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Lags, Leave-Outs and Fixed Effects
Working paper   Open access

Lags, Leave-Outs and Fixed Effects

Alexander Chudik, Cameron M. Ellis and Johannes G. Jaspersen
Working paper, Vol.2536
Federal Reserve Bank of Dallas
09/2025
DOI: 10.24149/wp2536
url
https://doi.org/10.24149/wp2536View
Open Access

Abstract

To avoid endogeneity, financial economists often construct regressors and/or instruments using values from other observations, with lagged and leave-out variables being common examples. We examine the use of such variables in common settings with fixed effects and show that it can induce bias and distort inference. We illustrate the severity of this problem via simulations and with patent examiner data. Even when scrambling the patent examiners, thus removing any instrument validity, the bias leads to a first-stage F-statistic over 1,000. General and case-specific solutions are provided.

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