Testes assintóticos para detectar consenso multivariado em painéis sensoriais

Detalhes bibliográficos
Ano de defesa: 2016
Autor(a) principal: Ferreira, Laís Brambilla Storti lattes
Orientador(a): Ferreira, Eric Batista lattes
Banca de defesa: Gomes, Davi Butturi, Ferreira, Daniel Furtado
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Alfenas
Programa de Pós-Graduação: Programa de Pós-Graduação em Estatística Aplicada e Biometria
Departamento: Instituto de Ciências Exatas
País: Brasil
Palavras-chave em Português:
Área do conhecimento CNPq:
Link de acesso: https://repositorio.unifal-mg.edu.br/handle/123456789/910
Resumo: The unidimensionality of a sensory panel is directly related to the panel consonance, i.e., a panel is considered unidimensional when assessors score in the same way a particular attribute. Due to the importance of the panel agreement to the reliability of sensory analysis panelists should be trained in order that they agree with each other regarding the characteristics of an attribute. In the literature several methods have been proposed to assess such agreement, although existing methods evaluate the marks for one attribute at a time, making the analysis slower. The objective of this study is to generalize the asymptotic test eigenvalues proposed by Ferreira (2008a), in order to infer about the multivariate consensus of sensory panels. From the generalization of the asymptotic test of eigenvalues it was possible to obtain four new test statistics. The evaluation of the tests was conducted via Monte Carlo simulation, in which were evaluated different scenarios resulting from the combination of the numbers of panelists (2, 5, 10 and 15), attributes (2, 5, 10 and 20), observations (10, 20, 30, 40, 50, 100 and 200) , degree of training of the sensory panel (0;1 ≥ p² ≥ 0;99) and the restriction n ≥ pq. Overall, analyzing the type I error and the power function of the tests, the test InvH2 was more efficient.
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spelling Ferreira, Laís Brambilla Stortihttp://lattes.cnpq.br/9965398009651936Dias, AdrianaGomes, Davi ButturiFerreira, Daniel FurtadoFerreira, Eric Batistahttp://lattes.cnpq.br/72347266290698562017-03-03T23:49:23Z2016-12-16FERREIRA, Laís Brambilla Storti. Testes assintóticos para detectar consenso multivariado em painéis sensoriais. 2016. 76 f. Dissertação (Mestrado em Estatística Aplicada e Biometria) - Universidade Federal de Alfenas, Alfenas, MG, 2016.https://repositorio.unifal-mg.edu.br/handle/123456789/910The unidimensionality of a sensory panel is directly related to the panel consonance, i.e., a panel is considered unidimensional when assessors score in the same way a particular attribute. Due to the importance of the panel agreement to the reliability of sensory analysis panelists should be trained in order that they agree with each other regarding the characteristics of an attribute. In the literature several methods have been proposed to assess such agreement, although existing methods evaluate the marks for one attribute at a time, making the analysis slower. The objective of this study is to generalize the asymptotic test eigenvalues proposed by Ferreira (2008a), in order to infer about the multivariate consensus of sensory panels. From the generalization of the asymptotic test of eigenvalues it was possible to obtain four new test statistics. The evaluation of the tests was conducted via Monte Carlo simulation, in which were evaluated different scenarios resulting from the combination of the numbers of panelists (2, 5, 10 and 15), attributes (2, 5, 10 and 20), observations (10, 20, 30, 40, 50, 100 and 200) , degree of training of the sensory panel (0;1 ≥ p² ≥ 0;99) and the restriction n ≥ pq. Overall, analyzing the type I error and the power function of the tests, the test InvH2 was more efficient.A unidimensionalidade de um painel sensorial está diretamente relacionada com a consonância do mesmo, ou seja, um painel é considerado unidimensional quando os provadores pontuam da mesma forma um determinado atributo. Devido a importância da concordância do painel para a confiabilidade da análise sensorial os provadores devem ser treinados de modo que concordem entre si em relação às características deste atributo. Na literatura é possível encontrar métodos que vem sendo propostos para avaliar esta concordância, porém os métodos existentes avaliam as notas dadas pelos provadores para um atributo de cada vez, tornando a análise mais lenta. Assim, o objetivo deste trabalho é generalizar o teste assintótico de autovalores proposto por Ferreira (2008a), a fim de inferir sobre o consenso multivariado de painéis sensoriais. A partir da generalização do teste assintótico de autovalores foi possível obter quatro novas estatísticas de teste. A avaliação dos testes foi realizada via simulação Monte Carlo, na qual foram avaliados diferentes cenários resultantes da combinação dos números de provadores (2, 5, 10 e 15), atributos (2, 5, 10 e 20), observações (10, 20, 30, 40, 50, 100 e 200), grau de treinamento do painel sensorial (0;1 ≥ p² ≥ 0;99) e da restrição n ≥ pq. De maneira geral, analisando a taxa de erro tipo I e o poder dos testes, o teste InvH2 mostrou-se ser o mais eficiente.Fundação de Amparo à Pesquisa do Estado de Minas Gerais - FAPEMIGapplication/pdfporUniversidade Federal de AlfenasPrograma de Pós-Graduação em Estatística Aplicada e BiometriaUNIFAL-MGBrasilInstituto de Ciências Exatasinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/Análise multivariadaAvaliação sensorialAnalise de componentes principais.ESTATISTICA::ANALISE MULTIVARIADATestes assintóticos para detectar consenso multivariado em painéis sensoriaisinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/publishedVersion-8156311678363143599600600600-3866720451708210859-1527361517405938873reponame:Repositório Institucional da Universidade Federal de Alfenas - RiUnifalinstname:Universidade Federal de Alfenas (UNIFAL)instacron:UNIFALFerreira, Laís Brambilla StortiLICENSElicense.txtlicense.txttext/plain; charset=utf-81987https://repositorio.unifal-mg.edu.br/bitstreams/9bee41f9-5f74-43c6-9092-127ae31ed602/download31555718c4fc75849dd08f27935d4f6bMD51CC-LICENSElicense_urllicense_urltext/plain; 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dc.title.pt-BR.fl_str_mv Testes assintóticos para detectar consenso multivariado em painéis sensoriais
title Testes assintóticos para detectar consenso multivariado em painéis sensoriais
spellingShingle Testes assintóticos para detectar consenso multivariado em painéis sensoriais
Ferreira, Laís Brambilla Storti
Análise multivariada
Avaliação sensorial
Analise de componentes principais.
ESTATISTICA::ANALISE MULTIVARIADA
title_short Testes assintóticos para detectar consenso multivariado em painéis sensoriais
title_full Testes assintóticos para detectar consenso multivariado em painéis sensoriais
title_fullStr Testes assintóticos para detectar consenso multivariado em painéis sensoriais
title_full_unstemmed Testes assintóticos para detectar consenso multivariado em painéis sensoriais
title_sort Testes assintóticos para detectar consenso multivariado em painéis sensoriais
author Ferreira, Laís Brambilla Storti
author_facet Ferreira, Laís Brambilla Storti
author_role author
dc.contributor.author.fl_str_mv Ferreira, Laís Brambilla Storti
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9965398009651936
dc.contributor.advisor-co1.fl_str_mv Dias, Adriana
dc.contributor.referee1.fl_str_mv Gomes, Davi Butturi
dc.contributor.referee2.fl_str_mv Ferreira, Daniel Furtado
dc.contributor.advisor1.fl_str_mv Ferreira, Eric Batista
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/7234726629069856
contributor_str_mv Dias, Adriana
Gomes, Davi Butturi
Ferreira, Daniel Furtado
Ferreira, Eric Batista
dc.subject.por.fl_str_mv Análise multivariada
Avaliação sensorial
Analise de componentes principais.
topic Análise multivariada
Avaliação sensorial
Analise de componentes principais.
ESTATISTICA::ANALISE MULTIVARIADA
dc.subject.cnpq.fl_str_mv ESTATISTICA::ANALISE MULTIVARIADA
description The unidimensionality of a sensory panel is directly related to the panel consonance, i.e., a panel is considered unidimensional when assessors score in the same way a particular attribute. Due to the importance of the panel agreement to the reliability of sensory analysis panelists should be trained in order that they agree with each other regarding the characteristics of an attribute. In the literature several methods have been proposed to assess such agreement, although existing methods evaluate the marks for one attribute at a time, making the analysis slower. The objective of this study is to generalize the asymptotic test eigenvalues proposed by Ferreira (2008a), in order to infer about the multivariate consensus of sensory panels. From the generalization of the asymptotic test of eigenvalues it was possible to obtain four new test statistics. The evaluation of the tests was conducted via Monte Carlo simulation, in which were evaluated different scenarios resulting from the combination of the numbers of panelists (2, 5, 10 and 15), attributes (2, 5, 10 and 20), observations (10, 20, 30, 40, 50, 100 and 200) , degree of training of the sensory panel (0;1 ≥ p² ≥ 0;99) and the restriction n ≥ pq. Overall, analyzing the type I error and the power function of the tests, the test InvH2 was more efficient.
publishDate 2016
dc.date.issued.fl_str_mv 2016-12-16
dc.date.accessioned.fl_str_mv 2017-03-03T23:49:23Z
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dc.identifier.citation.fl_str_mv FERREIRA, Laís Brambilla Storti. Testes assintóticos para detectar consenso multivariado em painéis sensoriais. 2016. 76 f. Dissertação (Mestrado em Estatística Aplicada e Biometria) - Universidade Federal de Alfenas, Alfenas, MG, 2016.
dc.identifier.uri.fl_str_mv https://repositorio.unifal-mg.edu.br/handle/123456789/910
identifier_str_mv FERREIRA, Laís Brambilla Storti. Testes assintóticos para detectar consenso multivariado em painéis sensoriais. 2016. 76 f. Dissertação (Mestrado em Estatística Aplicada e Biometria) - Universidade Federal de Alfenas, Alfenas, MG, 2016.
url https://repositorio.unifal-mg.edu.br/handle/123456789/910
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dc.publisher.department.fl_str_mv Instituto de Ciências Exatas
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