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
Amemiya, T. [ 1981 ]: Qualitative Response Models: A Survey Journal of Economic Literature, 19, 483–536.
Amemiya, T. [ 1985 ]: Advanced Econometrics, Cambridge: Harvard University Press.
Andersen, E.B. [ 1973 ]: Conditional Inference and Models for Measuring, Mentalhygiejnisk Forlag: Kobenhaun.
Bishop, Y.M.M., S.E. Fienberg and P.W. Holland Discrete Multivariate Analysis, MIT Press, Cambridge, MA.
Butler, J.S. and R. Moffitt [ 1982 ]: A Computationally Efficient Quadrature Procedure for the One Factor Multinomial Probit Model, Econometrica, 50, 761–764.
Chamberlain, G. [ 1980 ]: Analysis of Covariance with Qualitative Data, Review of Economic Studies, 47, 225–238.
Chamberlain, G. [ 1984 ]: Panel Data, in Handbook of Econometrics, Vol. II, ed. by Z. Griliches and M. Intriligator, pp. 1247–1318. Amesterdam: North-Holland.
Chesher, A. and M. Irish [ 1987 ]: Residual Analysis in the Grouped and Censored Normal Linear Model, Journal of Econometrics, 34, 33–62.
Cox, D.R. [ 1970 ]: Analysis of Binary Data, Methuen, London.
Davidson, R. and J.G. MacKinnon [ 1984 ]: Convenient Specification Tests for Logit and Probit Models, Journal of Econometrics, 25, 241–262.
Lee, L.F. [ 1982 ]: Specification Error in Multinomial Logit Models: Analysis of the Omitted Variable Bias, Journal of Econometrics, 20.
Lee, L.F. [ 1987 ]: Nonparametric Testing of Discrete Panel Data Models, Journal of Econometrics, 34, 147–178.
Goodman, L.A. [ 1972 ]: A Modified Multiple Regression Approach to the Analysis of Dichotomous Variables, American Sociological Review, 37, 28–46.
Goddman, L.A. [ 1978 ]: Analyzing Qualitative/Categorical Data, Cambridge, M.A.: Abt. Books.
Gourieroux, C.A. Monfort, E. Renault and A. Trognon [ 1987 ]: Generalized Residuals, Journal of Econometrics, 34, 5–32.
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.
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.
Heckman, J.J. [ 1981b ]: Heterogeneity and State Dependence, in Studies in Labor Markets, ed. by S. Rosen, Chicago: Chicago University Press, 91–139.
Hsiao, C. [ 1986 ]: Analysis of Panel Data, Econometric Society monographs No. 11, New York: Cambridge University Press.
Maddala, G.S. [ 1983 ]: Limited Dependent and Qualitative Variables in Econometrics, Cambridge: Cambridge University Press.
Manski, C.F. [ 1975 ]: Maximum Score Estimation of the Stochastic Utility Model of Choice, Journal of Econometrics, 3, 205–228.
Manski, C.F. [ 1985 ]: Semi-parametric Analysis of Discrete Response: Asymptotic Prop- erties of the Maximum Score Estimator, Journal of Econometrics, 27, 313–333.
Manski, C.F. [ 1987 ]: Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data, Econometrica, 55, 357–362.
McFadden, D.J. [ 1974 ]: Conditional Logit Analysis of Qualitative Choice Behavior, in Frontiers in Econometrics, ed. by P. Zarembka, New York: Academic Press.
McFadden, D.J. [ 1976 ]: Quantal Choice Analysis: A Survey, Annals of Economic and Social Measvrement, 5, 363–390.
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.
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.
McFadden, D.J. [ 1987 ]: Regression-based Specification Tests for the Multinomial Logit Models, Journal of Econometrics, 34, 63–82.
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.
Neyman, J. and E.L. Scott [ 1948 ]: Consistent Estimates Based on Partially Consistent Observations, Econometrica, 16, 1–32.
Stroud, A.H. and D. Secrest [ 1966 ]: Gaussian Quadrature Formulas, Englewood, N.J.: Prentice Hall.
Train, K. [ 1985 ]: Qualitative Choice Analysis, Cambridge: MIT Press.
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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
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