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OLS and IV estimation of regression models including endogenous interaction terms
Journal article   Open access   Peer reviewed

OLS and IV estimation of regression models including endogenous interaction terms

Maurice J. G. Bun and Teresa D. Harrison
Econometric reviews, v 38(7), pp 814-827
09 Aug 2019
url
https://doi.org/10.1080/07474938.2018.1427486View
Published, Version of Record (VoR)Maybe Open Access (Publisher Bronze) Open

Abstract

Business Economics Mathematical Models Mathematics Physical Sciences Social Sciences Technology
We analyze a class of linear regression models including interactions of endogenous regressors and exogenous covariates. We show how to generate instrumental variables using the nonlinear functional form of the structural equation when traditional excluded instruments are unknown. We propose to use these instruments with identification robust IV inference. We furthermore show that, whenever functional form identification is not valid, the ordinary least squares (OLS) estimator of the coefficient of the interaction term is consistent and standard OLS inference applies. Using our alternative empirical methods we confirm recent empirical findings on the nonlinear causal relation between financial development and economic growth.

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This publication has contributed to the advancement of the following goals:

#1 No Poverty
#8 Decent Work and Economic Growth
#9 Industry, Innovation and Infrastructure
#10 Reduced Inequalities

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Economics
Mathematics, Interdisciplinary Applications
Social Sciences, Mathematical Methods
Statistics & Probability
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