Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Análisis de componentes principales y análisis de regresión para datos categóricos. Aplicación en la hipertensión arterial
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Keywords

categorical regression
arterial hypertension
classifiers
ROC curves
: regresión categórica
hipertensión arterial
clasificación
curvas ROC

How to Cite

Navarro Céspedes, J. M., Casas Cardoso, G. M., & González Rodríguez, E. (2010). Análisis de componentes principales y análisis de regresión para datos categóricos. Aplicación en la hipertensión arterial. Revista De Matemática: Teoría Y Aplicaciones, 17(2), 199–230. https://doi.org/10.15517/rmta.v17i2.2128

Abstract

The present work is about the statistical processing of categorical data. The mathematical details of the Categorical Principal Components and the Categorical Regression Analysis are explained. The combination of both techniques can be used to solve classification problems. Because these techniques are relatively new, we decided to use another technique (classification trees following the chi squared criteria) to make a comparison of their results, with the help of the theory of ROC curves.

In the application, supposedly healthy patients of Santa Clara, Cuba, were diagnosed as hypertensive, pre hypertensive and no hypertensive by a Committee of Medical Experts. Categorical Component Analysis and Categorical Regression Analysis were applied in order to successfully solve the classification problem.

https://doi.org/10.15517/rmta.v17i2.2128
PDF (Español (España))

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Copyright (c) 2010 Juan M. Navarro Céspedes, Gladys M. Casas Cardoso, Emilio González Rodríguez

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