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Econometric Analysis of Ratings: With an Application to Health and Wellbeing

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  • Raphael Studer
  • Rainer Winkelmann

Abstract

We propose a new non-linear regression model for rating dependent variables. The rating scale model accounts for the upper and lower bounds of ratings. Parametric and semi-parametric estimation is discussed. An application investigates the relationship between stated health satisfaction and physical and mental health scores derived from self-reports of various health impairments, using data from the German Socio-Economic Panel. We compare our new approach to modeling ratings with ordinary least squares (OLS). In one specification, OLS average effects exceed that from our rating scale model by up to 50 percent. Also, OLS in-sample mean predictions violate the upper bound of the dependent variable in a number of cases.

Suggested Citation

  • Raphael Studer & Rainer Winkelmann, 2016. "Econometric Analysis of Ratings: With an Application to Health and Wellbeing," SOEPpapers on Multidisciplinary Panel Data Research 846, DIW Berlin, The German Socio-Economic Panel (SOEP).
    • Handle: RePEc:diw:diwsop:diw_sp846
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    Cited by:

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    2. Setareh Ranjbar & Stefan Sperlich, 2020. "A Note on Empirical Studies of Life-Satisfaction: Unhappy with Semiparametrics?," Journal of Happiness Studies, Springer, vol. 21(6), pages 2193-2212, August.
    3. Stefano Costa & Federico Sallusti & Claudio Vicarelli & Davide Zurlo, 2022. "From Micro to Macro: Micro-Foundations of the Italian Business Cycle Co-movements During the Crises," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 8(3), pages 499-522, November.
    4. Annika Luisa Hofmann & Miguel Ferreira & João Lampreia, 2017. "Case Study: DBRS Sovereign Rating of Portugal. Analysis of Rating Methodology and Rating Decisions," GEE Papers 0073, Gabinete de Estratégia e Estudos, Ministério da Economia, revised Jul 2017.
    5. Anil Özdemir & Helmut Dietl & Giambattista Rossi & Robert Simmons, 2020. "Are Workers Rewarded for Inconsistent Performance?," Working Papers 386, University of Zurich, Department of Business Administration (IBW).

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    More about this item

    Keywords

    Quasi maximum likelihood; bounded dependent variable; German Socio-Economic Panel;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • I10 - Health, Education, and Welfare - - Health - - - General

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