Abstract
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 finance, a consumer defaults on a loan or a credit card debt, or purchases a stock or an asset like a house or a car. In these examples, the dependent variable is usually a dummy variable with values 1 if the worker participates (or consumer defaults on a loan) and 0 if he or she does not participate (or default). 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.
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Notes
- 1.
This chapter is based on the material in Hanushek and Jackson (1977), Maddala (1983), Davidson and MacKinnon (1993) and Greene (1993). Additional references include:
References
Footnote
This chapter is based on the material in Hanushek and Jackson (1977), Maddala (1983), Davidson and MacKinnon (1993) and Greene (1993). Additional references include:
Amemiya, T. (1981), “Qualitative Response Models: A Survey,” Journal of Economic Literature, 19: 1481–1536.
Amemiya, T. (1984), “Tobit Models: A Survey,” Journal of Econometrics, 24: 3–61.
Baltagi, B.H. (2000), “Sampling Distribution of OLS Under a Logit Model,” Problem 00.3.1, Econometric Theory, 16: 451.
Bera, A.K., C. Jarque and L.F. Lee (1984), “Testing the Normality Assumption in Limited Dependent Variable Models,” International Economic Review, 25: 563–578.
Berkson, J. (1953), “A Statistically Precise and Relatively Simple Method of Estimating the Bio-Assay with Quantal Response, Based on the Logistic Function,” Journal of the American Statistical Association, 48: 565–599.
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.
Boskin, M. (1974), “A Conditional Logit Model of Occupational Choice,” Journal of Political Economy, 82: 389–398.
Carrasco, R. (2001), “Binary Choice with Binary Endogenous Regressors in Panel Data: Estimating the Effect Fertility on Female Labor Participation,” Journal of Business & Economic Statistics, 19: 385–394.
Cornwell, C. and P. Rupert (1988), “Efficient Estimation with Panel Data: An Empirical Comparison of Instrumental Variables Estimators,” Journal of Applied Econometrics, 3: 149–155.
Cox, D.R. (1970), The Analysis of Binary Data (Chapman and Hall: London).
Cragg, J. and R. Uhler (1970), “The Demand for Automobiles,” Canadian Journal of Economics, 3: 386–406.
Davidson, R. and J. MacKinnon (1984), “Convenient Specification Tests for Logit and Probit Models,” Journal of Econometrics, 25: 241–262.
Dhillon, U.S., J.D. Shilling and C.F. Sirmans (1987), “Choosing Between Fixed and Adjustable Rate Mortgages,” Journal of Money, Credit and Banking, 19: 260–267.
Effron, B. (1978), “Regression and ANOVA with Zero-One Data: Measures of Residual Variation,” Journal of the American Statistical Association, 73: 113–121.
Goldberger, A. (1964), Econometric Theory (Wiley: New York).
Gourieroux, C., A. Monfort and A. Trognon (1984), “Pseudo-Maximum Likelihood Methods: Theory,” Econometrica, 52: 681–700.
Hanushek, E.A. and J.E. Jackson (1977), Statistical Methods for Social Scientists (Academic Press: New
York).
Hausman, J. and D. McFadden (1984), “A Specification Test for Multinomial Logit Model,” Econometrica, 52: 1219–1240.
Hausman, J.A. and D.A. Wise (1977), “Social Experimentation, Truncated Distributions, and Efficient Estimation,” Econometrica, 45: 919–938.
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.
Heckman, J. (1979), “Sample Selection Bias as a Specification Error,” Econometrica, 47: 153–161. Lee, L.F. (2001), “Self-Selection,” Chapter 18 in B.H. Baltagi (ed.) A Companion to Theoretical Econometrics (Blackwell: Massachusetts).
Lee, L.F. and G.S. Maddala (1985), “The Common Structure of Tests for Selectivity Bias, Serial Correlation, Heteroskedasticity and Non-Normality in the Tobit Model,” International Economic Review, 26: 1–20.
Lott, W.F. and S.C. Ray (1992), Applied Econometrics: Problems with Data Sets (The Dryden Press:
New York).
Maddala, G. (1983), Limited Dependent and Qualitative Variables in Econometrics (Cambridge University Press: Cambridge).
Manski, C.F. (1995), Identification Problems in the Social Sciences (Harvard University Press: Cambridge).
McFadden, D. (1974), “The Measurement of Urban Travel Demand,” Journal of Public Economics, 3: 303–328.
McCullagh, P. and J.A. Nelder (1989), Generalized Linear Models (Chapman and Hall: New York).
Mroz, T.A. (1987), “The Sensitivity of an Empirical Model of Married Women’s Hours of Work to Economic and Statistical Assumptions,” Econometrica, 55: 765–799.
Mullahy, J. and J. Sindelar (1996), “Employment, Unemployment, and Problem Drinking,” Journal of Health Economics, 15: 409–434.
Pagan, A.R. and F. Vella (1980), “Diagnostic Tests for Models Based on Individual Data: A Survey,” Journal of Applied Econometrics, 4: S29-S59.
Papke, L.E. and J.M. Wooldridge (1996), “Econometric Methods for Fractional Response Variables with An Application to 401(K) Plan Participation Rates,”Journal of Applied Econometrics, 11: 619–632.
Powell, J. (1984), “Least Absolute Deviations Estimation of the Censored Regression Model,” Journal of Econometrics, 25: 303–325.
Powell, J. (1986), “Symmetrically Trimmed Least Squares Estimation for Tobit Models,” Econometrica, 54: 1435–1460.
Pratt, J.W. (1981), “Concavity of the Log-Likelihood,” Journal of the American Statistical Association, 76: 103–109.
Ruhm, C.J. (1996), “Alcohol Policies and Highway Vehicle Fatalities,” Journal of Health Economics, 15: 435–454.
Schmidt, P. and R. Strauss (1975), “Estimation of Models With Jointly Dependent Qualitative Variables: A Simultaneous Logit Approach,” Econometrica, 43: 745–755.
Terza, J. (2002), “Alcohol Abuse and Employment: A Second Look,” Journal of Applied Econometrics, 17: 393–404.
Wooldridge, J.M. (1991), “Specification Testing and Quasi-Maximum Likelihood Estimation,” Journal of Econometrics, 48: 29–55.
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Baltagi, B.H. (2011). Limited Dependent Variables. In: Econometrics. Springer Texts in Business and Economics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20059-5_13
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