Latent traits and the possibility of motion

Multivariate Behavioral Research

Volumn 31, Issue 4, 1996, Pages 593-601

  McDonald, Roderick P ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030569041     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15327906mbr3104_12     Document Type: Article

References (33)

1. Anderson, T. W. & Rubin, J. (1956). Statistical inference in factor analysis. Proceedings of the Third Berkeley Symposium in mathematical Statistics and Probability, Vol. V.
2. Auden, W. H. (1991). Venus will now say a few words. Poems, 1929-1932, in Collected Poems. New York: Vintage Books.
3. Bartholomew, D. J. (1981). Posterior analysis of the factor model. British Journal of Mathematical and Statistical Psychology, 34, 93-99.
4. Bartlett, M. S. (1937). The statistical conception of mental factors. British Journal of Psychology, 28, 97-104.
5. Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
6. Carroll, L. (1981/1871). Through the looking glass. New York: Bantam Books.
7. Christoffersson, A. (1975). Factor analysis of dichotomized variables. Psychometrika, 40, 5-22.
8. Guttman, L. (1953). Image theory for the structure of quantitative variates. Psychometrika, 18, 277-296.
9. Guttman, L. (1954). Some necessary conditions for common factor analysis. Psychometrika, 19, 149-161.
10. Guttman, L. (1955). The determinacy of factor score matrices with implications for five other basic problems of factor theory. British Journal of Statistical Psychology, 8, 65-82.
11. Guttman, L. (1956). "Best possible" systematic estimates of communalities. Psychometrika, 21, 273-285.
12. Guttman, L. (1977). What is not what in statistics. The Statistician, 26, 81-107.
13. Kestelman, H. (1952). The fundamental equation of factor analysis. British Journal of Psychology, Statistical Section, 5, 1-6.
14. Maraun, M. D. (1996). Metaphor taken as math: Indeterminacy in the factor analysis model. Multivariate Behavioral Research, 31(4), 517-538.
15. McDonald, R. P. (1967). Nonlinear factor analysis. Psychometric Monograph No. 15.
16. McDonald, R. P. (1974). The measurement of factor indeterminacy. Psychometrika, 39, 203-222.
17. McDonald, R. P. (1976). A note on monotone polygons fitted to bivariate data. Psychometrika, 41, 543-546.
18. McDonald, R. P. (1977). The indeterminacy of components and the definition of common factors. British Journal of Mathematical and Statistical Psychology, 30, 165-176.
19. McDonald, R. P. (1981a). The dimensionality of tests and items. British Journal of mathematical and statistical Psychology, 34, 100-117.
20. McDonald, R. P. (1981b). Constrained least squares estimators of oblique common factors. Psychometrika, 46, 337-341.
21. McDonald, R. P. (1982). Linear versus nonlinear models in item response theory. Applied Psychological Measurement, 6, 379-396.
22. McDonald, R. P. (in press). Test theory: A unified treatment. Harper Collins.
23. McDonald, R. P. & Burr, E. J. (1967). A comparison of four methods of constructing factor scores. Psychometrika, 32, 381-401.
24. McDonald, R. P. & Mulaik, S. A. (1979). Determinacy of common factors: A non-technical review. Psychological Bulletin, 86, 297-306.
25. Mulaik, S. A. & McDonald, R. P. (1978). The effect of additional variables on factor indeterminacy in models with a single common factor. Psychometrika, 43, 177-192.
26. Roff, M. (1936). Some properties of the communalities in multiple factor theory. Psychometrika, 1, 1-6.
27. Schönemann, P. H. (1971). The minimum average correlation between equivalent sets of uncorrelated factors. Psychometrika, 36, 21-30.
28. Schönemann, P. H. (1973). Erratum. Psychometrika, 38, 149.
29. Schönemann, P. H. & Steiger, J. H. (1976). Regression component analysis. British Journal of Mathematical and Statistical Psychology, 29, 175-189.
30. Schönemann, P. H. & Wang, M. M. (1972). Some new results on factor indeterminacy. Psychometrika, 37, 61-91.
31. Spearman, C. (1933). The uniqueness and exactness of g. British Journal of Psychology, 24, 106-108.
32. Tziner, A. (1991). For the record...Reply to McDonald's review of "The facet analytic approach to research and data analysis". Applied Psychological Measurement, 15, 192 & 206.
33. Williams, J. S. (1978). A definition for the common factor model and the elimination of problems of factor score indeterminacy. Psychometrika, 43, 293-306.