In labor economics, one is faced with explaining the decision to participate in the labor force, the decision to join a union, or the decision to migrate from one region to the other. In all these cases, the dependent variable is a dummy variable with values 1 if the worker participates and 0 if he or she does not participate. We dealt with dummy variables as explanatory variables on the right hand side of the regression, but what additional problems arise when this dummy variable appears on the left hand side of the equation? As we have done in previous chapters, we first study its effects on the usual least squares estimator, and then consider alternative estimators that are more appropriate for models of this nature.
KeywordsCovariance Transportation Income Resid Univer
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- This chapter is based on the material in Hanushek and Jackson (1977), Maddala (1983), Davidson and MacKinnon (1993) and Greene (1993) . Additional references include:Google Scholar
- Amemiya, T. (1981), “Qualitative Response Models: A Survey,” Journal of Economic Literature, 19: 1481–1536.Google Scholar
- Berndt, E., B. Hall, R. Hall and J. Hausman (1974), “Estimation and Inference in Nonlinear Structural Models,” Annals of Economic and Social Measurement, 3/4: 653–665.Google Scholar
- Cox, D.R. (1970), The Analysis of Binary Data (Chapman and Hall: London).Google Scholar
- Dempster, A., N. Laird and D. Rubin (1977), “Maximum Likelihood Estimation from Incomplete Data via the EM Algorithm,” Journal of the Royal Statistical Society, Series B, 39: 1–38.Google Scholar
- Goldberger, A. (1964), Econometric Theory (Wiley: New York) .Google Scholar
- Hanushek, E.A. and J.E. Jackson (1977), Statistical Methods for Social Scientists (Academic Press: New York) .Google Scholar
- Heckman, J. (1976), “The Common Structure of Statistical Models of Truncation, Sample Selection, and Limited Dependent Variables and a Simple Estimator for Such Models,” Annals of Economic and Social Measurement, 5: 475–492.Google Scholar
- Lee, L.F. (2001), “Self-Selection,” Chapter 18 in B.H. Baltagi (ed.) A Companion to Theoretical Econometrics (Blackwell: Massachusetts).Google Scholar
- Lott, W.F. and S.C. Ray (1992), Applied Econometrics: Problems with Data Sets (The Dryden Press: New York) .Google Scholar
- Manski, C.F. (1995), Identification Problems in the Social Sciences (Harvard University Press: Cambridge) .Google Scholar