On the comparison of group performance with categorical Data
AbstractThis 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 InfoPaper provided by Universidad Pablo de Olavide, Department of Economics in its series Working Papers with number 12.03.
Length: 16 pages
Date of creation: Sep 2012
Date of revision:
poverty; welfare loss; individual poverty measure; distributive impact of poverty;
Other versions of this item:
- Antonio Villar Notario & Carmen Herrero Blanco, 2012. "On the comparison of group performance with categorical data," Working Papers. Serie AD 2012-17, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-09-30 (All new papers)
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