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Redundancy Analysis for Qualitative Variables

Published online by Cambridge University Press:  01 January 2025

Abby Z. Israels
Abby Z. Israels*
Affiliation:
Netherlands Central Bureau of Statistics
*
Requests for reprints should be sent to Abby Z. Israëls, Central Bureau of Statistics, Department of Statistical Methods, P.O. Box 959, 2270 AZ VOORBURG, The Netherlands.
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Abstract

Redundancy analysis (also called principal components analysis of instrumental variables) is a technique for two sets of variables, one set being dependent of the other. Its aim is maximization of the explained variance of the dependent variables by a linear combination of the explanatory variables. The technique is generalized to qualitative variables; it then gives implicitly a simultaneous ‘optimal’ scaling of the dependent, qualitative variables. Examples are taken from the Dutch Life Situation Survey 1977, using Satisfaction with Life and Happiness as dependent variables. The analysis leads to one well-being scale, defined by the explanatory variables Marital status, Schooling, Income and Activity.

Keywords

redundancy analysisoptimal scalingqualitative regression analysis

Information

Type
Original Paper
Information
Psychometrika , Volume 49 , Issue 3 , September 1984, pp. 331 - 346
Copyright
Copyright © 1984 The Psychometric Society

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Footnotes

The views expressed in this paper are those of the author and do not necessarily reflect the policies of the Netherlands Central Bureau of Statistics.

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