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Title: Empirical Decomposition of the IV-OLS Gap with Heterogeneous and Nonlinear Effects

Citation Type: Journal Article

Publication Year: 2022

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Abstract: This study proposes an econometric framework to interpret and empirically decompose the difference between IV and OLS estimates given by a linear regression model when the true causal effects of the treatment are nonlinear in treatment levels and heterogeneous across covariates. I show that the IV-OLS coefficient gap consists of three estimable components: the difference in weights on the covariates, the difference in weights on the treatment levels, and the difference in identified marginal effects that arises from endogeneity bias. Applications of this framework to return-to-schooling estimates demonstrate the empirical relevance of this distinction in properly interpreting the IV-OLS gap.

Url: https://arxiv.org/pdf/2101.04346.pdf

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Authors: Ishimaru, Shoya

Periodical (Full): The Review of Economics and Statistics

Issue: 1

Volume: 45

Pages:

Data Collections: IPUMS USA

Topics: Methodology and Data Collection

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