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Original Articles

A Perspective on the Mathematical and Psychometric Aspects of Factor Indeterminacy

References

  • Bartholomew, D. J. (1996). Response to Dr. Maraun’s First Reply to Discussion of his paper. Multivariate Behavioral Research, 31(4), 551–554.
  • Ben-Israel, A., & Greville, T. N. (2003). Generalized inverses: Theory and application. New York, NY: Springer-Verlag.
  • Beauducel, A. (2015). A note on the equality and inequality of some factor score predictors. Communications in Statistics-Theory and Methods, 44(17), 3653–3057.
  • Bock, R. D., & Moustaki, I. (2007). Item response theory in a general framework. In C.R. Rao & S. Sinharay (Eds.), Handbook of statistics (Vol. 26, pp. 469–509). San Francisco, CA, Elsevier.
  • Cline, R. E. (1979). Elements of the theory of generalized inverses for matrices. Birkhäuser, Basel, CH. doi:10.1007/978-1-4684-6717-8
  • Guttman, L. (1955). The determinacy of factor scores with implications for five other basic problems of common factor theory. British Journal of Statistical Psychology, 8(2), 65–82.
  • Lord, F. M., & Novick, M. (1968). Statistical theories of mental test scores. Reading, MA: Addison-Wesley.
  • McDonald, R. P. (1974). The measurement of factor indeterminacy. Psychometrika, 39(2), 203–222.
  • McDonald, R. P. (1996). Latent traits and the possibility of motion. Multivariate Behavioral Research, 31(4), 593–601.
  • McDonald, R. P. (1999). Test theory. Mahwah, NJ: Erlbaum Associates.
  • Moore, E. H. (1920). On the reciprocal of the general algebraic matrix. Bulletin of the American Mathematical Society, 26(9), 394–395.
  • Mulaik, S. A. (1976). Comments on “The measurement of factorial indeterminacy”. Psychometrika, 41(2), 249–262.
  • Nicewander, W. A. (2018a). Modifying Spearman’s attenuation equation to yield partial correction for measurement error—With applications for sample size calculations. Educational and Psychological Measurement, 78(1), 70–79. doi:10.1177/0013164417713571
  • Nicewander, W. A. (2018b). Conditional reliability coefficients for test scores. Psychological Methods, 23(2), 351–362. doi:10.1037/met0000132
  • Schönemann, P. H. (1971). The minimum average correlation between equivalent sets of uncorrelated factors. Psychometrika, 36, 21–30.
  • Steiger, J. H. (1996). Coming full circle in the history of factor indeterminacy. Multivariate Behavioral Research, 31(4), 617–630.
  • Steiger, J., & Schönemann, P. H. (1978). A history of factor indeterminacy. In S. Shye (Ed.), Theory construction and data analysis in the social sciences (pp.136–179). San Francisco, CA: Jossey Bass. doi:10.1093/sw/14.4.115
  • Thissen, D. (1990). Reliability and measurement precision. In H. Wainer (Ed.), Computerized adaptive testing: A primer (pp. 161–186). Hillsdale, NJ: Erlbaum.
  • Thompson, G. H. (1934). The meaning of “i” in the solution of “g”. British Journal of Psychology, 25, 92–99.
  • Thurstone, L. L. (1935). The vectors of mind. Chicago: University of Chicago Press.
  • Thurstone, L. L. (1947). Multiple factor analysis. Chicago, IL: University of Chicago Press.
  • van der Linden, W. (2016). Unidimensional logistic models. In W. van der Linden (Ed.), Handbook of item response theory (Vol. 1, pp. 13–30). New York, NY: CRC Press.

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