Abstract
Bounds are here developed for the multiple correlation of common factors with the items whose factors they are. It is then easy to see, under broad but not completely general conditions, the circumstances under which an infinite item domain does or does not perfectly determine selected subsets of its common factors.
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References
Guttman, L. Multiple rectilinear prediction and the resolution into components.Psychometrika, 1940,5, 75–99.
McDonald, R. P. The measurement of factor indeterminacy.Psychometrika, 1974,39, 203–222.
Mulaik, S. A. A note on sufficient conditions that a common factor will be determinate in an infinite domain of variables.Psychometrika, 1981,46, 105–107.
Mulaik, S. A. & McDonald, R. P. The effect of additional variables on factor indeterminacy in models with a single common factor.Psychometrika, 1978,43, 177–192.
Rozeboom, W. W. Linear correlations between sets of variables.Psychometrika, 1965,30, 57–71.
Rozeboom, W. W.Foundations of the Theory of Prediction. Homewood, Ill.: Dorsey Press, 1966.
Steiger, J. H. Factor indeterminacy in the 1930's and the 1970's. Some interesting parallels.Psychometrika, 1979,44, 157–167.
Williams, J. S. A definition for the common-factor analysis model and the elimination of problems of factor score indeterminacy.Psychometrika, 1978,43, 293–306.
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Rozeboom, W.W. The determinacy of common factors in large item domains. Psychometrika 47, 281–295 (1982). https://doi.org/10.1007/BF02294160
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DOI: https://doi.org/10.1007/BF02294160