6533b873fe1ef96bd12d4cfb
RESEARCH PRODUCT
The measurement of rank mobility
Marcello D'agostinoValentino Dardanonisubject
Economics and EconometricsIndex (economics)Rank mobilityRank (linear algebra)Partial matricesPartial permutationjel:D63Spearman's indexjel:D31Characterization (mathematics)Social mobilityCombinatoricsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONStatisticsConcordanceMobility measurement Concordance Partial matrices Sperman's index.Rank mobility; Mobility measurement; Concordance; Partial matrices; Spearman's indexOrder (group theory)Special caseMobility measurementPartially ordered setMathematicsdescription
Abstract In this paper we investigate the problem of measuring social mobility when the social status of individuals is given by their rank. In order to sensibly represent the rank mobility of subgroups within a given society, we address the problem in terms of partial permutation matrices which include standard (“global”) matrices as a special case. We first provide a characterization of a partial ordering on partial matrices which, in the standard case of global matrices, coincides with the well-known “concordance” ordering. We then provide a characterization of an index of rank mobility based on partial matrices and show that, in the standard case of comparing global matrices, it is equivalent to Spearman's ρ index.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 |