In spite of indeterminacy many common factor score estimates yield an identical reproduced covariance matrix

Psychometrika

Volumn 72, Issue 3, 2007, Pages 437-441

  Beauducel, André ^a  

^a HELMUT SCHMIDT UNIVERSITY   (Germany)

Author keywords

Factor score estimates; Indeterminacy; Regression component analysis

Indexed keywords

EID: 36448977279     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-005-1467-5     Document Type: Article

References (17)

1. Anderson, T.W., & Rubin, H. (1956). Statistical inference in factor analysis. Proceedings of the Third Berkeley Symposium of Mathematical Statistics and Probability, 5, 111-150.
2. Bartlett, M.S. (1937). The statistical conception of mental factors. British Journal of Psychology, 28, 97-104.
3. Fava, J.L., & Velicer, W.F. (1992). An empirical comparison of factor, image, component, and scale scores. Multivariate Behavioral Research, 27, 301-322.
4. Gorsuch, R.L. (1983). Factor Analysis (2nd ed.). Hillsdale, NJ: Erlbaum.
5. Grice, J.W. (2001). Computing and evaluation factor scores. Psychological Methods, 6, 430-450.
6. Grice, J.W., & Harris, R.J. (1998). A comparison of regression and loading weights for the computation of factor scores. Multivariate Behavioral Research, 33, 221-247.
7. Harman, H.H. (1941). On the rectilinear prediction of oblique factors. Psychometrika, 6, 29-35.
8. Harman, H.H. (1976). Modern Factor Analysis (3rd ed.). Chicago: The University of Chicago Press.
9. Jöreskog, K.G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34, 183-202.
10. Krijnen, W.P., Wansbeek, T.J., & Ten Berge, J.M.F. (1996). Best linear predictors for factor scores. Communications in Statistics: Theory and Methods, 25, 3013-3025.
11. Ledermann, W. (1939). On a shortened method of estimation of mental factors by regression. Psychometrika, 4, 109-116.
12. McDonald, R.P. (1981). Constrained least squares estimators of oblique common factors. Psychometrika, 46, 337-341.
13. Mulaik, S.A. (1972). The Foundations of Factor Analysis. New York: McGraw-Hill.
14. Schönemann, P.H., & Steiger, J.H. (1976). Regression component analysis. British Journal of Mathematical and Statistical Psychology, 29, 175-189.
15. Takeuchi, K., Yanai, H., & Mukherjee, B.N. (1982). The Foundations of Multivariate Analysis. New Dehli: Wiley Eastern.
16. Ten Berge, J.M.F., Krijnen, W.P., Wansbeek, T., & Shapiro, A. (1999). Some new results on correlation-preserving factor scores prediction methods. Linear Algebra and its Applications, 289, 311-318.
17. Thurstone, L.L. (1935). The Vectors of Mind. Chicago: University of Chicago Press.