Artikel

Estimating nonseparable models with mismeasured endogenous variables

We study the identification and estimation of covariate-conditioned average marginal effects of endogenous regressors in nonseparable structural systems when the regressors are mismeasured. We control for the endogeneity by making use of covariates as control variables; this ensures conditional independence between the endogenous causes of interest and other unobservable drivers of the dependent variable. Moreover, we recover distributions of the underlying true causes from their error-laden measurements to deliver consistent estimators. We obtain uniform convergence rates and asymptotic normality for estimators of covariate-conditioned average marginal effects, faster convergence rates for estimators of their weighted averages over instruments, and root-n consistency and asymptotic normality for estimators of their weighted averages over control variables and regressors. We investigate their finite-sample behavior using Monte Carlo simulation and apply new methods to study the impact of family income on child achievement measured by math and reading scores, using a matched mother–child subsample of the National Longitudinal Survey of Youth. Our findings suggest that these effects are considerably larger than previously recognized, and depend on parental abilities and family income. This underscores the importance of measurement errors, endogeneity of family income, nonlinearity of income effects, and interactions between causes of child achievement.

Sprache
Englisch

Erschienen in
Journal: Quantitative Economics ; ISSN: 1759-7331 ; Volume: 6 ; Year: 2015 ; Issue: 3 ; Pages: 749-794 ; New Haven, CT: The Econometric Society

Klassifikation
Wirtschaft
Thema
Causal effects
child development
endogeneity
measurement error
nonparametric estimation
nonseparable

Ereignis
Geistige Schöpfung
(wer)
Song, Suyong
Schennach, Susanne M.
White, Halbert
Ereignis
Veröffentlichung
(wer)
The Econometric Society
(wo)
New Haven, CT
(wann)
2015

DOI
doi:10.3982/QE275
Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Song, Suyong
  • Schennach, Susanne M.
  • White, Halbert
  • The Econometric Society

Entstanden

  • 2015

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