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A test of the selection on observables assumption using a discontinuously distributed covariate

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  • Khalil, Umair
  • Yıldız, Neşe

Abstract

We present a test of the selection on observables assumption that neither requires instruments nor excluded covariates from the structural function. Instead, we rely on the presence of a discontinuously distributed variable among the set of controls. We develop formal testing procedures for a non-parametric additively separable model for binary and finite treatment variables. We also outline a nonparametric nonseparable extension. Our test is easy to implement and should be useful in many empirical settings. Specifically, we employ it to study selection concerns in the estimation of the impact of a nutritional aid program for pregnant women on birth weight.

Suggested Citation

  • Khalil, Umair & Yıldız, Neşe, 2022. "A test of the selection on observables assumption using a discontinuously distributed covariate," Journal of Econometrics, Elsevier, vol. 226(2), pages 423-450.
    • Handle: RePEc:eee:econom:v:226:y:2022:i:2:p:423-450
    DOI: 10.1016/j.jeconom.2021.09.018
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    More about this item

    Keywords

    Selection on observables; Testing; Partial effects; Essential heterogeneity;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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