Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis

This paper describes the mathematical structure of the Principal ComponentAnalysis (PCA) and an application in the metal-mechanical sector in Colombia.The analytical and numerical procedure used, is detailed to find the principalcomponents. It emphasizes in the "square matrix QR algorithm"...

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Fecha de publicación:
2019
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Universidad Católica de Pereira
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Repositorio Institucional - RIBUC
Idioma:
spa
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oai:repositorio.ucp.edu.co:10785/15279
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https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860
http://hdl.handle.net/10785/15279
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Derechos de autor 2019 Revista Gestión y Región
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oai_identifier_str oai:repositorio.ucp.edu.co:10785/15279
network_acronym_str RepoRIBUC
network_name_str Repositorio Institucional - RIBUC
repository_id_str
spelling Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysisEstructuración y aplicación del análisis de componentes principales como criterio para la determinación de los inputs y outputs a considerar en un análisis financieroThis paper describes the mathematical structure of the Principal ComponentAnalysis (PCA) and an application in the metal-mechanical sector in Colombia.The analytical and numerical procedure used, is detailed to find the principalcomponents. It emphasizes in the "square matrix QR algorithm" procedure forcalculating its own values `` and vectors which reduce the variables to beanalyzed. The Principal Component Analysis is a statistical approach thatsimplifies the subjectivity of business decision makers, through theimplementation of linear algebra and numerical analysis in reducing variables toanalyze financial studies. The financial behavior of companies in the metalmechanical sector 2009-2010 can be explained by the operating profit, noncurrent liabilities and non-operating income.Se describe la estructuración matemática del Análisis de Componentes Principales (ACP) y una aplicación en el sector metalmecánico en Colombia. Es detallado el procedimiento analítico y numérico empleado para encontrar los componentes principales. Se hace énfasis en el procedimiento “Algoritmo QR de matrices cuadradas” para el cálculo de valores y vectores propios que reduce las variables a analizar. El Análisis de Componentes Principales es un criterio estadístico que simplifica la subjetividad de los tomadores de decisiones empresariales, gracias a la aplicación del álgebra lineal y el análisis numérico en la reducción de variables a analizar en los estudios financieros. El comportamiento financiero de las empresas del sector metalmecánico 2009-2010 puede ser explicado por la Utilidad operacional, Pasivo no Corriente e Ingresos no operacionales.Universidad Católica de Pereira2023-08-30T00:49:29Z2023-08-30T00:49:29Z2019-08-03Artículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_2df8fbb1application/pdfhttps://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860http://hdl.handle.net/10785/15279Revista Gestión y Región; Núm. 12 (2011); 67-882216-11391900-9771spahttps://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860/852Derechos de autor 2019 Revista Gestión y Regiónhttps://creativecommons.org/licenses/by-nc/4.0/deed.es_EShttps://creativecommons.org/licenses/by-nc/4.0/deed.es_ESinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Cruz Trejos, Eduardo ArturoHernández, Sergio Aristizábaloai:repositorio.ucp.edu.co:10785/152792025-01-27T23:58:16Z
dc.title.none.fl_str_mv Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
Estructuración y aplicación del análisis de componentes principales como criterio para la determinación de los inputs y outputs a considerar en un análisis financiero
title Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
spellingShingle Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
title_short Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
title_full Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
title_fullStr Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
title_full_unstemmed Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
title_sort Structuring and implementation of the principal components analysis as criteria for determining the inputs and outputs to be considered in a financial analysis
description This paper describes the mathematical structure of the Principal ComponentAnalysis (PCA) and an application in the metal-mechanical sector in Colombia.The analytical and numerical procedure used, is detailed to find the principalcomponents. It emphasizes in the "square matrix QR algorithm" procedure forcalculating its own values `` and vectors which reduce the variables to beanalyzed. The Principal Component Analysis is a statistical approach thatsimplifies the subjectivity of business decision makers, through theimplementation of linear algebra and numerical analysis in reducing variables toanalyze financial studies. The financial behavior of companies in the metalmechanical sector 2009-2010 can be explained by the operating profit, noncurrent liabilities and non-operating income.
publishDate 2019
dc.date.none.fl_str_mv 2019-08-03
2023-08-30T00:49:29Z
2023-08-30T00:49:29Z
dc.type.none.fl_str_mv Artículo de revista
http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/version/c_970fb48d4fbd8a85
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860
http://hdl.handle.net/10785/15279
url https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860
http://hdl.handle.net/10785/15279
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860/852
dc.rights.none.fl_str_mv Derechos de autor 2019 Revista Gestión y Región
https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES
https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES
info:eu-repo/semantics/openAccess
http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Derechos de autor 2019 Revista Gestión y Región
https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Católica de Pereira
publisher.none.fl_str_mv Universidad Católica de Pereira
dc.source.none.fl_str_mv Revista Gestión y Región; Núm. 12 (2011); 67-88
2216-1139
1900-9771
institution Universidad Católica de Pereira
repository.name.fl_str_mv
repository.mail.fl_str_mv
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