Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study.
The use of product-moment correlation of Pearson is common in most studies in factor analysis in psychology, but it is known that this statistic is only applicable when the variables related are in interval scale and normally distributed, and when are used in ordinal data may to produce a distorted...
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Format: | Online |
Language: | spa |
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Universidad Nacional de Córdoba
2014
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Online Access: | https://revistas.unc.edu.ar/index.php/racc/article/view/6357 |
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author | Dominguez Lara, Sergio Alexis |
author_facet | Dominguez Lara, Sergio Alexis |
author_sort | Dominguez Lara, Sergio Alexis |
collection | Portal de Revistas |
description | The use of product-moment correlation of Pearson is common in most studies in factor analysis in psychology, but it is known that this statistic is only applicable when the variables related are in interval scale and normally distributed, and when are used in ordinal data may to produce a distorted correlation matrix . Thus is a suitable option using polychoric/tetrachoric matrices in item-level factor analysis when the items are in level measurement nominal or ordinal. The aim of this study was to show the differences in the KMO, Bartlett`s Test and Determinant of the Matrix, percentage of variance explained and factor loadings in depression trait scale of Depression Inventory Trait - State and the Neuroticism dimension of the short form of the Eysenck Personality Questionnaire -Revised, regarding the use of matrices polychoric/tetrachoric matrices and Pearson. These instruments was analyzed with different extraction methods (Maximum Likelihood, Minimum Rank Factor Analysis, Unweighted Least Squares and Principal Components), keeping constant the rotation method Promin were analyzed. Were observed differences regarding sample adequacy measures, as well as with respect to the explained variance and the factor loadings, for solutions having as polychoric/tetrachoric matrix. So it can be concluded that the polychoric / tetrachoric matrix give better results than Pearson matrices when it comes to item-level factor analysis using different methods. |
format | Online |
id | oai:ojs.revistas.unc.edu.ar:article-6357 |
institution | Universidad Nacional de Cordoba |
language | spa |
publishDate | 2014 |
publisher | Universidad Nacional de Córdoba |
record_format | ojs |
spelling | oai:ojs.revistas.unc.edu.ar:article-63572019-05-27T19:17:36Z Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. ¿Matrices Policóricas/Tetracóricas o Matrices Pearson? Un estudio metodológico Dominguez Lara, Sergio Alexis análisis factorial matrices tetracóricas matrices policóricas validez Psicología Psicometría factor analysis polychoric matrix tetrachoric matrix validity The use of product-moment correlation of Pearson is common in most studies in factor analysis in psychology, but it is known that this statistic is only applicable when the variables related are in interval scale and normally distributed, and when are used in ordinal data may to produce a distorted correlation matrix . Thus is a suitable option using polychoric/tetrachoric matrices in item-level factor analysis when the items are in level measurement nominal or ordinal. The aim of this study was to show the differences in the KMO, Bartlett`s Test and Determinant of the Matrix, percentage of variance explained and factor loadings in depression trait scale of Depression Inventory Trait - State and the Neuroticism dimension of the short form of the Eysenck Personality Questionnaire -Revised, regarding the use of matrices polychoric/tetrachoric matrices and Pearson. These instruments was analyzed with different extraction methods (Maximum Likelihood, Minimum Rank Factor Analysis, Unweighted Least Squares and Principal Components), keeping constant the rotation method Promin were analyzed. Were observed differences regarding sample adequacy measures, as well as with respect to the explained variance and the factor loadings, for solutions having as polychoric/tetrachoric matrix. So it can be concluded that the polychoric / tetrachoric matrix give better results than Pearson matrices when it comes to item-level factor analysis using different methods. El uso de la correlación producto-momento de Pearson es frecuente en la mayoría de estudios en análisis factorial en psicología, mas es conocido que este estadístico solo es aplicable cuando las variables que se relacionan están al menos en escala de intervalo y distribuidas normalmente; su utilización en datos ordinales puede resultar en una matriz de correlaciones distorsionada. Es así que se plantea como una opción adecuada el uso de matrices policóricas/tetracóricas a nivel de ítem en análisis factorial cuando los reactivos están en un nivel de medición nominal u ordinal. El objetivo de este trabajo fue mostrar las diferencias en cuanto a las medidas de adecuación muestral (KMO, Test de Esfericidad de Bartlett y Determinante de la Matriz), porcentaje de varianza explicada y saturaciones factoriales tanto en la escala Depresión Rasgo del Inventario de Depresión Rasgo-Estado (Spielberger, Agudelo & Buela Casal, 2008) como en la dimensión Neuroticismo de la forma corta del Cuestionario de Personalidad de Eysenck-Revisado (Eysenck & Eysenck, 2008) con relación al uso de matrices Policóricas/Tetracóricas y matrices Pearson. Se analizaron dichos instrumentos con diversos métodos de extracción (Máxima verosimilitud, Minimum Rank Factor Analysis, Mínimos Cuadrados No Ponderados y Componentes Principales), manteniendo constante el método de rotación Promin. Se apreciaron diferencias con relación a las medidas de adecuación muestral, así como con respecto a la varianza explicada y las cargas factoriales, a favor de las soluciones que tienen como base matrices policóricas/tetracóricas. Se concluye que las matrices policóricas/tetracóricas permiten obtener mejores resultados que las matrices Pearson cuando se trata de análisis factorial a nivel de ítem utilizando distintos métodos. Universidad Nacional de Córdoba 2014-04-02 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.unc.edu.ar/index.php/racc/article/view/6357 10.32348/1852.4206.v6.n1.6357 Argentinean Journal of Behavioral Sciences; Vol. 6 No. 1 (2014): Revista Argentina de Ciencias del Comportamiento; 39-48 Revista Argentina de Ciencias del Comportamiento; Vol. 6 Núm. 1 (2014): Revista Argentina de Ciencias del Comportamiento; 39-48 1852-4206 10.32348/1852.4206.v6.n1 spa https://revistas.unc.edu.ar/index.php/racc/article/view/6357/Lara2014 Derechos de autor 2014 Sergio Alexis Dominguez Lara |
spellingShingle | análisis factorial matrices tetracóricas matrices policóricas validez Psicología Psicometría factor analysis polychoric matrix tetrachoric matrix validity Dominguez Lara, Sergio Alexis Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. |
title | Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. |
title_alt | ¿Matrices Policóricas/Tetracóricas o Matrices Pearson? Un estudio metodológico |
title_full | Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. |
title_fullStr | Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. |
title_full_unstemmed | Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. |
title_short | Polychoric/Tetrachoric Matrix or Pearson Matrix? A methodological study. |
title_sort | polychoric tetrachoric matrix or pearson matrix a methodological study |
topic | análisis factorial matrices tetracóricas matrices policóricas validez Psicología Psicometría factor analysis polychoric matrix tetrachoric matrix validity |
topic_facet | análisis factorial matrices tetracóricas matrices policóricas validez Psicología Psicometría factor analysis polychoric matrix tetrachoric matrix validity |
url | https://revistas.unc.edu.ar/index.php/racc/article/view/6357 |
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