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On the comparison of group performance with categorical Data

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Author Info

  • Carmen Herrero

    ()
    (Universidad de Alicante; IVIE; IAE)

  • Antonio Villar

    ()
    (Department of Economics, Universidad Pablo de Olavide; IVIE)

Abstract

This paper provides a criterion to evaluate the overall performance of a given number of groups whose members can be of different types, out of the analysis of their relative frequencies. Assuming that types can be ordered from best to worse, the starting point is that of dominance relations in pair-wise comparisons. We say that group i dominates group j when the expected type of a member of i is higher than the expected type of a member of j. To extend this principle to multi-group comparisons we introduce the notion of relative advantage of a group and show that there is a unique evaluation function that ranks consistently all groups in terms of this criterion. This function associates, to each evaluation problem, the (unique) dominant eigenvector of a matrix whose entries describe the dominance relations between groups in pairwise comparisons. An application to education illustrates the working of this model.

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Bibliographic Info

Paper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 12.03.

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Length: 16 pages
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:pab:wpaper:12.03

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Related research

Keywords: poverty; welfare loss; individual poverty measure; distributive impact of poverty;

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  1. Gaston Yalonetzky, 2010. "A Dissimilarity Index of Multidimensional Inequality of Opportunity (Revised and Updated)," OPHI Working Papers ophiwp0039, Queen Elizabeth House, University of Oxford.
  2. Roberto Serrano, 2004. "The Measurement of Intellectual Influence: the Views of a Sceptic," Economics Working Papers 0040, Institute for Advanced Study, School of Social Science.
  3. Laband, David N & Piette, Michael J, 1994. "The Relative Impacts of Economics Journals: 1970-1990," Journal of Economic Literature, American Economic Association, vol. 32(2), pages 640-66, June.
  4. repec:ebl:ecbull:v:1:y:2004:i:3:p:1-6 is not listed on IDEAS
  5. Coral del Río & Olga Alonso-Villar, 2010. "Occupational segregation measures: A role for status," Working Papers 167, ECINEQ, Society for the Study of Economic Inequality.
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Cited by:
  1. Tugce Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," Discussion Paper Series, Department of Economics 201308, Department of Economics, University of St. Andrews.
  2. Ildefonso Méndez Martínez & Antonio Villar Notario & Carmen Herrero Blanco, 2013. "Analysis of group performance with categorical data when agents are heterogeneous: The case of compulsory education in the OECD," Working Papers. Serie AD 2013-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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