A Methodology for Biplots Based on Bootstrapping with R

A biplot is a graphical representation of two-mode multivariate data based on markers for rows and columns often provided in a two-dimensional space. These markers define parameters that help to interpret goodness of fit, quality of the representation and variability and relationships between variab...

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Autores:
Nieto, Ana B.
Galindo, M. Purificación
Leiva, Víctor
Vicente-Galindo, Purificación
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66560
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66560
http://bdigital.unal.edu.co/67588/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bootstrap Confidence Interval
Graphical Methods
Multivariate Data
Quantiles
Software
Cuantiles
Datos multivariantes
Intervalos de confianza bootstrap
Métodos gráficos
Software.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Nieto, Ana B.d4afbb4f-2fb0-423d-8ddb-7e99bd85df8e300Galindo, M. Purificaciónd6b71a60-6a09-4887-870f-df737d52659a300Leiva, Víctor8dc4aa79-15b4-4044-b524-54da08567f49300Vicente-Galindo, Purificación4c89e43e-764a-42e5-a250-eb4b8b85e1af3002019-07-03T02:22:27Z2019-07-03T02:22:27Z2014-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66560http://bdigital.unal.edu.co/67588/A biplot is a graphical representation of two-mode multivariate data based on markers for rows and columns often provided in a two-dimensional space. These markers define parameters that help to interpret goodness of fit, quality of the representation and variability and relationships between variables. However, such parameters are estimated as point values by the biplot, thus no information on the accuracy of the corresponding estimators is obtained. We propose a graphical methodology, that may be considered as an inferential version of a biplot, based on bootstrap confidence intervals for the mentioned parameters. We implement our methodology in an R package and validate it with simulated and real-world data.Un biplot es una representación gráfica de datos multivariantes de dos vías basada en marcadores para filas y columnas proporcionada usualmente en un espacio bidimensional. Estos marcadores definen parámetros que ayudan a interpretar bondad de ajuste, calidad de representación y variabilidad y relaciones entre variables. Sin embargo, tales parámetros son estimados puntualmente en el biplot, sin proporcionar información acerca de la precisión de los estimadores. Se propone una metodología gráfica, que puede ser considerada como una versión inferencial de un biplot, basada en intervalos de confianza bootstrap para los parámetros mencionados. La metodología es implementada en un paquete R y validada con datos simulados y reales.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/47944Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaNieto, Ana B. and Galindo, M. Purificación and Leiva, Víctor and Vicente-Galindo, Purificación (2014) A Methodology for Biplots Based on Bootstrapping with R. Revista Colombiana de Estadística, 37 (2Spe). pp. 367-397. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsBootstrap Confidence IntervalGraphical MethodsMultivariate DataQuantilesSoftwareCuantilesDatos multivariantesIntervalos de confianza bootstrapMétodos gráficosSoftware.A Methodology for Biplots Based on Bootstrapping with RArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL47944-235817-1-PB.pdfapplication/pdf1517664https://repositorio.unal.edu.co/bitstream/unal/66560/1/47944-235817-1-PB.pdf17fc3909466d7b58646e2a5b51872270MD51THUMBNAIL47944-235817-1-PB.pdf.jpg47944-235817-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5363https://repositorio.unal.edu.co/bitstream/unal/66560/2/47944-235817-1-PB.pdf.jpgeeffdf50a2b7f4d762e958ab1087f603MD52unal/66560oai:repositorio.unal.edu.co:unal/665602023-05-25 23:03:12.085Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A Methodology for Biplots Based on Bootstrapping with R
title A Methodology for Biplots Based on Bootstrapping with R
spellingShingle A Methodology for Biplots Based on Bootstrapping with R
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bootstrap Confidence Interval
Graphical Methods
Multivariate Data
Quantiles
Software
Cuantiles
Datos multivariantes
Intervalos de confianza bootstrap
Métodos gráficos
Software.
title_short A Methodology for Biplots Based on Bootstrapping with R
title_full A Methodology for Biplots Based on Bootstrapping with R
title_fullStr A Methodology for Biplots Based on Bootstrapping with R
title_full_unstemmed A Methodology for Biplots Based on Bootstrapping with R
title_sort A Methodology for Biplots Based on Bootstrapping with R
dc.creator.fl_str_mv Nieto, Ana B.
Galindo, M. Purificación
Leiva, Víctor
Vicente-Galindo, Purificación
dc.contributor.author.spa.fl_str_mv Nieto, Ana B.
Galindo, M. Purificación
Leiva, Víctor
Vicente-Galindo, Purificación
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bootstrap Confidence Interval
Graphical Methods
Multivariate Data
Quantiles
Software
Cuantiles
Datos multivariantes
Intervalos de confianza bootstrap
Métodos gráficos
Software.
dc.subject.proposal.spa.fl_str_mv Bootstrap Confidence Interval
Graphical Methods
Multivariate Data
Quantiles
Software
Cuantiles
Datos multivariantes
Intervalos de confianza bootstrap
Métodos gráficos
Software.
description A biplot is a graphical representation of two-mode multivariate data based on markers for rows and columns often provided in a two-dimensional space. These markers define parameters that help to interpret goodness of fit, quality of the representation and variability and relationships between variables. However, such parameters are estimated as point values by the biplot, thus no information on the accuracy of the corresponding estimators is obtained. We propose a graphical methodology, that may be considered as an inferential version of a biplot, based on bootstrap confidence intervals for the mentioned parameters. We implement our methodology in an R package and validate it with simulated and real-world data.
publishDate 2014
dc.date.issued.spa.fl_str_mv 2014-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:22:27Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:22:27Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
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dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66560
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67588/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66560
http://bdigital.unal.edu.co/67588/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/estad/article/view/47944
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Nieto, Ana B. and Galindo, M. Purificación and Leiva, Víctor and Vicente-Galindo, Purificación (2014) A Methodology for Biplots Based on Bootstrapping with R. Revista Colombiana de Estadística, 37 (2Spe). pp. 367-397. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
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