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"...
- Autores:
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- Universidad Católica de Pereira
- Repositorio:
- Repositorio Institucional - RIBUC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.ucp.edu.co:10785/11582
- Acceso en línea:
- https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860
http://hdl.handle.net/10785/11582
- Palabra clave:
- Rights
- openAccess
- License
- Derechos de autor 2019 Revista Gestión y Región
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2022-06-01T19:55:16Z2022-06-01T19:55:16Z2019-08-03https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860http://hdl.handle.net/10785/11582This 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.application/pdfspaUniversidad Católica de Pereirahttps://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_abf2Revista Gestión y Región; Núm. 12 (2011); 67-882216-11391900-9771Structuring 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 financieroArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionCruz Trejos, Eduardo ArturoHernández, Sergio AristizábalPublication10785/11582oai:repositorio.ucp.edu.co:10785/115822025-01-27 18:59:46.038https://creativecommons.org/licenses/by-nc/4.0/deed.es_ESDerechos de autor 2019 Revista Gestión y Regiónmetadata.onlyhttps://repositorio.ucp.edu.coRepositorio Institucional de la Universidad Católica de Pereira - RIBUCbdigital@metabiblioteca.com |
| dc.title.eng.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 |
| dc.title.spa.fl_str_mv |
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 |
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2019-08-03 |
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2022-06-01T19:55:16Z |
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2022-06-01T19:55:16Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860 |
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http://hdl.handle.net/10785/11582 |
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https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860 http://hdl.handle.net/10785/11582 |
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spa |
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spa |
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https://revistas.ucp.edu.co/index.php/gestionyregion/article/view/860/852 |
| dc.rights.spa.fl_str_mv |
Derechos de autor 2019 Revista Gestión y Región https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES |
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https://creativecommons.org/licenses/by-nc/4.0/deed.es_ES |
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info:eu-repo/semantics/openAccess |
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http://purl.org/coar/access_right/c_abf2 |
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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 |
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openAccess |
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application/pdf |
| dc.publisher.spa.fl_str_mv |
Universidad Católica de Pereira |
| dc.source.spa.fl_str_mv |
Revista Gestión y Región; Núm. 12 (2011); 67-88 |
| dc.source.none.fl_str_mv |
2216-1139 1900-9771 |
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Universidad Católica de Pereira |
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Repositorio Institucional de la Universidad Católica de Pereira - RIBUC |
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bdigital@metabiblioteca.com |
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1828143329332690944 |