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A reinterpretation of interactions in regressions



Regression specifications in applied econometrics frequently employ regressors, which are defined as the product of two other regressors to form an interaction. Unfortunately, the interpretation of the results of these models is not as straight forward as in the linear case. In this article, we present a method for drawing inferences for interaction models by defining the partial influence (PI) function. We present an example that demonstrates how one may draw new inferences by constructing the confidence intervals for the PI functions based on the traditional published findings for regressions with interaction terms.

Suggested Citation

  • J. Hirschberg & J. Lye, 2010. "A reinterpretation of interactions in regressions," Applied Economics Letters, Taylor & Francis Journals, vol. 17(5), pages 427-430.
  • Handle: RePEc:taf:apeclt:v:17:y:2010:i:5:p:427-430 DOI: 10.1080/13504850701842843

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    References listed on IDEAS

    1. Wo[ss]mann, Ludger & West, Martin, 2006. "Class-size effects in school systems around the world: Evidence from between-grade variation in TIMSS," European Economic Review, Elsevier, vol. 50(3), pages 695-736, April.
    2. Joshua D. Angrist & Victor Lavy, 1999. "Using Maimonides' Rule to Estimate the Effect of Class Size on Scholastic Achievement," The Quarterly Journal of Economics, Oxford University Press, vol. 114(2), pages 533-575.
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    Cited by:

    1. Adolfo Barajas & Ralph Chami & Seyed Reza Yousefi, 2016. "The Finance and Growth Nexus Re-Examined: Do All Countries Benefit Equally?," Journal of Banking and Financial Economics, University of Warsaw, Faculty of Management, vol. 1(5), pages 5-38, June.
    2. Archontakis, Fragiskos & Varsakelis, Nikos C., 2017. "Patenting abroad: Evidence from OECD countries," Technological Forecasting and Social Change, Elsevier, vol. 116(C), pages 62-69.
    3. Barajas, Adolfo & Catalán, Mario, 2015. "Market discipline and conflicts of interest between banks and pension funds," Journal of Financial Intermediation, Elsevier, vol. 24(3), pages 411-440.
    4. Kleoniki Kalapouti & Nikos Varsakelis, 2015. "Intra and inter: regional knowledge spillovers in European Union," The Journal of Technology Transfer, Springer, vol. 40(5), pages 760-781, October.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation


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