On Testing Sample Selection Bias under the Multicollinearity Problem
AbstractThis paper examines and compares the finite sample performance of the existing tests for sample selection bias, especially under the multi-collinearity problem pointed out by Nawata (1993). The results show that under such multicollinearity problem, (i) the t-test for sample selection bias based on the Heckman and Greene variance estimator can be unreliable; (ii) the standard t-test (Heckman 1979) and the asymptotically efficient Lagrange multiplier test (Melino 1982) have correct size but very little power; (iii) however, the likelihood ratio test following the maximum likelihood estimation remains powerful.
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Bibliographic InfoPaper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0522.
Date of creation: May 2005
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Sample selection bias; t-test; Wald test; likelihood ratio test; Lagrange multiplier test;
Other versions of this item:
- Takashi Yamagata & Chris Orme, 2005. "On Testing Sample Selection Bias Under the Multicollinearity Problem," Econometric Reviews, Taylor and Francis Journals, vol. 24(4), pages 467-481.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models
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- Greene, William H, 1981. "Sample Selection Bias as a Specification Error: Comment," Econometrica, Econometric Society, vol. 49(3), pages 795-98, May.
- Olsen, Randall J, 1980. "A Least Squares Correction for Selectivity Bias," Econometrica, Econometric Society, vol. 48(7), pages 1815-20, November.
- Leung, S.F. & Yu, S., 1992.
"On the Choice Between Sample Selection and Two-Part Models,"
RCER Working Papers
337, University of Rochester - Center for Economic Research (RCER).
- Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
- Orme, Chris, 1990. "The small-sample performance of the information-matrix test," Journal of Econometrics, Elsevier, vol. 46(3), pages 309-331, December.
- Kazumitsu Nawata & Michael McAleer, 2001. "Size Characteristics Of Tests For Sample Selection Bias: A Monte Carlo Comparison And Empirical Example," Econometric Reviews, Taylor and Francis Journals, vol. 20(1), pages 105-112.
- Melino, Angelo, 1982. "Testing for Sample Selection Bias," Review of Economic Studies, Wiley Blackwell, vol. 49(1), pages 151-53, January.
- Olsen, Randall J, 1982. "Distributional Tests for Selectivity Bias and a More Robust Likelihood Estimator," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(1), pages 223-40, February.
- Heckman, James J, 1979.
"Sample Selection Bias as a Specification Error,"
Econometric Society, vol. 47(1), pages 153-61, January.
- Nawata, Kazumitsu, 1994. "Estimation of sample selection bias models by the maximum likelihood estimator and Heckman's two-step estimator," Economics Letters, Elsevier, vol. 45(1), pages 33-40, May.
- Chesher, Andrew & Spady, Richard, 1991. "Asymptotic Expansions of the Information Matrix Test Statistic," Econometrica, Econometric Society, vol. 59(3), pages 787-815, May.
- Thomas Mroz, .
"The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions,"
University of Chicago - Population Research Center
84-8, Chicago - Population Research Center.
- Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-99, July.
- Verbič, Miroslav & Spruk, Rok, 2011. "Aging population and public pensions: theory and evidence," MPRA Paper 38914, University Library of Munich, Germany.
- Zhang, Fan, 2011. "Distributional impact analysis of the energy price reform in Turkey," Policy Research Working Paper Series 5831, The World Bank.
- Yamagata, Takashi, 2006. "The small sample performance of the Wald test in the sample selection model under the multicollinearity problem," Economics Letters, Elsevier, vol. 93(1), pages 75-81, October.
- Quattri, Maria A. & Ozanne, Adam & Wang, Xioabing & Hall, Alastair R., 2011. "On The Role Of The Brokerage Institution In The Development Of Ethiopian Agricultural Markets," 85th Annual Conference, April 18-20, 2011, Warwick University, Coventry, UK 108941, Agricultural Economics Society.
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