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

Francis J. DiTraglia, Camilo Garcia-Jimeno

arXiv 14 Nov 2020 · Econometrics · publishedJournal of Econometrics (2019) · 23 citations (OpenAlex)

arXiv:2011.07272 · PDF · DOI · OpenAlex · Extracted main text

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.

Citation extraction

32
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Frazis, H., Loewenstein, M. A (2003) Estimating linear regressions with mismeasured, possibly endogenous, binary explanatory variables0.87452100%
2Mahajan, A (2006) Identification and estimation of regression models with misclassification0.79424350%
3Black, D. A., Berger, M. C., Scott, F. A (2000) Bounding parameter estimates with nonclassical measurement error0.73732100%
4Kane, T. J., Rouse, C. E., Staiger, D., July (1999) Estimating returns to schooling when schooling is misreported0.73732100%
5Lewbel, A., March (2007) a0.73732100%
6Battistin, E., Nadai, M. D., Sianesi, B (2014) Misreported schooling, multiple measures and returns to educational qualifications0.64422100%
7DiTraglia, F. J., García-Jimeno, C (2017) Mis-classified, binary, endogenous regressors: Identification and inference self0.64422100%
8Hu, Y (2008) Identification and estimation of nonlinear models with misclassification error using instrumental variables: A general solution0.64422100%
9Ura, T (2018) Heterogeneous treatment effects with mismeasured endogenous treatment0.5112250%
10Bound, J., Brown, C., Mathiowetz, N (2001) Measurement error in survey data0.51121100%

Showing the top 10 of 32 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1A Framework for Eliciting, Incorporating, and Disciplining Identification Beliefs in Linear Models0.84333
2Local Average and Marginal Treatment Effects with a Misclassified Treatment0.64422
3Difference-in-Differences with a Misclassified Treatment0.64422
4Partial Identification of Binary Choice Models with Misreported Outcomes0.64422