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Multivariate Behavioral Research Volume 50, 2015 - Issue 5
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Original Articles

Extending the Debate Between Spearman and Wilson 1929: When do Single Variables Optimally Reproduce the Common Part of the Observed Covariances?

André BeauducelInstitute of Psychology, University of BonnCorrespondence[email protected]
&
Norbert HilgerInstitute of Psychology, University of Bonn
Pages 555-567 | Published online: 13 Oct 2015

REFERENCES

  • 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.
  • Bartlett, M.S. (1937). The statistical conception of mental factors. British Journal of Psychology, 28, 97–104. doi:10.1111/j.2044-8295.1937.tb00863.x
  • Beauducel, A. (2007). In spite of indeterminacy many common factor score estimates yield an identical reproduced covariance matrix. Psychometrika, 72, 437–441. doi:10.1007/s11336-005-1467-5
  • Beauducel, A., & Rabe, S. (2009). Model-related factor score predictors for confirmatory factor analysis. British Journal of Mathematical and Statistical Psychology, 62, 489–506. doi:10.1348/000711008X336146
  • Comrey, A.L. (1962). The minimum residual method of factor analysis. Psychological Reports, 11, 15–18. doi:10.2466/pr0.1962.11.1.15
  • Cudeck, R., & Browne, M.W. (1992). Constructing a covariance matrix that yields a specified minimizer and a specified minimum discrepancy function value. Psychometrika, 57, 357–369. doi:10.1007/BF02295424
  • Grice, J.W. (2001a). Computing and evaluating factor scores. Psychological Methods, 6, 430–450. doi:10.1037/1082-989X.6.4.430
  • Grice, J.W. (2001b). A comparison of factor score under conditions of factor obliquity. Psychological Methods, 6, 67–83. doi:10.1037/1082-989X.6.1.67
  • Guttman, L. (1955). The determinacy of factor score matrices with applications for five other problems of common factor theory. British Journal of Statistical Psychology, 8, 65–82. doi:10.1111/j.2044-8317.1955.tb00321.x
  • Harman, H.H. (1976). Modern factor analysis ( 3rd ed.). Chicago, IL: The University of Chicago Press.
  • Harman, H.H., & Jones, W.H. (1966). Factor analysis by minimizing residuals (minres). Psychometrika, 31, 351–368. doi:10.1007/BF02289468
  • Howe, W.G. (1955). Some contributions to factor analysis. Oak Ridge, Tenn.: Oak Ridge National Laboratory. (Report No. ORNL-1919.) Retrieved from http://web.ornl.gov/info/reports/1955/3445603609833.pdf
  • Jöreskog, K.G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34, 183–202. doi:10.1002/j.2333-8504.1967.tb00991.x
  • Jöreskog, K.G. (2003). Factor analysis by MINRES. Available at http://www.ssicentral.com/lisrel/techdocs/minres.pdf.
  • Krijnen, W.P. (2006). Some results on mean square error for factor score prediction. Psychometrika, 71, 395–409. doi:10.1007/S11336-004-1220-7
  • McDonald, R.P. (1981). Constrained least squares estimators of oblique common factors. Psychometrika, 46, 337–341. doi:10.1007/BF02293740
  • McDonald, R.P., & Burr, E.J. (1967). A comparison of four methods of constructing factor scores. Psychometrika, 32, 381–401. doi:10.1007/BF02289653
  • Mulaik, S.A. (2010). Foundations of factor analysis ( 2nd ed.). New York, NY: CRC Press.
  • Preacher, K.J., & MacCallum, R.C. (2003). Repairing Tom Swift's electric factor analysis machine. Understanding Statistics, 2, 13–43. doi:10.1207/S15328031US0201_02
  • Schneewind, K.A., & Graf, J. (1998). Der 16 Persönlichkeits FaktorenTest. Revidierte Fassung. [The 16-Personality-Factors-Test. Revised Version]. Göttingen, Germany: Verlag Hans Huber.
  • Schönemann, P.H., & Steiger, J.H. (1976). Regression component analysis. British Journal of Mathematical and Statistical Psychology, 29, 175–189. doi:10.1111/j.2044-8317.1976.tb00713.x
  • Schönemann, P.H., & Wang, M.M. (1972). Some new results on factor indeterminacy. Psychometrika, 37, 61–91. doi:10.1007/BF02291413
  • Sechrest, L. (1963). Incremental validity: A recommendation. Educational and Psychological Measurement, 23, 153–158. doi:10.1177/001316446302300113
  • Spearman, C. (1929). The uniqueness of “g.” Journal of Educational Psychology, 20, 212–216. doi:10.1037/h0072998
  • Thurstone, L.L. (1935). The Vectors of mind. Chicago, IL: University of Chicago Press.
  • Thurstone, L.L. (1954). A method of factoring without communalities. 1954 Invitational Conference on Testing Problems. Princeton, NJ: Educational Testing Service, 50, 59–62, 64–66.
  • Widaman, K.F. (2007). Common factors versus components: Principals and principles, errors and misconceptions. In R. Cudeck & R.C. MacCallum (Eds.), Factor analysis at 100: Historical developments and future directions (pp. 177–203). Mahwah, NJ: Erlbaum.
  • Wilson, E.B. (1929). Comment on professor Spearman's note. Journal of Educational Psychology, 20, 217–223. doi:10.1037/h0071925

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