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Una propuesta para el análisis de tablas múltiples

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  • Modroño Herrán, Juan Ignacio
  • Fernández Aguirre, María Carmen
  • Landaluce Calvo, M. Isabel

Abstract

El análisis de tablas múltiples ha seguido cuatro direcciones básicas: el Análisis Procusteano, la metodología STATIS, el Análisis Factorial Múltiple y el Análisis Canónico Generalizado. Estos métodos, en general, han sido diseñados para el análisis de un conjunto de matrices de naturaleza cuantitativa que recogen información sobre el mismo o distinto conjunto de variables medidas en el mismo conjunto de individuos. No obstante, cuando nuestro objetivo es realizar un estudio comparativo de encuestas de opinión las tablas a analizar recogen información de naturaleza, generalmente, cualitativa y el número de encuestados (filas) en cada tabla es diferente. En este trabajo, centrándonos en el Análisis Factorial Múltiple (AFM) y STATIS, vamos a mostrar una extensión de estos métodos que permite el análisis de tablas múltiples con estas últimas características. El trabajo se completa con un análisis empírico y una estrategia de simulación.

Suggested Citation

  • Modroño Herrán, Juan Ignacio & Fernández Aguirre, María Carmen & Landaluce Calvo, M. Isabel, 2003. "Una propuesta para el análisis de tablas múltiples," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
    • Handle: RePEc:ehu:biltok:5712
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    References listed on IDEAS

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    1. J. Gower, 1975. "Generalized procrustes analysis," Psychometrika, Springer;The Psychometric Society, vol. 40(1), pages 33-51, March.
    2. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    3. Ledyard Tucker, 1958. "An inter-battery method of factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(2), pages 111-136, June.
    4. Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
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