On the Applicability of Truncated Component Analysis Based on Correlation Coefficients for Nominal Scales
- 1 January 1978
- journal article
- research article
- Published by SAGE Publications in Applied Psychological Measurement
- Vol. 2 (1) , 135-145
- https://doi.org/10.1177/014662167800200113
Abstract
The possibility of using component analysis for nominal data is discussed. Particularly, two nomi nal scale correlation coefficients are applicable, namely, Tschuprow's coefficient and the J index. The reason is that they are E-correlation coeffi cients; that is, they satisfy the requirements of a scalar product between normalized vectors in a Eu clidean space. Some characteristics of these coeffi cients are described. The contingency coefficient and Cramér's V are shown not to be applicable in a component analysis. An example of a truncated component analysis on artifical nominal data is in cluded with both the J index and Tschuprow's coef ficient.Keywords
This publication has 4 references indexed in Scilit:
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