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Scores and Principal Components: The Relationship between Components due to Subjects and to Variables

Published online by Cambridge University Press:  10 April 2014

Horacio J.A. Rimoldi  and
Elsa Bei de Libonatti
Horacio J.A. Rimoldi*
Affiliation:
CIIPME: CONICET, University of Buenos Aires University El Salvador
Elsa Bei de Libonatti
Affiliation:
CIIPME: CONICET, University of Buenos Aires University El Salvador
*
Correspondence concerning this article should be addressed to Dr. Rimoldi, Tte. Gral. Perón 2158. 1040 Buenos Aires (Argentina). Fax: 54 11 4953-3541. E-mail: ciipme@ssdnet.com.ar
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Abstract

The main purpose of this article is: given a score matrix called S, find out the joint proportional contribution of factors due to persons (conditions, situations, and so forth) and factors due to variables, for any sij observed score, where i identifies persons, and j, variables. This approach makes it possible a) to show that the same score in a given variable may have a different quantitative interpretation in terms of persons or conditions, and b) to find out how subjects differ in the way in which they relate variables.

El propósito de este artículo es determinar la contribución proporcional de factores debidos a las personas (condiciones, situaciones, etc.) y factores debidos a las variables, dada una matriz S donde se presentan las calificaciones obtenidas por m sujetos en n variables. Siguiendo el procedimiento descrito es posible: a) demostrar que la misma puntuación en una variable puede tener diferente interpretación cuantitativa según las personas, y b) averiguar cómo difieren los sujetos en su forma de relacionar las variables implicadas.

Keywords

principal componentsfactor contributioncomponentes principalescontribución de factores
Type
Articles
Information
The Spanish Journal of Psychology , Volume 3 , May 2000 , pp. 68 - 75
Copyright
Copyright © Cambridge University Press 2000

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