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Logit and Probit Models

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The Econometrics of Panel Data

Part of the book series: Advanced Studies in Theoretical and Applied Econometrics ((ASTA,volume 33))

Abstract

Statistical models in which the endogenous random variables take only discrete values are known as discrete, categorical, qualitative — choice, or quantal response models.1 This class of models was originally developed by psychologists and later adapted and extended by economists for describing consumers choices. These models have numerous applications because many behavioural responses are qualitative in nature: a commuter decides whether to take public transit; a consumer decides whether to buy a car; a high school student decides whether to attend a college; a housewife decides whether to participate in the labour force, etc. The focus of these models is usually on the individual decision making units. The estimation of these models is also facilitated by the availability of an increasingly large number of survey data on households and individual firms.

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References

  • Abramowitz, M. and J. Stegun [ 1965 ]: Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover; New York

    Google Scholar 

  • Amemiya, T. [ 1981 ]: Qualitative Response Models: A Survey Journal of Economic Literature, 19, 483–536.

    Google Scholar 

  • Amemiya, T. [ 1985 ]: Advanced Econometrics, Cambridge: Harvard University Press.

    Google Scholar 

  • Andersen, E.B. [ 1973 ]: Conditional Inference and Models for Measuring, Mentalhygiejnisk Forlag: Kobenhaun.

    Google Scholar 

  • Bishop, Y.M.M., S.E. Fienberg and P.W. Holland Discrete Multivariate Analysis, MIT Press, Cambridge, MA.

    Google Scholar 

  • Butler, J.S. and R. Moffitt [ 1982 ]: A Computationally Efficient Quadrature Procedure for the One Factor Multinomial Probit Model, Econometrica, 50, 761–764.

    Article  Google Scholar 

  • Chamberlain, G. [ 1980 ]: Analysis of Covariance with Qualitative Data, Review of Economic Studies, 47, 225–238.

    Article  Google Scholar 

  • Chamberlain, G. [ 1984 ]: Panel Data, in Handbook of Econometrics, Vol. II, ed. by Z. Griliches and M. Intriligator, pp. 1247–1318. Amesterdam: North-Holland.

    Google Scholar 

  • Chesher, A. and M. Irish [ 1987 ]: Residual Analysis in the Grouped and Censored Normal Linear Model, Journal of Econometrics, 34, 33–62.

    Article  Google Scholar 

  • Cox, D.R. [ 1970 ]: Analysis of Binary Data, Methuen, London.

    Google Scholar 

  • Davidson, R. and J.G. MacKinnon [ 1984 ]: Convenient Specification Tests for Logit and Probit Models, Journal of Econometrics, 25, 241–262.

    Article  Google Scholar 

  • Lee, L.F. [ 1982 ]: Specification Error in Multinomial Logit Models: Analysis of the Omitted Variable Bias, Journal of Econometrics, 20.

    Google Scholar 

  • Lee, L.F. [ 1987 ]: Nonparametric Testing of Discrete Panel Data Models, Journal of Econometrics, 34, 147–178.

    Article  Google Scholar 

  • Goodman, L.A. [ 1972 ]: A Modified Multiple Regression Approach to the Analysis of Dichotomous Variables, American Sociological Review, 37, 28–46.

    Article  Google Scholar 

  • Goddman, L.A. [ 1978 ]: Analyzing Qualitative/Categorical Data, Cambridge, M.A.: Abt. Books.

    Google Scholar 

  • Gourieroux, C.A. Monfort, E. Renault and A. Trognon [ 1987 ]: Generalized Residuals, Journal of Econometrics, 34, 5–32.

    Article  Google Scholar 

  • Heckman, J.J. [ 1978 ]: Simple Statistical Models for Discrete Panel Data Developed and Applied to Test the Hypothesis of True State Dependence against the Hypothesis of Spurious State Dependence, Annales de L’INSEE — No. 30–31, 227–269.

    Google Scholar 

  • Heckman, J.J. [ 1981a ]: Statistical Models for Discrete Panel Data, in Structural Analysis of Discrete Data with Econometric Applications, ed. by C.F. Manski and D. McFadden, pp. 114–178, Cambridge: MIT Press.

    Google Scholar 

  • Heckman, J.J. [ 1981b ]: Heterogeneity and State Dependence, in Studies in Labor Markets, ed. by S. Rosen, Chicago: Chicago University Press, 91–139.

    Google Scholar 

  • Hsiao, C. [ 1986 ]: Analysis of Panel Data, Econometric Society monographs No. 11, New York: Cambridge University Press.

    Google Scholar 

  • Maddala, G.S. [ 1983 ]: Limited Dependent and Qualitative Variables in Econometrics, Cambridge: Cambridge University Press.

    Google Scholar 

  • Manski, C.F. [ 1975 ]: Maximum Score Estimation of the Stochastic Utility Model of Choice, Journal of Econometrics, 3, 205–228.

    Article  Google Scholar 

  • Manski, C.F. [ 1985 ]: Semi-parametric Analysis of Discrete Response: Asymptotic Prop- erties of the Maximum Score Estimator, Journal of Econometrics, 27, 313–333.

    Article  Google Scholar 

  • Manski, C.F. [ 1987 ]: Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data, Econometrica, 55, 357–362.

    Article  Google Scholar 

  • McFadden, D.J. [ 1974 ]: Conditional Logit Analysis of Qualitative Choice Behavior, in Frontiers in Econometrics, ed. by P. Zarembka, New York: Academic Press.

    Google Scholar 

  • McFadden, D.J. [ 1976 ]: Quantal Choice Analysis: A Survey, Annals of Economic and Social Measvrement, 5, 363–390.

    Google Scholar 

  • McFadden, D.J. [ 1981 ]: Econometric Models of Probablistic Choice, in Structural Analysis of Discrete Data with Econometric Applications, ed. by C.F. Manski and D. McFadden, Cambridge, MIT Press.

    Google Scholar 

  • McFadden, D.J. [ 1984 ]: Qualitative Response Models, in Handbook of Econometrics, vol. I, edited by Z. Giriliches and M. Intriligator, Amesterdam: North-Holland, 1395–1457.

    Google Scholar 

  • McFadden, D.J. [ 1987 ]: Regression-based Specification Tests for the Multinomial Logit Models, Journal of Econometrics, 34, 63–82.

    Article  Google Scholar 

  • Nerlove, M. and S.J. Press [ 1976 ]: Multivariate Log-linear Probability Models for the Analysis of Qualitative Data, Discussion paper no. 1, center for Statistics and Probability, Northwestern University.

    Google Scholar 

  • Neyman, J. and E.L. Scott [ 1948 ]: Consistent Estimates Based on Partially Consistent Observations, Econometrica, 16, 1–32.

    Article  Google Scholar 

  • Stroud, A.H. and D. Secrest [ 1966 ]: Gaussian Quadrature Formulas, Englewood, N.J.: Prentice Hall.

    Google Scholar 

  • Train, K. [ 1985 ]: Qualitative Choice Analysis, Cambridge: MIT Press.

    Google Scholar 

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© 1996 Kluwer Academic Publishers

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Hsiao, C. (1996). Logit and Probit Models. In: Mátyás, L., Sevestre, P. (eds) The Econometrics of Panel Data. Advanced Studies in Theoretical and Applied Econometrics, vol 33. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0137-7_16

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  • DOI: https://doi.org/10.1007/978-94-009-0137-7_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-3787-4

  • Online ISBN: 978-94-009-0137-7

  • eBook Packages: Springer Book Archive

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