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Comparison of methods in the analysis of dependent ordered catagorical data


  • Högberg, Hans

    () (Centre for Research and Development, Uppsala University and Country,Council of Gävleborg, Sweden)

  • Svensson, Elisabeth

    () (Department of Business, Economics, Statistics and Informatics)


Rating scales for outcome variables produce categorical data which are often ordered and measurements from rating scales are not standardized. The purpose of this study is to apply commonly used and novel methods for paired ordered categorical data to two data sets with different properties and to compare the results and the conditions for use of these models. The two applications consist of a data set of inter-rater reliability and a data set from a follow-up evaluation of patients. Standard measures of agreement and measures of association are used. Various loglinear models for paired categorical data using properties of quasi-independence and quasi-symmetry as well as logit models with a marginal modelling approach are used. A nonparametric method for ranking and analyzing paired ordered categorical data is also used. We show that a deeper insight when it comes to disagreement and change patterns may be reached using the nonparametric method and illustrate some problems with standard measures as well as parametric loglinear and logit models. In addition, the merits of the nonparametric method are illustrated.

Suggested Citation

  • Högberg, Hans & Svensson, Elisabeth, 2008. "Comparison of methods in the analysis of dependent ordered catagorical data," Working Papers 2008:6, Örebro University, School of Business.
  • Handle: RePEc:hhs:oruesi:2008_006

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    References listed on IDEAS

    1. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
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    3. Christopher A. Pissarides, 2002. "Consumption and Savings with Unemployment Risk: Implications for Optimal Employment Contracts," CEP Discussion Papers dp0542, Centre for Economic Performance, LSE.
    4. Davis, Steven J. & Haltiwanger, John, 1999. "Gross job flows," Handbook of Labor Economics,in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 41, pages 2711-2805 Elsevier.
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    More about this item


    Agreement:ordinal data; ranking; reliability.rating scales;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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