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A Robust Test for Weak Instruments with Multiple Endogenous Regressors

Lewis, Daniel J; Mertens, Karel; (2022) A Robust Test for Weak Instruments with Multiple Endogenous Regressors. Federal Reserve Bank of Dallas: Dallas, TX, USA.

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Abstract

We extend the popular bias-based test of Stock and Yogo (2005) for instrument strength in linear instrumental variables regressions with multiple endogenous regressors to be robust to heteroskedasticity and autocorrelation. Equivalently, we extend the robust test of Montiel Olea and Pflueger (2013) for one endogenous regressor to the general case with multiple endogenous regressors. We describe a simple procedure for applied researchers to conduct our generalized first-stage test of instrument strength and provide efficient and easy-to-use Matlab code for its implementation. We demonstrate our testing procedures by considering the estimation of the state-dependent effects of fiscal policy as in Ramey and Zubairy (2018)

Type: Working / discussion paper
Title: A Robust Test for Weak Instruments with Multiple Endogenous Regressors
DOI: 10.24149/wp2208
Publisher version: https://doi.org/10.24149/wp2208
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Instrumental Variables, Weak Instruments Test, Multiple Endogenous Regressors, Heteroskedasticity, Serial Correlation
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS > Dept of Economics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10160495
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