Abstract
Traditionally economists have dealt with models designed to explain the variation in a dependent variable which could be assumed continuous and normally distributed. Economics, however, as a theory of choice, can be applied not only to questions about how much to produce or consume but also“whether” to produce or consume a certain item. More generally, individual economic units often must choose between a finite set of alternatives. Economists are interested in what factors are considered by the decision making unit and in quantifying their individual effects. Some examples of situations where such choices arise are:
-
(i)
a household must decide whether to buy or rent a suitable dwelling;
-
(ii)
a Senator must decide on whether to vote yes or no on a particular piece of legislation;
-
(iii)
a consumer must choose which of perhaps several shopping areas to visit and a mode of transportation;
-
(iv)
members of a household must decide whether to take part-time or fulltime employment, or whether or not to seek a second job; and
-
(v)
a person must decide whether or not to attend college.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Akin, J. S., Guilkey, D. R., and Sickles, R. (1979). A random coefficient probit model with an application to a study of migration. Journal of Econometrics, 11, 233–246.
Albright, R. L., Lerman, S. R., and Manski, C. F. (1977). Report on the development of an estimation program for the multinomial probit model. Prepared for the Federal Highway Administration.
Amemiya, T. (1973). Regression analysis when the dependent variable is truncated normal. Econometrica, 42, 999–1012.
Amemiya, T. (1975). Qualitative response models. Annals of Economic and Social Measurement, 4, 363–372.
Amemiya, T. (1978a). On a two-step estimator of a multivariate logit model. Journal of Econometrics, 8, 13–21.
Amemiya, T. (1978b). The estimation of a simultaneous equation generalized probit model. Econometrica, 46, 1193–1206.
Amemiya, T. (1979). The estimation of a simultaneous-equation tobit model. International Economic Review, 20, 169–182.
Amemiya, T. (1981). Qualitative response models: a survey. Journal of Economic Literature, 19, 1483–1536.
Amemiya, T. and Powell, J. L. (1980). A comparison of the logit model and normal discriminant analysis when independent variables are binary. Technical Report No. 320, Institute for Mathematical Studies in the Social Sciences, Stanford Univ., Stanford, CA.
Ashford, J. R. and Sowden, R. R. (1970). Multivariate probit analysis. Biometrics, 26, 535–456.
Daganzo, C. (1979). Multinomial Probit. New York: Academic Press.
Dhrymes, P. J. (1978). Introductory Econometrics, New York: Springer-Verlag.
Domencich, T. and McFadden, D. (1975). Urban Travel Demand: A Behavioral Analysis. Amsterdam: North-Holland.
Goldberger, A. S. (1981). Linear regression after selection. Journal of Econometrics, 15, 357–366.
Gourieroux, C, Laffont, J. J., and Monfort, A. (1980). Coherancy conditions in simultaneous linear equation models with endogenous switching regimes. Econometrica, 48, 675–695.
Gourieroux, C. and Monfort, A. (1981). Asymptotic properties of the maximum likelihood estimator in dichotomous logit models. Journal of Econometrics, 17, 83–98.
Greene, W. H. (1981a). On the asymptotic bias of the ordinary least squares estimator of the tobit model. Econometrica, 49, 505–514.
Greene, W. H. (1981b). Sample selection bias as a specification error. Econometrica, 49, 795–798.
Guilkey, D. K. and Schmidt, P. (1979). Some small sample properties of estimators and test statistics in the multivariate logit model. Journal of Econometrics, 10, 33–42.
Hauser, J. R. (1977). Testing the accuracy, usefulness and significance of probabilistic choice models: an information theoretic approach. Operations Research, 26, 406–421.
Hausman, J. A. and Wise, D. A. (1978). A conditional probit model for qualitative choice: discrete decisions recognizing interdependence and heterogeneous preferences. Econometrica, 46, 403–426.
Heckman, J. (1974). Shadow prices, market wages, and labor supply. Econometrica, 42, 679–694.
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. (1978). Dummy endogenous variables in a simultaneous equation system. Econometrica, 47, 153–161.
Heckman, J. (1979). Sample bias as specification error. Econometrica, 47, 153–162.
Hurd, M. (1979). Estimation in truncated samples when there is heteroscedasticity. Journal of Econometrics, 11, 247–258.
Judge, G. G., Griffiths, W. E., Hill, R. C, Lee, T. C. (1980). The Theory and Practice of Econometrics. New York: Wiley.
Kahn, L. M. and Morimune, K. (1979). Unions and employment stability: a sequential logit approach. International Economic Review, 20, 217–235.
Kenny, L. W., Lee, L. F., Maddala, G. S., and Trost, R. P. (1979). Returns to college education: an investigation of self-selection bias based on project talent data. International Economic Review, 20, 775–790.
Lee, L. F. (1978a). Unionism and wage rates: a simultaneous equations model with qualitative and limited dependent variables. International Economic Review, 19, 415–434.
Lee, L. F. (1978b). On the estimation of probit choice model with censored dependent variables and Amemiya’s principle. Discussion Paper 78-99, Center For Economic Research, University of Minnesota, Minneapolis.
Lee, L. F. (1979). Identification and estimation in binary choice models with limited (censored) dependent variables. Econometrica, 47, 977–996.
Lee, L. F. (1981). Fully recursive probability models and multivariate log-linear probability models for the analysis of qualitative data. Journal of Econometrics, 16, 51–70.
Lee, L. F. and Trost, R. P. (1978). Estimation of some limited dependent variable models with application to housing demand. Journal of Econometrics, 8, 357–382.
Lee, L. F., Maddala, G. S., and Trost, R. P. (1980). Asymptotic covariance matrices of two-stage probit and two-stage tobit methods for simultaneous equations models with selectivity. Econometrica, 48, 491–503.
Maddala, G. S. (1977). Econometrics. New York: McGraw-Hill.
Maddala, G. S. (1983). Limited-Dependent and Qualitative Variables in Econometrics. Cambridge: Cambridge University Press.
Maddala, G. S. and Trost, R. S. (1981). Alternative formulations of the Nerlove-Press models. Journal of Econometrics, 16, 35–50.
Manski, C. F. and McFadden, D. (1981). Structural Analysis of Discrete Data with Econometric Applications. Cambridge: The MIT Press.
McDonald, J. F. and Moffitt, R. A. (1980). The uses of tobit analysis. Review of Econo-mics and Statistics, 62, 318–321.
McFadden, D. (1974). Conditional logit analysis of qualitative choice behavior. In Frontiers in Econometrics. Edited by P. Zarembka. New York: Academic Press.
McFadden, D. (1976a). Quantal choice analysis: a survey. Annals of Economic and Social Measurement, 5, 363–390.
McFadden, D. (1976b). A comment on discriminant analysis “versus” logit analysis. Annals of Economic and Social Measurement, 5, 511–523.
McFadden (1977). Quantitative methods for analyzing travel behavior of individuals: some recent developments. Co wies Foundation Discussion Paper No. 474, New Haven.
McFadden (1978). Modelling the choice of residential location. In Spatial Interaction Theory and Residential Location. Edited by A. Karlquist, L. Lundquist, F. Snickars, and J. Weibull. North Holland, Amsterdam. Pp. 75–96.
McKelvey, R. D. and Zavonia, W. (1975). A statistical model for the analysis of ordinal level dependent variables. Journal of Mathematical Sociology, 4, 103–120.
Morimune, K. (1979). Comparisons of normal and logistic models in the bivariate dichotomous analysis. Econometrica, 47, 957–975.
Nelson, F. and Olson, L. (1978). Spécification and estimation of a simultaneous-equation model with limited dependent variables. International Economic Review, 19, 695–710.
Nerlove, M. and Press, S. J. (1973). Univariate and multivariate log-linear and logistic models. Rand Corporation, R-1306-EDA/NIH, Santa Monica, CA.
Nelson, F. D. (1981). A test for misspecification in the censored normal model. Econo-metrica, 49, 1317–1330.
Olson, R. J. (1980a). Approximating a truncated regression with the method of moments. Econometrica, 48, 1099–1106.
Olson, R. J. (1980b). A least squares correction for selectivity bias. Econometrica, 48, 1815–1820.
Pindyck, R. S. and Rubinfield, D. L. (1976). Econometric Models and Economic Fore-casts. New York: McGraw-Hill.
Poirier, D. J. and Ruud, P. A. (1981). On the appropriateness of endogenous switching. Journal of Econometrics, 16, 249–256.
Press, S. J. and Wilson, S. (1978). Choosing between logistic regression and discriminant analysis. Journal of the American Statistical Association, 73, 699–705.
Schmidt, P. (1978). Estimation of a simultaneous equations model with jointly dependent continuous and qualitative variables: the union-earnings question revisited. International Economic Review, 19, 453–466.
Schmidt, P. and Strauss, R. P. (1975a). Estimation of models with jointly dependent qualitative variables: a simultaneous logit approach. Econometrica, 43, 745–756.
Schmidt, P. and Strauss, R. P. (1975b). The prediction of occupation using multiple logit models. International Economic Review, 16, 471–486.
Tobin, J. (1958). Estimation of relationships for limited dependent variables. Econo-metrica, 26, 24–36.
Wales, T. J. and Woodland, A. D. (1980). Sample selectivity and estimation of labor supply functions. International Economic Review, 21, 437–468.
Westin, R. B. (1974). Predictions from binary choice models. Journal of Econometrics, 2, 1–16.
Zellner, A. and Lee, T. H. (1965). Joint estimation of relationships involving discrete random variables. Econometrica, 33, 382–394.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fomby, T.B., Johnson, S.R., Hill, R.C. (1984). The Analysis of Models with Qualitative or Censored Dependent Variables. In: Advanced Econometric Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8746-4_16
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8746-4_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96868-1
Online ISBN: 978-1-4419-8746-4
eBook Packages: Springer Book Archive