Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables

The present work offers some fundamental concepts of the Statistical Implicative Analysis for modal variables and proposes an index to establish the similarity between two modal variables. Expressions to calculate typicality and contribution of the individuals to the classes that are formed in the c...

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Autores:
Zamora-Matamoros, Larisa
Díaz-Silvera, Jorge Rey
Portuondo-Mallet, Lariza
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66529
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66529
http://bdigital.unal.edu.co/67557/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Classificatory Analysis
Typicality
Contribution
Modal Variables
Análisis clasificatorio
Tipicalidad
Contribución
Variables modales.
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_abf2Zamora-Matamoros, Larisab7734140-318c-4eab-b7c4-1fb7a4309ac9300Díaz-Silvera, Jorge Reyf05c0e55-4b0e-417f-9f4e-f72eae0fc095300Portuondo-Mallet, Lariza44dc279d-1eaa-4e8a-a398-894f5d6e4a8a3002019-07-03T02:18:38Z2019-07-03T02:18:38Z2015-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66529http://bdigital.unal.edu.co/67557/The present work offers some fundamental concepts of the Statistical Implicative Analysis for modal variables and proposes an index to establish the similarity between two modal variables. Expressions to calculate typicality and contribution of the individuals to the classes that are formed in the classification are also presented. This technique is illustrated by two examples, one with binary data, which allows  the coincidence between the formulas presented and the existent for the binary case to be shown, and the other for modal data with more than two modalities.En el presente trabajo se ofrecen algunos conceptos fundamentales del análisis estadístico implicativo para el caso de variables modales y se propone un índice para establecer la similaridad entre dos variables modales, así como expresiones para el cálculo de la tipicalidad y contribución de los individuos a las clases que se forman en la clasificación. Con el objetivo de ilustrar la técnica presentada, es aplicada a dos juegos de datos, uno binario, el cual permite mostrar numéricamente la coincidencia de las fórmulas presentadas con las existentes para el caso de variables binarias, y otro modal con más de dos modalidades.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/51664Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaZamora-Matamoros, Larisa and Díaz-Silvera, Jorge Rey and Portuondo-Mallet, Lariza (2015) Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables. Revista Colombiana de Estadística, 38 (2). pp. 335-351. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsClassificatory AnalysisTypicalityContributionModal VariablesAnálisis clasificatorioTipicalidadContribuciónVariables modales.Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal VariablesArtículo 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/ARTORIGINAL51664-253052-1-PB.pdfapplication/pdf10680715https://repositorio.unal.edu.co/bitstream/unal/66529/1/51664-253052-1-PB.pdf4bd44ca575c5754490f5c20de66763c4MD51THUMBNAIL51664-253052-1-PB.pdf.jpg51664-253052-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5425https://repositorio.unal.edu.co/bitstream/unal/66529/2/51664-253052-1-PB.pdf.jpg92a3200dcd2ff5e964f43d016f5f5976MD52unal/66529oai:repositorio.unal.edu.co:unal/665292023-05-25 23:03:06.713Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
title Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
spellingShingle Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Classificatory Analysis
Typicality
Contribution
Modal Variables
Análisis clasificatorio
Tipicalidad
Contribución
Variables modales.
title_short Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
title_full Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
title_fullStr Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
title_full_unstemmed Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
title_sort Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables
dc.creator.fl_str_mv Zamora-Matamoros, Larisa
Díaz-Silvera, Jorge Rey
Portuondo-Mallet, Lariza
dc.contributor.author.spa.fl_str_mv Zamora-Matamoros, Larisa
Díaz-Silvera, Jorge Rey
Portuondo-Mallet, Lariza
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
Classificatory Analysis
Typicality
Contribution
Modal Variables
Análisis clasificatorio
Tipicalidad
Contribución
Variables modales.
dc.subject.proposal.spa.fl_str_mv Classificatory Analysis
Typicality
Contribution
Modal Variables
Análisis clasificatorio
Tipicalidad
Contribución
Variables modales.
description The present work offers some fundamental concepts of the Statistical Implicative Analysis for modal variables and proposes an index to establish the similarity between two modal variables. Expressions to calculate typicality and contribution of the individuals to the classes that are formed in the classification are also presented. This technique is illustrated by two examples, one with binary data, which allows  the coincidence between the formulas presented and the existent for the binary case to be shown, and the other for modal data with more than two modalities.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:18:38Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:18:38Z
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
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66529
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67557/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66529
http://bdigital.unal.edu.co/67557/
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/51664
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 Zamora-Matamoros, Larisa and Díaz-Silvera, Jorge Rey and Portuondo-Mallet, Lariza (2015) Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables. Revista Colombiana de Estadística, 38 (2). pp. 335-351. 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
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66529/1/51664-253052-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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