On the Comparison of Group Performance with Categorical Data

Carmen Herrero and Antonio Villar

PLOS ONE, 2013, vol. 8, issue 12, 1-7

Abstract: There are many different evaluation problems that involve several groups (societies, firms or institutions) whose members can be classified into ordered categories, pursuant to their characteristics or their achievements. This paper addresses these types of problems and provides an evaluation criterion based on the distribution of the agents across categories. The starting point is that of dominance relations in pair-wise comparisons. We say that group i dominates group j when the expected category of a member of i is higher than the expected category of a member of j. We introduce the notion of relative advantage of a group to extend this principle to multi-group comparisons and show that there is a unique evaluation function that ranks all groups consistently 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 pair-wise comparisons. The working of the model is illustrated by means of three different applications.

Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

Downloads: (external link)
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0084784 (text/html)
https://journals.plos.org/plosone/article/file?id= ... 84784&type=printable (application/pdf)

Related works:
Working Paper: On the comparison of group performance with categorical data (2012)
Working Paper: On the comparison of group performance with categorical Data (2012)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0084784

DOI: 10.1371/journal.pone.0084784

Access Statistics for this article

More articles in PLOS ONE from Public Library of Science
Bibliographic data for series maintained by plosone ().