Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method

Detalhes bibliográficos
Autor(a) principal: Sousa, Áurea
Data de Publicação: 2013
Outros Autores: Silva, Osvaldo, Bacelar-Nicolau, Helena, Nicolau, Fernando C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.3/2662
Resumo: This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.
id RCAP_6de71427a984b007a316695b7c3bd0e0
oai_identifier_str oai:repositorio.uac.pt:10400.3/2662
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation MethodAffinity CoefficientPearson's Correlation CoefficientMonte Carlo Simulation MethodProbability LawsThis journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.The affinity coefficient and its extensions have both been used in hierarchical and non-hierarchical Cluster Analysis. The purpose of the present empirical study on the distribution of the basic and the generalized affinity coefficients and on the distribution of the standardized affinity coefficient, by the method of Wald and Wolfowitz, under different assumptions, is to assess the effect of the statistical probability distributions of the variables (columns) of the initial data matrix, and of the respective parameters, in the distribution of the values of these coefficients. We present some results concerning the asymptotic distribution of the referred coefficients under the assumption that the variables (for which the values of these coefficients are calculated) are independent and have statistical probability distributions specified apriori. In this distributional study, based on the Monte Carlo simulation method, we considered ten well-known statistical probability distributions with different variations of the respective parameters. The simulation studies lead to the conclusion that the coefficients’ convergence for the normal distribution is quite fast and, in general, a good approximation is obtained for small sample sizes, that is for sample sizes above 20 and in many cases for sample sizes above 10.Asian Online Journals (www.ajouronline.com)Repositório da Universidade dos AçoresSousa, ÁureaSilva, OsvaldoBacelar-Nicolau, HelenaNicolau, Fernando C.2014-02-03T10:45:54Z2013-122013-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.3/2662engSousa, Áurea; Silva, Osvaldo; Bacelar-Nicolau, Helena; Nicolau, Fernando C. (2013). "Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method". Asia Online Journals: Asian Journal of Applied Sciences, 1(5), 236-245,. ISSN 2321-0893.2321-0893 (Online)info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-12-20T14:30:31Zoai:repositorio.uac.pt:10400.3/2662Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:25:20.500395Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
title Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
spellingShingle Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
Sousa, Áurea
Affinity Coefficient
Pearson's Correlation Coefficient
Monte Carlo Simulation Method
Probability Laws
title_short Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
title_full Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
title_fullStr Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
title_full_unstemmed Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
title_sort Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method
author Sousa, Áurea
author_facet Sousa, Áurea
Silva, Osvaldo
Bacelar-Nicolau, Helena
Nicolau, Fernando C.
author_role author
author2 Silva, Osvaldo
Bacelar-Nicolau, Helena
Nicolau, Fernando C.
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório da Universidade dos Açores
dc.contributor.author.fl_str_mv Sousa, Áurea
Silva, Osvaldo
Bacelar-Nicolau, Helena
Nicolau, Fernando C.
dc.subject.por.fl_str_mv Affinity Coefficient
Pearson's Correlation Coefficient
Monte Carlo Simulation Method
Probability Laws
topic Affinity Coefficient
Pearson's Correlation Coefficient
Monte Carlo Simulation Method
Probability Laws
description This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
2013-12-01T00:00:00Z
2014-02-03T10:45:54Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.3/2662
url http://hdl.handle.net/10400.3/2662
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Sousa, Áurea; Silva, Osvaldo; Bacelar-Nicolau, Helena; Nicolau, Fernando C. (2013). "Distribution of the Affinity Coefficient between Variables based on the Monte Carlo Simulation Method". Asia Online Journals: Asian Journal of Applied Sciences, 1(5), 236-245,. ISSN 2321-0893.
2321-0893 (Online)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Asian Online Journals (www.ajouronline.com)
publisher.none.fl_str_mv Asian Online Journals (www.ajouronline.com)
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799130702426406912

Registros relacionados