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A reinterpretation of interactions in regressions

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Abstract

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.

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  • 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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    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.
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    5. J.G. Hirschberg & J. N. Lye, 2007. "Providing Intuition to the Fieller Method with Two Geometric Representations using STATA and Eviews," Department of Economics - Working Papers Series 992, The University of Melbourne.
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    3. 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.
    4. 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.

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    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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