Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient

The literature presents many methods for partitioning of data set, and is difficult choose which is the most suitable, since the various combinations of methods based on different measures of dissimilarity can lead to different patterns of grouping and false interpretations. Nevertheless, little ef...

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Main Authors: Priscilla Ramos Carvalho, Casimiro Sepúlveda Munita, André Luiz Lapolli
Format: Article
Language:English
Published: Brazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR) 2019-02-01
Series:Brazilian Journal of Radiation Sciences
Subjects:
Online Access:https://bjrs.org.br/revista/index.php/REVISTA/article/view/668
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author Priscilla Ramos Carvalho
Casimiro Sepúlveda Munita
André Luiz Lapolli
author_facet Priscilla Ramos Carvalho
Casimiro Sepúlveda Munita
André Luiz Lapolli
author_sort Priscilla Ramos Carvalho
collection DOAJ
description The literature presents many methods for partitioning of data set, and is difficult choose which is the most suitable, since the various combinations of methods based on different measures of dissimilarity can lead to different patterns of grouping and false interpretations. Nevertheless, little effort has been expended in evaluating these methods empirically using an archaeological data set. In this way, the objective of this work is make a comparative study of the different cluster analysis methods and identify which is the most appropriate. For this, the study was carried out using a data set of 45 samples of ceramic fragments, analyzed by instrumental neutron activation analysis (INAA). The methods used for this study were: Single linkage, Complete linkage, Average linkage, Centroid and Ward. The validation was done using the cophenetic correlation coefficient and comparing these values the average linkage method obtained better results. A script of the statistical program R with some functions was created to obtain the cophenetic correlation. By means of these values was possible to choose the most appropriate method to be used in the data set.
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spelling doaj.art-e57f8c764a5e4e028b2d67c524ac18882022-12-22T02:36:03ZengBrazilian Radiation Protection Society (Sociedade Brasileira de Proteção Radiológica, SBPR)Brazilian Journal of Radiation Sciences2319-06122019-02-0172A10.15392/bjrs.v7i2A.668Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficientPriscilla Ramos CarvalhoCasimiro Sepúlveda MunitaAndré Luiz Lapolli The literature presents many methods for partitioning of data set, and is difficult choose which is the most suitable, since the various combinations of methods based on different measures of dissimilarity can lead to different patterns of grouping and false interpretations. Nevertheless, little effort has been expended in evaluating these methods empirically using an archaeological data set. In this way, the objective of this work is make a comparative study of the different cluster analysis methods and identify which is the most appropriate. For this, the study was carried out using a data set of 45 samples of ceramic fragments, analyzed by instrumental neutron activation analysis (INAA). The methods used for this study were: Single linkage, Complete linkage, Average linkage, Centroid and Ward. The validation was done using the cophenetic correlation coefficient and comparing these values the average linkage method obtained better results. A script of the statistical program R with some functions was created to obtain the cophenetic correlation. By means of these values was possible to choose the most appropriate method to be used in the data set. https://bjrs.org.br/revista/index.php/REVISTA/article/view/668cluster analysiscophenetic correlation coefficientINAA.
spellingShingle Priscilla Ramos Carvalho
Casimiro Sepúlveda Munita
André Luiz Lapolli
Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
Brazilian Journal of Radiation Sciences
cluster analysis
cophenetic correlation coefficient
INAA.
title Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
title_full Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
title_fullStr Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
title_full_unstemmed Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
title_short Validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
title_sort validity studies among hierarchical methods of cluster analysis using cophenetic correlation coefficient
topic cluster analysis
cophenetic correlation coefficient
INAA.
url https://bjrs.org.br/revista/index.php/REVISTA/article/view/668
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AT casimirosepulvedamunita validitystudiesamonghierarchicalmethodsofclusteranalysisusingcopheneticcorrelationcoefficient
AT andreluizlapolli validitystudiesamonghierarchicalmethodsofclusteranalysisusingcopheneticcorrelationcoefficient