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Testing exogeneity in cross-section regression by sorting data




We introduce a framework to test for exogeneity of a variable in a regression based on cross-sectional data. By sorting data with respect to a function (sorting score) of known exogeneous variables it is possible to utilize a battery of tools originally develped to detecting model misspecification in at time series context. Thus, we are able to propose graphical tools for the identification of endogeneity, as well as formal tests, including a simple-to-use Chow test, needing a minimum of assumptions on the alternative endogeneity hypothesis. Models of endogenous treatment and selectivity are utilized to illustrate the methods. With Monte Carlo experiments, including continous and discrete response cases, we compare small sample performances with existing tests for exogeneity.

Suggested Citation

  • de Luna, Xavier & Johansson, Per, 2000. "Testing exogeneity in cross-section regression by sorting data," Working Paper Series 2000:2, IFAU - Institute for Evaluation of Labour Market and Education Policy.
  • Handle: RePEc:hhs:ifauwp:2000_002

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    1. repec:mpr:mprres:3005 is not listed on IDEAS
    2. James J. Heckman & Hidehiko Ichimura & Petra E. Todd, 1997. "Matching As An Econometric Evaluation Estimator: Evidence from Evaluating a Job Training Programme," Review of Economic Studies, Oxford University Press, vol. 64(4), pages 605-654.
    3. Louis S. Jacobson & Robert J. LaLonde & Daniel G. Sullivan, 1999. "Measures of program performance and the training choices of displaced workers," Working Paper Series WP-99-28, Federal Reserve Bank of Chicago.
    4. Parsons, Donald O, 1991. "Self-Screening in Targeted Public Transfer Programs," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 859-876, August.
    5. Christopher J. O'Leary & Paul T. Decker & Stephen A. Wandner, 2002. "Targeting Reemployment Bonuses," Book chapters authored by Upjohn Institute researchers,in: Stephen A. Wandner & Randall W. Eberts & Christopher J. O'Leary (ed.), Targeting Employment Services, chapter 6, pages 161-182 W.E. Upjohn Institute for Employment Research.
    6. James Heckman & Neil Hohmann & Jeffrey Smith & Michael Khoo, 2000. "Substitution and Dropout Bias in Social Experiments: A Study of an Influential Social Experiment," The Quarterly Journal of Economics, Oxford University Press, vol. 115(2), pages 651-694.
    7. Paul Storer & Marc A. Van Audenrode, 1995. "Unemployment Insurance Take-Up Rates in Canada: Facts, Determinants, and Implications," Canadian Journal of Economics, Canadian Economics Association, vol. 28(4a), pages 822-835, November.
    8. Rebecca M. Blank & Patricia Ruggles, 1996. "When Do Women Use Aid to Families with Dependent Children and Food Stamps? The Dynamics of Eligibility Versus Participation," Journal of Human Resources, University of Wisconsin Press, vol. 31(1), pages 57-89.
    9. Rebecca M. Blank, 2001. "What Causes Public Assistance Caseloads to Grow?," Journal of Human Resources, University of Wisconsin Press, vol. 36(1), pages 85-118.
    10. Ashenfelter, Orley & Card, David, 1985. "Using the Longitudinal Structure of Earnings to Estimate the Effect of Training Programs," The Review of Economics and Statistics, MIT Press, vol. 67(4), pages 648-660, November.
    11. James Heckman & Jeffrey Smith & Christopher Taber, 1998. "Accounting For Dropouts In Evaluations Of Social Programs," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 1-14, February.
    12. James Heckman & Salvador Navarro-Lozano, 2004. "Using Matching, Instrumental Variables, and Control Functions to Estimate Economic Choice Models," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 30-57, February.
    13. Zweimuller, Josef & Winter-Ebmer, Rudolf, 1996. "Manpower Training Programmes and Employment Stability," Economica, London School of Economics and Political Science, vol. 63(249), pages 113-130, February.
    14. Card, David & Sullivan, Daniel G, 1988. "Measuring the Effect of Subsidized Training Programs on Movements in and out of Employment," Econometrica, Econometric Society, vol. 56(3), pages 497-530, May.
    15. Kathryn H. Anderson & Richard V. Burkhauser & Jennie E. Raymond, 1993. "The Effect of Creaming on Placement Rates under the Job Training Partnership Act," ILR Review, Cornell University, ILR School, vol. 46(4), pages 613-624, July.
    16. James J. Heckman & Jeffrey A. Smith & Christopher Taber, 1996. "What Do Bureaucrats Do? The Effects of Performance Standards and Bureaucratic Preferences on Acceptance into the JTPA Program," NBER Working Papers 5535, National Bureau of Economic Research, Inc.
    17. Duane E. Leigh, 1995. "Assisting Workers Displaced by Structural Change: An International Perspective," Books from Upjohn Press, W.E. Upjohn Institute for Employment Research, number awd, November.
    18. Dahlia K. Remler & Jason E. Rachlin & Sherry A. Glied, 2001. "What can the take-up of other programs teach us about how to improve take-up of health insurance programs?," NBER Working Papers 8185, National Bureau of Economic Research, Inc.
    19. James Heckman & Hidehiko Ichimura & Jeffrey Smith & Petra Todd, 1998. "Characterizing Selection Bias Using Experimental Data," Econometrica, Econometric Society, vol. 66(5), pages 1017-1098, September.
    20. Ann Dryden Witte & Magaly Queralt, 2002. "Take-Up Rates and Trade Offs After the Age of Entitlement: Some Thoughts and Empirical Evidence for Child Care Subsidies," NBER Working Papers 8886, National Bureau of Economic Research, Inc.
    21. Patricia M. Anderson & Bruce D. Meyer, 1997. "Unemployment Insurance Takeup Rates and the After-Tax Value of Benefits," The Quarterly Journal of Economics, Oxford University Press, vol. 112(3), pages 913-937.
    22. Heckman, James J. & Robb, Richard Jr., 1985. "Alternative methods for evaluating the impact of interventions : An overview," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 239-267.
    23. James J. Heckman & Jeffrey A. Smith, 1999. "The Pre-Program Earnings Dip and the Determinants of Participation in a Social Program: Implications for Simple Program Evaluation Strategies," NBER Working Papers 6983, National Bureau of Economic Research, Inc.
    24. McCall, Brian P, 1995. "The Impact of Unemployment Insurance Benefit Levels on Recipiency," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(2), pages 189-198, April.
    25. Riphahn, Regina T., 2000. "Rational Poverty or Poor Rationality? The Take-up of Social Assistance Benefits," IZA Discussion Papers 124, Institute for the Study of Labor (IZA).
    26. James J. Heckman & Hidehiko Ichimura & Petra Todd, 1998. "Matching As An Econometric Evaluation Estimator," Review of Economic Studies, Oxford University Press, vol. 65(2), pages 261-294.
    27. Heckman, James J & Smith, Jeffrey A, 1999. "The Pre-programme Earnings Dip and the Determinants of Participation in a Social Programme. Implications for Simple Programme Evaluation Strategies," Economic Journal, Royal Economic Society, vol. 109(457), pages 313-348, July.
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    More about this item


    Chow test; Endogenous treatment; Propensity score; Recursive residuals; Sample selection; Sorting score;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection


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