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A General Approach to Confirmatory Maximum Likelihood Factor Analysis
Abstract
We describe a general procedure by which any number of parameters of the factor analytic model can be held fixed at any values and the remaining free parameters estimated by the maximum likelihood method. The generality of the approach makes it possible to deal with all kinds of solutions: orthogonal, oblique and various mixtures of these. By choosing the fixed parameters appropriately, factors can be defined to have desired properties and make subsequent rotation unnecessary. The goodness of fit of the maximum likelihood solution under the hypothesis represented by the fixed parameters is tested by a large sample x2 test based on the likelihood ratio technique. A by-product of the procedure is an estimate of the variance-covariance matrix of the estimated parameters. From this, approximate confidence intervals for the parameters can be obtained. Several examples illustrating the usefulness of the procedure are given.
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Cited by
Evaluating Structural Equation Models with Unobservable Variables and Measurement Error
Fornell, C., & Larcker, D. F. (1981) · Journal of Marketing Research · doi:10.2307/3151312 · Cited by 109,314
Evaluating structural equation models with unobservable variables and measurement error
Fornell, C., & Larcker, D. F. (1981) · Journal of Marketing Research · doi:10.1177/002224378101800104 · Cited by 109,190
Hu, L., & Bentler, P. M. (1999) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705519909540118 · Cited by 108,788
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
“J6RESKOG, K. G. (1969).”
Culture and the self: Implications for cognition, emotion, and motivation.
Markus, H. R., & Kitayama, S. (1991) · Psychological Review · doi:10.1037/0033-295x.98.2.224 · Cited by 21,995
Metadata
- Authors
- Jöreskog, K. G.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1969-06
- Volume
- 34
- Issue
- 2
- Pages
- 183-202
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2030741364
- Cited by
- 2,489
- References
- 0
- FWCI
- 26.54
- Type
- journal article
- Language
- en
- Open access
- closed
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