Estimating Selection Models Without Instrument with Stata

Working Paper: NBER ID: w25823

Authors: Xavier Dhaultfoeuille; Arnaud Maurel; Xiaoyun Qiu; Yichong Zhang

Abstract: This article presents the eqregsel command for implementing the estimation and bootstrap inference of sample selection models via extremal quantile regression. The command estimates a semiparametric sample selection model without instrument or large support regressor, and outputs the point estimates of the homogenous linear coefficients, their bootstrap standard errors, as well as the p-value for a specification test.

Keywords: eqregsel; sample selection models; extremal quantile regressions

JEL Codes: C21; C24; C87; J31


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
eqregsel command (C22)estimates parameters of sample selection models (C24)
eqregsel command (C22)provides point estimates of homogeneous linear coefficients (C51)
eqregsel command (C22)provides bootstrap standard errors and p-values for specification tests (C51)
eqregsel command (C22)yields a more accurate estimation of the wage gap (J79)
traditional OLS regression (C29)underestimates the differential due to selection bias (C20)
robustness check (C52)does not reject the model at standard significance levels (C52)
black-white wage gaps (J31)widening from 119 to 159 log points (C46)

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