Inference on local average treatment effects for misclassified treatment. (English) Zbl 1490.62492
Summary: We develop point-identification for the local average treatment effect when the binary treatment contains a measurement error. The standard instrumental variable estimator is inconsistent for the parameter since the measurement error is nonclassical by construction. We correct the problem by identifying the distribution of the measurement error based on the use of an exogenous variable that can even be a binary covariate. The moment conditions derived from the identification lead to generalized method of moments estimation with asymptotically valid inferences. Monte Carlo simulations and an empirical illustration demonstrate the usefulness of the proposed procedure.
MSC:
| 62P20 | Applications of statistics to economics |
| 62G08 | Nonparametric regression and quantile regression |
Keywords:
causal inference; instrumental variable; misclassification; non-differential measurement error; nonparametric identificationReferences:
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