IDEAS home Printed from https://ideas.repec.org/p/tiu/tiutis/a7ab8987-444a-4ab0-b566-c21bd31f48b0.html
   My bibliography  Save this paper

Semi-parametric Models for Satisfaction with Income

Author

Listed:
  • Bellemare, C.

    (Tilburg University, School of Economics and Management)

  • Melenberg, B.

    (Tilburg University, School of Economics and Management)

  • van Soest, A.H.O.

    (Tilburg University, School of Economics and Management)

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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bellemare, C. & Melenberg, B. & van Soest, A.H.O., 2002. "Semi-parametric Models for Satisfaction with Income," Other publications TiSEM a7ab8987-444a-4ab0-b566-c, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:a7ab8987-444a-4ab0-b566-c21bd31f48b0
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/543243/87.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Pendakur, Krishna, 1998. "Semiparametric estimates and tests of base-independent equivalence scales," Journal of Econometrics, Elsevier, vol. 88(1), pages 1-40, November.
    3. 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.
    4. Clark, Andrew E. & Oswald, Andrew J., 1996. "Satisfaction and comparison income," Journal of Public Economics, Elsevier, vol. 61(3), pages 359-381, September.
    5. 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..
    6. Lee, Myoung-jae, 1992. "Median regression for ordered discrete response," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 59-77.
    7. 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.
    8. Browning, Martin, 1992. "Children and Household Economic Behavior," Journal of Economic Literature, American Economic Association, vol. 30(3), pages 1434-1475, September.
    9. 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.
    10. Dustmann, C. & van Soest, A.H.O., 1999. "Parametric and Semiparametric Estimation in Models with Misclassified Categorical Dependent Variables," Discussion Paper 1999-51, Tilburg University, Center for Economic Research.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    17. repec:bla:revinw:v:43:y:1997:i:3:p:319-33 is not listed on IDEAS
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. 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.
    23. 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.
    24. 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.
    25. Horowitz, Joel L, 1992. "A Smoothed Maximum Score Estimator for the Binary Response Model," Econometrica, Econometric Society, vol. 60(3), pages 505-531, May.
    26. 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.
    27. Lewbel, Arthur, 1989. "Household equivalence scales and welfare comparisons," Journal of Public Economics, Elsevier, vol. 39(3), pages 377-391, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ralf A. Wilke, 2006. "Semi-parametric estimation of consumption-based equivalence scales: the case of Germany," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 781-802.
    2. Wiebke Kuklys & Ingrid Robeyns, 2004. "Sens's Capability Approach to Welfare Economics," Papers on Strategic Interaction 2004-03, Max Planck Institute of Economics, Strategic Interaction Group.
    3. Stefan Boes, 2013. "Nonparametric analysis of treatment effects in ordered response models," Empirical Economics, Springer, vol. 44(1), pages 81-109, February.
    4. Christian Dudel & Notburga Ott & Martin Werding, 2013. "Maintaining One's Living Standard at Old Age - What Does That Mean?: Evidence Using Panel Data from Germany," SOEPpapers on Multidisciplinary Panel Data Research 563, DIW Berlin, The German Socio-Economic Panel (SOEP).
    5. 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.
    6. Dustmann C. & Van Soest A., 2004. "An Analysis of Speaking Fluency of Immigrants Using Ordered Response Models With Classification Errors," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 312-321, July.
    7. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    8. Dudel Christian & Garbuszus Jan Marvin & Ott Notburga & Werding Martin, 2017. "Matching as Non-Parametric Preprocessing for the Estimation of Equivalence Scales," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 237(2), pages 115-141, April.
    9. Christian Dudel & Julian Schmied, 2019. "Pension adequacy standards: an empirical estimation strategy and results for the United States and Germany," MPIDR Working Papers WP-2019-003, Max Planck Institute for Demographic Research, Rostock, Germany.
    10. Martin Biewen & Andos Juhasz, 2017. "Direct Estimation of Equivalence Scales and More Evidence on Independence of Base," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(5), pages 875-905, October.
    11. Stefan Boes & Rainer Winkelmann, 2006. "Ordered response models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 167-181, March.
    12. Connor, Gregory & Flavin, Thomas, 2015. "Strategic, unaffordability and dual-trigger default in the Irish mortgage market," Journal of Housing Economics, Elsevier, vol. 28(C), pages 59-75.
    13. Wiebke Kuklys, 2004. "A Monetary Approach to Capability Measurement of the Disabled - Evidence from the UK," Papers on Strategic Interaction 2004-08, Max Planck Institute of Economics, Strategic Interaction Group.
    14. Mark B. Stewart, 2009. "The Estimation Of Pensioner Equivalence Scales Using Subjective Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 55(4), pages 907-929, December.
    15. Christian Dudel & Jan Marvin Garbuszus & Notburga Ott & Martin Werding, 2014. "Non-Parametric Preprocessing for the Estimation of Equivalence Scales," CESifo Working Paper Series 5103, CESifo.
    16. Kuklys, W. & Robeyns, I., 2004. "Sen’s Capability Approach to Welfare Economics," Cambridge Working Papers in Economics 0415, Faculty of Economics, University of Cambridge.
    17. Christian Dudel & Jan Marvin Garbuszus & Julian Schmied, 2021. "Assessing differences in household needs: a comparison of approaches for the estimation of equivalence scales using German expenditure data," Empirical Economics, Springer, vol. 60(4), pages 1629-1659, April.
    18. Christian Dudel & Notburga Ott & Martin Werding, 2016. "Maintaining one’s living standard at old age: What does that mean?," Empirical Economics, Springer, vol. 51(3), pages 1261-1279, November.
    19. Gregory Connor & Thomas Flavin, 2013. "Irish Mortgage Default Optionality," Economics Department Working Paper Series n243-13.pdf, Department of Economics, National University of Ireland - Maynooth.
    20. Biewen, Martin & Juhasz, Andos, 2013. "A Goodness-of-Fit Approach to Estimating Equivalence Scales," IZA Discussion Papers 7209, Institute of Labor Economics (IZA).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Melenberg, B. & van Soest, A.H.O., 1995. "Semiparametric estimation of equivalence scales using subjective information," Discussion Paper 1995-71, Tilburg University, Center for Economic Research.
    3. Mark B. Stewart, 2009. "The Estimation Of Pensioner Equivalence Scales Using Subjective Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 55(4), pages 907-929, December.
    4. Melanie Borah & Carina Keldenich & Andreas Knabe, 2019. "Reference Income Effects in the Determination of Equivalence Scales Using Income Satisfaction Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 65(4), pages 736-770, December.
    5. Ravallion, Martin & Lokshin, Michael, 1999. "Subjective economic welfare," Policy Research Working Paper Series 2106, The World Bank.
    6. Michael Ahlheim & Ulrike Lehr, 2008. "Equity and Aggregation in Environmental Valuation," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 295/2008, Department of Economics, University of Hohenheim, Germany.
    7. Charlier, E., 1997. "Equivalence Scales for the Former West Germany," Other publications TiSEM eed8f5af-8f69-445e-94df-d, Tilburg University, School of Economics and Management.
    8. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.
    9. Chen, Le-Yu & Lee, Sokbae, 2019. "Breaking the curse of dimensionality in conditional moment inequalities for discrete choice models," Journal of Econometrics, Elsevier, vol. 210(2), pages 482-497.
    10. de Ree, Joppe & Alessie, Rob & Pradhan, Menno, 2013. "The price and utility dependence of equivalence scales: Evidence from Indonesia," Journal of Public Economics, Elsevier, vol. 97(C), pages 272-281.
    11. Ahlheim, Michael & Schneider, Friedrich, 2013. "Considering Household Size in Contingent Valuation Studies," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79974, Verein für Socialpolitik / German Economic Association.
    12. BARGAIN Olivier & DONNI Olivier, 2010. "The Measurement of Child Costs: A Rothbarth-Type Method Consistent with Scale Economies and Parents’ Bargaining," LISER Working Paper Series 2010-30, Luxembourg Institute of Socio-Economic Research (LISER).
    13. repec:hal:spmain:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    14. Shakeeb Khan & Arnaud Maurel & Yichong Zhang, 2023. "Informational Content of Factor Structures in Simultaneous Binary Response Models," Advances in Econometrics, in: Essays in Honor of Joon Y. Park: Econometric Methodology in Empirical Applications, volume 45, pages 385-410, Emerald Group Publishing Limited.
    15. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    16. repec:spo:wpmain:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    17. Horowitz, Joel L., 2004. "Semiparametric models," Papers 2004,17, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
    18. Christos Koulovatianos & Carsten Schröder, 2023. "Income-dependent equivalence scales and choice theory: implications for poverty measurement," Chapters, in: Jacques Silber (ed.), Research Handbook on Measuring Poverty and Deprivation, chapter 4, pages 39-49, Edward Elgar Publishing.
    19. Valérie Lechene, 1993. "Une revue de la littérature sur les échelles d'équivalence," Économie et Prévision, Programme National Persée, vol. 110(4), pages 169-182.
    20. repec:spo:wpecon:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    21. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    22. repec:hal:wpspec:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    23. Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76, Elsevier.
    24. Chen, Songnian & Khan, Shakeeb, 2003. "Rates of convergence for estimating regression coefficients in heteroskedastic discrete response models," Journal of Econometrics, Elsevier, vol. 117(2), pages 245-278, December.

    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiutis:a7ab8987-444a-4ab0-b566-c21bd31f48b0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: https://www.tilburguniversity.edu/about/schools/economics-and-management/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.