Abstract
A theorem is presented which gives the range of possible correlations between a common factor and an external variable (i.e., a variable not included in the test battery factor analyzed). Analogous expressions for component (and regression component) theory are also derived. Some situations involving external correlations are then discussed which dramatize the theoretical differences between components and common factors.
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Steiger, J. H.The relationship between external variables and indeterminate factors. Unpublished doctoral dissertation, Purdue University, 1976.
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Support by the National Research Council of Canada (NRC Grant No. A4640) and the University of British Columbia (UBC Humanities and Social Sciences Grant 26-9718) is gratefully acknowledged.
This paper is based in part on the author's Ph.D. dissertation. I am particularly grateful to my dissertation advisor, Dr. Peter H. Schönemann. Thanks also to the editor and the anonymous reviewers, who contributed many helpful comments and suggestions.
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Steiger, J.H. The relationship between external variables and common factors. Psychometrika 44, 93–97 (1979). https://doi.org/10.1007/BF02293788
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DOI: https://doi.org/10.1007/BF02293788