Correlación policórica en el análisis de factores con variables ordinales
Abstract
This paper shows an explanation of the polychoric correlation calculus from ordinal data. For this purpose, latent variables are created from observe dones, these variables define thresholds in the normal distribution domain, which are used to calculate the correlations. Based on those conditions, we shall ilustrate the polychoric correlation applied to exploratory factor analysis for identifying a set of variables that affect customer satisfaction in the Postgraduate Department of a university.
References
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RENCHER, A. (2002). "Methods of Multivariate Analysis", Segunda Edición, John Wiley & Sons Inc., USA.
OLSSON, U. (1979). "On the robustness of factor aoalysis agaiost crude classification of the observations". Multivariate Behavioral Research, 14, 485-500.
RICHAUD, M.C. (2005). "Desarrollos del análisis factorial para el estudio de ítem dicotómicos y ordinales". Revista Interdisciplinaria, 22(2), 237-251 .
OLSSON, U. (1979). "Maximum likelihood estimation of the polychoric correlation coefficient". Psychometrika, 44, 443-460.
PEARSON, K. (1901). "Mathematical contributions to the theory of evolution. VII. On the correlation of characters not quantitatively measurable". Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 195, 1-47.
ZURITA, G. (2008), "Probabilidad y Estadística : Fundamentos y Aplicaciones", Primera Edición, Escuela Superior Politécnica del Litoral, Guayaquil, Ecuador.
MARTINSON, E. O. & HAMDAN, M. A. (1975). "Calculation of the polychoric estimate of correlation in contingency tables". Applied Statistics, 24, 272-278.
RENCHER, A. (2002). "Methods of Multivariate Analysis", Segunda Edición, John Wiley & Sons Inc., USA.
OLSSON, U. (1979). "On the robustness of factor aoalysis agaiost crude classification of the observations". Multivariate Behavioral Research, 14, 485-500.
RICHAUD, M.C. (2005). "Desarrollos del análisis factorial para el estudio de ítem dicotómicos y ordinales". Revista Interdisciplinaria, 22(2), 237-251 .
OLSSON, U. (1979). "Maximum likelihood estimation of the polychoric correlation coefficient". Psychometrika, 44, 443-460.
PEARSON, K. (1901). "Mathematical contributions to the theory of evolution. VII. On the correlation of characters not quantitatively measurable". Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 195, 1-47.
ZURITA, G. (2008), "Probabilidad y Estadística : Fundamentos y Aplicaciones", Primera Edición, Escuela Superior Politécnica del Litoral, Guayaquil, Ecuador.
MARTINSON, E. O. & HAMDAN, M. A. (1975). "Calculation of the polychoric estimate of correlation in contingency tables". Applied Statistics, 24, 272-278.
Published
2015-04-01
Section
Articulos
