science journals, we find that these core assumptions fail in a majority of cases, suggesting that a large portion of findings across all subfields based on interaction models are modeling artifacts or are at best highly model dependent. We propose simple diagnostics to assess the validity of these assumptions and offer flexible estimation strategies that allow for nonlinear interaction effects and safeguard against excessive extrapolation.
Keywords: interaction effects, regression models, conditional hypothesis
JEL Classification: C10, C14
Suggested Citation: Suggested Citation
Hainmueller, Jens and Mummolo, Jonathan and Xu, Yiqing, How Much Should We Trust Estimates from Multiplicative Interaction Models? Simple Tools to Improve Empirical Practice (February 13, 2017). Available at SSRN: https://ssrn.com/abstract=2739221 or http://dx.doi.org/10.2139/ssrn.2739221