Heteroscedastic one-factor models and marginal maximum likelihood estimation

British Journal of Mathematical and Statistical Psychology

Volumn 62, Issue 1, 2009, Pages 57-77

  Hessen, David J ^a   Dolan, Conor V ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HUMAN; PSYCHOLOGICAL MODEL; PSYCHOLOGY; PSYCHOMETRY; REPRODUCIBILITY; STATISTICAL MODEL; STATISTICS;

HUMANS; LIKELIHOOD FUNCTIONS; MODELS, PSYCHOLOGICAL; PSYCHOLOGY; PSYCHOMETRICS; REPRODUCIBILITY OF RESULTS;

EID: 65549150932     PISSN: 00071102     EISSN: None     Source Type: Journal    
DOI: 10.1348/000711007X248884     Document Type: Article

References (26)

1. Bock, R. D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: Application of an EM algorithm. Psychometrika, 46, 443-459.
2. Bock, R. D., & Lieberman, M. (1970). Fitting a response model for n dichotomously scored items. Psychometrika, 35, 179-197.
3. Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
4. Bollen, K. A. (1996). A limited-information estimator for LISREL models with or without heteroscedastic errors. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Issues and techniques (pp. 227-241). Mahwah, NJ: Erlbaum.
5. Buse, A. (1982). The likelihood ratio, Wald, and Lagrange multiplier tests: An expository note. American Statistician, 36, 153-157.
6. Deary, I. J., Egan, V., Gibson, G. J., Austin, E. J., Brand, C. R., & Kellaghan, T. (1996). Intelligence and the differentiation hypothesis. Intelligence, 23, 105-132.
7. Detterman, D. K., & Daniel, M. H. (1989). Correlations of mental tests with each other and with cognitive variables are highest for the low IQ groups. Intelligence, 13, 349-359.
8. Harvey, A. C. (1976). Estimating regression models with multiplicative heteroscedasticity. Econometrica, 44, 461-465.
9. Jöreskog, K. G. (1967). Some contributions to maximum likelihood factor analysis. Psychometrika, 32, 443-482.
10. Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34, 183-202.
11. Lawley, D. N. (1940). The estimation of factor loadings by the method of maximum likelihood. Proceedings of the Royal Society of Edinburgh, Section A, 60, 64-82.
12. Lawley, D. N. (1942). Further investigations in factor estimation. Proceedings of the Royal Society of Edinburgh, Section A, 61, 176-185.
13. Lawley, D. N. (1943). The application of the maximum likelihood method to factor analysis. British Journal of Psychology, 33, 172-175.
14. Lawley, D. N., & Maxwell, A. E. (1971). Factor analysis as a statistical method. London: Butterworth.
15. Lewin-Koh, S., & Amemiya, Y. (2003). Heteroscedastic factor analysis. Biometrika, 90, 85-97.
16. Meijer, E., & Mooijaart, A. (1996). Factor analysis with heteroscedastic errors. British Journal of Mathematical and Statistical Psychology, 49, 189-202.
17. Mellenbergh, G. J. (1994). A unidimensional latent trait model for continuous item responses. Multivariate Behavioral Research, 29, 223-236.
18. Neale, M. C., Boker, S. M., Xie, G., & Maes, H. H. (2004). Mx: Statistical modeling (6th ed.). Virginia Commonwealth University, Box 900126 Richmond, VA 23298: Department of Psychiatry.
19. Neale, M. C., & Miller, M. (1997). The use of likelihood-based confidence intervals in genetic models. Behavior Genetics, 27, 113-120.
20. Osborne, R. T. (1980). Twins: Black and white. Athens, GA: Foundation for Human Understanding.
21. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (1992). Numerical recipes in C: The art of scientific computing. Cambridge: Cambridge University Press.
22. Rutemiller, H. C., & Bowers, D. A. (1968). Estimation in a heteroscedastic regression model. Journal of the American Statistical Association, 63, 552-557.
23. Spearman, C. (1927). The abilities of man: Their nature and measurement. New York: Macmillan.
24. Stroud, A. H., & Secrest, D. (1966). Gaussian quadrature formulas. Englewood Cliffs, NJ: Prentice Hall.
25. Thurstone, T. G. (1963). Examiner's manual IBM 805 edition, primary mental abilities, for grades 9-12. Chicago: Science Research Associates.
26. Venzon, D. J., & Moolgavkar, S. H. (1988). A method for computing profile likelihood-based confidence intervals. Applied Statistics, 37, 87-94.