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Exploring partial order of European countries

Author

Listed:
  • Paola Annoni

    (Department of Economics, Business and Statistics, University of Milan, Italy)

  • Rainer Brüggemann

    (Institute for Fresh Water Ecology and Inland Fisheries, Berlin, Germany)

Abstract

Partial Order Theory has been recently more and more employed in applied science to overcome the intrinsic disadvantage hidden in linear ranking, if a multiple indicator system is available. Despite its numerous positive features, there are many practical cases where the interpretation of the partial order can be rather troublesome. In these cases the analysis of underlying dimensions could be useful to uncover particular data structures. The paper shows a way of addressing the problem with the help of an actual case study, which deals with European opinions on services of general interest. In particular, an overall ranking of countries is firstly provided and then a method to detect dimensions is discussed and applied. The analysis stems directly from the Partially Order Set (poset) and Lattice theory with particular references to dimension theory and Formal Concept Analysis. The study is eventually able to pinpoint role and relevance of both different services and different criteria in defining the partial order.

Suggested Citation

  • Paola Annoni & Rainer Brüggemann, 2007. "Exploring partial order of European countries," UNIMI - Research Papers in Economics, Business, and Statistics unimi-1056, Universitá degli Studi di Milano.
  • Handle: RePEc:bep:unimip:unimi-1056
    Note: oai:cdlib1:unimi-1056
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    References listed on IDEAS

    as
    1. Sendhil Mullainathan & Marianne Bertrand, 2001. "Do People Mean What They Say? Implications for Subjective Survey Data," American Economic Review, American Economic Association, vol. 91(2), pages 67-72, May.
    2. Vincke, Ph., 1999. "Robust and neutral methods for aggregating preferences into an outranking relation," European Journal of Operational Research, Elsevier, vol. 112(2), pages 405-412, January.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Marco Fattore, 2016. "Partially Ordered Sets and the Measurement of Multidimensional Ordinal Deprivation," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 128(2), pages 835-858, September.
    2. Paola Annoni & Dorota Weziak-Bialowolska, 2016. "A Measure to Target Antipoverty Policies in the European Union Regions," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 11(1), pages 181-207, March.
    3. repec:spr:soinre:v:134:y:2017:i:3:d:10.1007_s11205-016-1452-9 is not listed on IDEAS
    4. Giancarlo MANZI & Pier Alda FERRARI, 2014. "Statistical methods for evaluating satisfaction with public services," CIRIEC Working Papers 1404, CIRIEC - Université de Liège.
    5. Lars Carlsen & Rainer Bruggemann, 2014. "The ‘Failed State Index’ Offers More than Just a Simple Ranking," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 115(1), pages 525-530, January.

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