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Semi-parametric models for satisfaction with income

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  • Charles Bellemare
  • Bertrand Melenberg
  • Arthur van Soest van Soest

Abstract

An overview is presented of some parametric and semi-parametric models, estimators, and specification tests that can be used to analyze ordered response variables. In particular, limited dependent variable models that generalize ordered probit are compared to regression models that generalize the linear model. These techniques are then applied to analyze how self-reported satisfaction with household income relates to household income, family composition, and other background variables. Data are drawn from the 1998 wave of the German Socio- Economic Panel. The results are used to estimate equivalence scales and the cost of children. We find that the standard ordered probit model is rejected, while some semi-parametric specifications survive specification tests against nonparametric alternatives. The estimated equivalence scales, however, are often similar for the parametric and semi-parametric specifications.

Suggested Citation

  • Charles Bellemare & Bertrand Melenberg & Arthur van Soest van Soest, 2002. "Semi-parametric models for satisfaction with income," CeMMAP working papers 12/02, Institute for Fiscal Studies.
    • Handle: RePEc:azt:cemmap:12/02
    DOI: 10.1920/wp.cem.2002.1202
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    1. Pollak, Robert A & Wales, Terence J, 1979. "Welfare Comparisons and Equivalence Scales," American Economic Review, American Economic Association, vol. 69(2), pages 216-221, May.
    2. Clark, Andrew E. & Oswald, Andrew J., 1996. "Satisfaction and comparison income," Journal of Public Economics, Elsevier, vol. 61(3), pages 359-381, September.
    3. Melenberg, Bertrand & van Soest, Arthur, 1996. "Parametric and Semi-parametric Modelling of Vacation Expenditures," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 59-76, Jan.-Feb..
    4. Dustmann, C. & van Soest, A.H.O., 1999. "Parametric and Semiparametric Estimation in Models with Misclassified Categorical Dependent Variables," Other publications TiSEM dfb6b8e3-5319-47c7-a998-9, Tilburg University, School of Economics and Management.
    5. Lee, Myoung-jae, 1992. "Median regression for ordered discrete response," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 59-77.
    6. B. Melenberg & A. H. O. van Soest, 1996. "Measuring the costs of children: parametric and semiparametric estimators1," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 50(1), pages 171-192, March.
    7. Horowitz, Joel L., 1993. "Semiparametric estimation of a work-trip mode choice model," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 49-70, July.
    8. Kapteyn, Arie, 1994. "The Measurement of Household Cost Functions: Revealed Preference versus Subjective Measures," Journal of Population Economics, Springer;European Society for Population Economics, vol. 7(4), pages 333-350, November.
    9. van Praag, Bernard M. S., 1991. "Ordinal and cardinal utility : An integration of the two dimensions of the welfare concept," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 69-89, October.
    10. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    11. Melenberg, B. & van Soest, A.H.O., 1996. "Measuring the costs of children : Parametric and semiparametric estimators," Other publications TiSEM 1227b8b2-0575-4b5d-9bac-7, Tilburg University, School of Economics and Management.
    12. Härdle, Wolfgang & Huet, Sylvie & Mammen, Enno & Sperlich, Stefan, 2004. "Bootstrap Inference In Semiparametric Generalized Additive Models," Econometric Theory, Cambridge University Press, vol. 20(2), pages 265-300, April.
    13. Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-531, May.
    14. Klaas de Vos & M. Asghar Zaidi, 1997. "Equivalence Scale Sensitivity Of Poverty Statistics For The Member States Of The European Community," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(3), pages 319-333, September.
    15. repec:bla:revinw:v:43:y:1997:i:3:p:319-33 is not listed on IDEAS
    16. Arie Kapteyn & Peter Kooreman & Rob Willemse, 1988. "Some Methodological Issues in the Implementation of Subjective Poverty Definitions," Journal of Human Resources, University of Wisconsin Press, vol. 23(2), pages 222-242.
    17. Browning, Martin, 1992. "Children and Household Economic Behavior," Journal of Economic Literature, American Economic Association, vol. 30(3), pages 1434-1475, September.
    18. Roger W. Klein & Robert P. Sherman, 2002. "Shift Restrictions and Semiparametric Estimation in Ordered Response Models," Econometrica, Econometric Society, vol. 70(2), pages 663-691, March.
    19. Powell, James L & Stock, James H & Stoker, Thomas M, 1989. "Semiparametric Estimation of Index Coefficients," Econometrica, Econometric Society, vol. 57(6), pages 1403-1430, November.
    20. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
    21. Horowitz, Joel L, 2001. "Nonparametric Estimation of a Generalized Additive Model with an Unknown Link Function," Econometrica, Econometric Society, vol. 69(2), pages 499-513, March.
    22. Chesher, Andrew & Irish, Margaret, 1987. "Residual analysis in the grouped and censored normal linear model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 33-61.
    23. Erwin Charlier, 2002. "Equivalence Scales in an Intertemporal Setting with an Application to the Former West Germany," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(1), pages 99-126, March.
    24. Han, Aaron K., 1987. "Non-parametric analysis of a generalized regression model : The maximum rank correlation estimator," Journal of Econometrics, Elsevier, vol. 35(2-3), pages 303-316, July.
    25. Fan, Yanqin & Li, Qi, 1996. "Consistent Model Specification Tests: Omitted Variables and Semiparametric Functional Forms," Econometrica, Econometric Society, vol. 64(4), pages 865-890, July.
    26. Pendakur, Krishna, 1998. "Semiparametric estimates and tests of base-independent equivalence scales," Journal of Econometrics, Elsevier, vol. 88(1), pages 1-40, November.
    27. Nelson, Julie A, 1993. "Household Equivalence Scales: Theory versus Policy?," Journal of Labor Economics, University of Chicago Press, vol. 11(3), pages 471-493, July.
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    1. Stanislaw Maciej Kot, 2023. "Equivalence scales for continuous distributions of expenditure," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 18(1), pages 185-218, March.

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