The Internal Correlation: Its Applications in Statistics and Psychometrics

George W. Joe and Jorge L. Mendoza

Journal of Educational and Behavioral Statistics, 1989, vol. 14, issue 3, 211-226

Abstract: The internal correlation, a measure of dependency in a set of variables, is discussed and generalized. This coefficient is an upper bound to the product moment correlations, multiple correlations, and canonical correlations that can be defined in a set of variables. Applications of the internal correlation coefficient and its generalizations are given for a number of data-analytic situations. Where appropriate, we discuss tests of significance. We illustrate the internal correlation and expand the concept to a series of additional indices: local internal, up-internal, and down-internal correlations. Uses of these indices are illustrated in several areas: multicollinearity, ridge regression, factor analysis, principal components analysis, and test reliability.

Keywords: internal correlation coefficient; canonical correlation; ridge regression (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:14:y:1989:i:3:p:211-226

DOI: 10.3102/10769986014003211

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