Covariate Measurement Error: Bias Reduction under Response-Based Sampling
AbstractIn this paper we propose a general framework to deal with the presence of covariate measurement error (CME) in response-based (RB) samples. Using Chesher's (1991) methodology, we obtain a small error variance approximation for the contaminated sampling distributions that characterize RB samples with CME. Then, following Chesher (2000), we develop the generalized method of moments (GMM) estimators that reduce the bias of the most well known likelihood-based estimators for RB samples which ignore the existence of CME and derive a score test to detect the presence of this type of measurement error. Our approach only requires the specification of the conditional distribution of the response variable given the latent covariates and the classical additive measurement error model assumption, the availability of information on both the marginal probability of the strata in the population and the variance of the measurement error not being essential. Monte Carlo evidence is presented which suggests that, in RB samples of moderate sizes, the bias-reduced GMM estimators perform well.
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Bibliographic InfoArticle provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.
Volume (Year): 14 (2010)
Issue (Month): 4 (September)
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Other versions of this item:
- Esmeralda Ramalho, 2009. "Covariate Measurement Error:Bias Reduction under Response-based Sampling," CEFAGE-UE Working Papers 2009_15, University of Evora, CEFAGE-UE (Portugal).
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
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- Wang, C. Y. & Wang, Suojin & Carroll, R. J., 1997. "Estimation in choice-based sampling with measurement error and bootstrap analysis," Journal of Econometrics, Elsevier, vol. 77(1), pages 65-86, March.
- Manski, Charles F & Lerman, Steven R, 1977. "The Estimation of Choice Probabilities from Choice Based Samples," Econometrica, Econometric Society, vol. 45(8), pages 1977-88, November.
- Andrew Chesher & Richard J. Smith, 1997. "Likelihood Ratio Specification Tests," Econometrica, Econometric Society, vol. 65(3), pages 627-646, May.
- Imbens, G.W., 1990.
"An Efficient Method Of Moments Estimator For Descrete Choice Models With Choice-Based Sampling,"
9009, Tilburg - Center for Economic Research.
- Imbens, Guido W, 1992. "An Efficient Method of Moments Estimator for Discrete Choice Models with Choice-Based Sampling," Econometrica, Econometric Society, vol. 60(5), pages 1187-214, September.
- Imbens, G.W., 1991. "An Efficient Method Of Moments Estimator For Discrete Choice Models With Choice-Based Sampling," Harvard Institute of Economic Research Working Papers 1546, Harvard - Institute of Economic Research.
- Imbens, G., 1990. "An Efficient Method of Moments Estimator for Discrete Choice Models with Choice-Based Sampling," Discussion Paper 1990-9, Tilburg University, Center for Economic Research.
- Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01.
- Imbens, G. & Lancaster, T., 1991.
"Efficient Estimation and Stratified Sampling,"
9145, Tilburg - Center for Economic Research.
- Imbens, G. & Lancaster, T., 1991. "Efficient estimation and stratified sampling," Discussion Paper 1991-45, Tilburg University, Center for Economic Research.
- Imbens, G. & Lancaster, T., 1991. "Efficient Estimation And Stratified Sampling," Harvard Institute of Economic Research Working Papers 1545, Harvard - Institute of Economic Research.
- Schennach, Susanne M., 2004. "Nonparametric Regression In The Presence Of Measurement Error," Econometric Theory, Cambridge University Press, vol. 20(06), pages 1046-1093, December.
- Esmeralda Ramalho & Joaquim Ramalho, 2006.
"Bias-Corrected Moment-Based Estimators for Parametric Models Under Endogenous Stratified Sampling,"
Taylor & Francis Journals, vol. 25(4), pages 475-496.
- Joaquim J.S. Ramalho & Esmeralda Ramalho, 2005. "Bias-corrected Moment-based Estimators for Parametric Models under Endogenous Stratified Sampling," Economics Working Papers 11_2005, University of Évora, Department of Economics (Portugal).
- Andrew Chesher & J. M. C. Santos Silva, 2002.
"Taste Variation in Discrete Choice Models,"
Review of Economic Studies,
Oxford University Press, vol. 69(1), pages 147-168.
- Wooldridge, Jeffrey M., 2001. "Asymptotic Properties Of Weighted M-Estimators For Standard Stratified Samples," Econometric Theory, Cambridge University Press, vol. 17(02), pages 451-470, April.
- Jeffrey M. Wooldridge, 1999. "Asymptotic Properties of Weighted M-Estimators for Variable Probability Samples," Econometrica, Econometric Society, vol. 67(6), pages 1385-1406, November.
- Andrew Chesher & Christian Schluter, 2002.
"Welfare Measurement and Measurement Error,"
Review of Economic Studies,
Oxford University Press, vol. 69(2), pages 357-378.
- Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September.
- Susanne M. Schennach, 2004.
"Instrumental Variable Estimation of Nonlinear Errors-in-Variables Models,"
Econometric Society 2004 North American Summer Meetings
602, Econometric Society.
- Susanne M Schennach, 2007. "Instrumental Variable Estimation of Nonlinear Errors-in-Variables Models," Econometrica, Econometric Society, vol. 75(1), pages 201-239, 01.
- Cosslett, Stephen R, 1981. "Maximum Likelihood Estimator for Choice-Based Samples," Econometrica, Econometric Society, vol. 49(5), pages 1289-1316, September.
- Yingyao Hu & Susanne M. Schennach, 2008. "Instrumental Variable Treatment of Nonclassical Measurement Error Models," Econometrica, Econometric Society, vol. 76(1), pages 195-216, 01.
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