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Identifying the effect of a mis-classified, binary, endogenous regressor

Francis J. DiTraglia and Camilo Garcia-Jimeno
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Francis J. DiTraglia: Department of Economics University of Oxford
Camilo Garcia-Jimeno: Federal Reserve Bank of Chicago

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Abstract: This paper studies identification of the effect of a mis-classified, binary, endogenous regressor when a discrete-valued instrumental variable is available. We begin by showing that the only existing point identification result for this model is incorrect. We go on to derive the sharp identified set under mean independence assumptions for the instrument and measurement error. The resulting bounds are novel and informative, but fail to point identify the effect of interest. This motivates us to consider alternative and slightly stronger assumptions: we show that adding second and third moment independence assumptions suffices to identify the model.

Date: 2020-11
New Economics Papers: this item is included in nep-ecm
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Published in Journal of Econometrics, Volume 209, Issue 2, April 2019, Pages 376-390

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