Ratio maps and correspondence analysis

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Greenacre, Michael. Ratio maps and correspondence analysis. 2002
http://hdl.handle.net/10230/1233
To cite or link this document: http://hdl.handle.net/10230/1233
dc.contributor.author Greenacre, Michael
dc.contributor.other Universitat Pompeu Fabra. Departament d'Economia i Empresa
dc.date.issued 2002-01-01
dc.identifier.uri http://hdl.handle.net/10230/1233
dc.description.abstract We compare two methods for visualising contingency tables and develop a method called the ratio map which combines the good properties of both. The first is a biplot based on the logratio approach to compositional data analysis. This approach is founded on the principle of subcompositional coherence, which assures that results are invariant to considering subsets of the composition. The second approach, correspondence analysis, is based on the chi-square approach to contingency table analysis. A cornerstone of correspondence analysis is the principle of distributional equivalence, which assures invariance in the results when rows or columns with identical conditional proportions are merged. Both methods may be described as singular value decompositions of appropriately transformed matrices. Correspondence analysis includes a weighting of the rows and columns proportional to the margins of the table. If this idea of row and column weights is introduced into the logratio biplot, we obtain a method which obeys both principles of subcompositional coherence and distributional equivalence.
dc.language.iso eng
dc.relation.ispartofseries Economics and Business Working Papers Series; 598
dc.rights L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.title Ratio maps and correspondence analysis
dc.type info:eu-repo/semantics/workingPaper
dc.date.modified 2014-06-03T07:14:06Z
dc.subject.keyword Statistics, Econometrics and Quantitative Methods
dc.subject.keyword biplot
dc.subject.keyword compositional data
dc.subject.keyword contingency tables
dc.subject.keyword distributional equivalence
dc.subject.keyword logratio transformation
dc.subject.keyword singular value decomposition
dc.subject.keyword subcompositional coherence
dc.rights.accessRights info:eu-repo/semantics/openAccess


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