c ○ 2004 The Review of Economic Studies Limited Endogeneity in Semiparametric Binary Response Models

This paper develops and implements semiparametric methods for estimating binary response (binary choice) models with continuous endogenous regressors. It extends existing results on semiparametric estimation in single index binary response models to the case of endogenous regressors. It develops a control function approach to account for endogeneity in triangular and fully simulataneous binary response models. The proposed estimation method is applied to estimate the income effect in a labor market participation problem using a large micro data set from the British FES. The semiparametric estimator is found to perform well, detecting a significant attenuation bias. The proposed estimator is contrasted to the corresponding Probit and Linear Probability specifications. JEL: C14, C25, C35, J22.

[1]  C. Manski.  MAXIMUM SCORE ESTIMATION OF THE STOCHASTIC UTILITY MODEL OF CHOICE , 1975 .

[2]  J. Heckman.  Dummy Endogenous Variables in a Simultaneous Equation System , 1977 .

[3]  Takeshi Amemiya,et al.  The Estimation of a Simultaneous Equation Generalized Probit Model , 1978 .

[4]  C. Manski.  Semiparametric analysis of discrete response: Asymptotic properties of the maximum score estimator , 1985 .

[5]  B. Silverman.  Density estimation for statistics and data analysis , 1986 .

[6]  Richard Blundell,et al.  An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply , 1986 .

[7]  P. Robinson.  ROOT-N-CONSISTENT SEMIPARAMETRIC REGRESSION , 1988 .

[8]  Richard Blundell,et al.  Estimation in a class of simultaneous equation limited dependent variable models , 1989 .

[9]  Thomas M. Stoker,et al.  Semiparametric Estimation of Index Coefficients , 1989 .

[10]  J. Stock.  Nonparametric Policy Analysis , 1989 .

[11]  W. Härdle.  Applied Nonparametric Regression , 1991 .

[12]  W. Newey,et al.  Kernel Estimation of Partial Means and a General Variance Estimator , 1994, Econometric Theory.

[13]  R. Spady,et al.  AN EFFICIENT SEMIPARAMETRIC ESTIMATOR FOR BINARY RESPONSE MODELS , 1993 .

[14]  H. Ichimura,et al.  SEMIPARAMETRIC LEAST SQUARES (SLS) AND WEIGHTED SLS ESTIMATION OF SINGLE-INDEX MODELS , 1993 .

[15]  J. Powell,et al.  Semiparametric estimation of censored selection models with a nonparametric selection mechanism , 1993 .

[16]  Richard Blundell,et al.  Coherency and estimation in simultaneous models with censored or qualitative dependent variables , 1994 .

[17]  Dag Tjøstheim,et al.  Nonparametric Identification of Nonlinear Time Series: Projections , 1994 .

[18]  Hyungtaik Ahn.  Nonparametric two-stage estimation of conditional choice probabilities in a binary choice model under uncertainty , 1995 .

[19]  O. Linton,et al.  A kernel method of estimating structured nonparametric regression based on marginal integration , 1995 .

[20]  A. Lewbel,et al.  Nonparametric Censored Regression , 1998 .

[21]  W. Newey,et al.  Nonparametric estimation of triangular simultaneous equations models , 1999 .

[22]  Thomas M. Stoker,et al.  Interpreting aggregate wage growth , 1999 .

[23]  A. Lewbel,et al.  Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables , 2000 .

[24]  Richard Blundell,et al.  Endogeneity in Nonparametric and Semiparametric Regression Models , 2022 .

[25]  A. Juditsky,et al.  Direct estimation of the index coefficient in a single-index model , 2001 .

[26]  Bo E. Honoré,et al.  Semiparametric Binary Choice Panel Data Models without Strictly Exogeneous Regressors , 2000 .

[27]  Whitney K. Newey,et al.  Nonparametric Estimation of Sample Selection Models , 2003 .

[28]  Thomas M. Stoker,et al.  Interpreting Aggregate Wage Growth: The Role of Labor Market Participation , 2003 .