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Linear-Angle correlation plots: New graphs for revealing correlation structure
dc.contributor.author | Graffelman, Jan |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa |
dc.date.accessioned | 2013-04-04T07:23:09Z |
dc.date.created | 2013-03-27 |
dc.date.issued | 2013-03-27 |
dc.identifier.citation | Graffelman, J. Linear-Angle correlation plots: New graphs for revealing correlation structure. "Journal of computational and graphical statistics", 27 Març 2013, vol. 22, núm. 1, p. 92-106. |
dc.identifier.issn | 1061-8600 |
dc.identifier.uri | http://hdl.handle.net/2117/18594 |
dc.description.abstract | In multivariate graphics, correlations between variables are often approximated by the cosines of the angles between vectors. In practice, it is difficult to reliably estimate correlations from such displays by eye. In this article, we therefore develop new graphs, called linear-angle correlation plots, that have a linear relationship between correlation and angle, and from which correlation coefficients are read off more easily. Several multivariate datasets are used to illustrate the proposed graphs. The goodness-of-fit properties of the new graphs are compared with standard multivariate methods such as principal component analysis and principal factor analysis. Cosine-based plots typically gave the poorest approximation to the correlation matrix. A linear interpretation rule for the angle often improved the fit. The best fit was generally obtained by principal factor analysis using scalar products to approximate correlations |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Economia i organització d'empreses |
dc.subject.lcsh | Statistics |
dc.title | Linear-Angle correlation plots: New graphs for revealing correlation structure |
dc.type | Article |
dc.subject.lemac | Estadística |
dc.contributor.group | Universitat Politècnica de Catalunya. LIAM - Laboratori de Modelització i Anàlisi de la Informació |
dc.identifier.doi | 10.1080/15533174.2012.707850 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://dx.doi.org/10.1080/15533174.2012.707850 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 11803929 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Graffelman, J. |
local.citation.publicationName | Journal of computational and graphical statistics |
local.citation.volume | 22 |
local.citation.number | 1 |
local.citation.startingPage | 92 |
local.citation.endingPage | 106 |
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