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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2012-17.
Length: 20 pages
Date of creation: Aug 2012
Date of revision:
Publication status: Published by Ivie
group comparisons; categorical data; dominance relationships; relative advantage; worth of a group;
Other versions of this item:
- Carmen Herrero & Antonio Villar, 2012. "On the comparison of group performance with categorical Data," Working Papers 12.03, Universidad Pablo de Olavide, Department of Economics.
- 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-2012-08-23 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Roberto Serrano, 2004.
"The Measurement of Intellectual Influence: the Views of a Sceptic,"
2004-02, Brown University, Department of Economics.
- 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.
- Coral del Río & Olga Alonso-Villar, 2011.
"Occupational Segregation Measures: A Role for Status,"
1103, Universidade de Vigo, Departamento de Economía Aplicada.
- 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.
- repec:ebl:ecbull:v:1:y:2004:i:3:p:1-6 is not listed on IDEAS
- 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.
- Gaston Yalonetzky, 2010. "A Dissimilarity Index of Multidimensional Inequality of Opportunity (Revised and Updated)," OPHI Working Papers ophiwp0039, Queen Elizabeth House, University of Oxford.
- 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.
- 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).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Departamento de Edición).
If references are entirely missing, you can add them using this form.