On the relationship between ratio of number of variables to number of factors and factorial determinacy
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It is shown that an important distinction can be made between determinacy of common-factors and determinacy of unique-factors and that determinacy can be used as a criterion to establish a lower bound for the ratio of number of variables to number of factors necessary if specified levels of common- and unique-factor determinacy are to be attained.
KeywordsPublic Policy Statistical Theory Factorial Determinacy Important Distinction
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- Guttman, L. The determinacy of factor score matrices, with implications for five other basic problems of common-factor theory.British Journal of Statistical Psychology, 1955,8, 65–81.Google Scholar
- Guttman, L. “Best possible” systematic estimates of communalities.Psychometrika, 1956,21, 273–285.Google Scholar
- Heermann, E. F. The geometry of factorial indeterminacy.Psychometrika, 1964,29, 371–381.Google Scholar
- Heermann, E. F. The algebra of factorial indeterminacy.Psychometrika, 1966,31, 539–543.Google Scholar
- Meyer, E. P. Some results concerning choice of uniqueness estimates, number of factors, and determinacy of factor score matrices. Unpublished doctoral dissertation, Univ. Wisconsin, 1969.Google Scholar
- Schönemann, P. H. The minimum average correlation between equivalent sets of uncorrelated factors.Psychometrika, 1971,36, 21–30.Google Scholar
- Schönemann, P. H., and Wang, Ming-Mei. Some new results on factor indeterminacy.Psychometrika, 1972,37, 61–91.Google Scholar