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Alternative Test Criteria in Covariance Structure Analysis: A Unified Approach
Abstract
In the context of covariance structure analysis, a unified approach to the asymptotic theory of alternative test criteria for testing parametric restrictions is provided. The discussion develops within a general framework that distinguishes whether or not the fitting function is asymptotically optimal, and allows the null and alternative hypothesis to be only approximations of the true model. Also, the equivalent of the information matrix, and the asymptotic covariance matrix of the vector of summary statistics, are allowed to be singular. When the fitting function is not asymptotically optimal, test statistics which have asymptotically a chi-square distribution are developed as a natural generalization of more classical ones. Issues relevant for power analysis, and the asymptotic theory of a testing related statistic, are also investigated.
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Cites
Cox, D. R., & Hinkley, D. V. (1974) · doi:10.1007/978-1-4899-2887-0 · Cited by 3,089
Cited by
Comparative fit indexes in structural models.
Bentler, P. M. (1990) · Psychological Bulletin · doi:10.1037/0033-2909.107.2.238 · Cited by 25,266
Practical issues in structural modeling
BENTLER, P. M., & CHOU, C.-P. (1987) · Sociological Methods & Research · doi:10.1177/0049124187016001004 · Cited by 5,804
A scaled difference chi-square test statistic for moment structure analysis
Satorra, A., & Bentler, P. M. (2001) · Psychometrika · doi:10.1007/bf02296192 · Cited by 5,282
Self-citationModel modifications in covariance structure analysis: The problem of capitalization on chance.
MacCallum, R. C., Roznowski, M., & Necowitz, L. B. (1992) · Psychological Bulletin · doi:10.1037//0033-2909.111.3.490 · Cited by 1,632
Complex Sample Data in Structural Equation Modeling
Muthen, B. O., & Satorra, A. (1995) · Sociological Methodology · doi:10.2307/271070 · Cited by 1,586
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Metadata
- Authors
- Satorra, A.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1989-03
- Volume
- 54
- Issue
- 1
- Pages
- 131-151
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2032828899
- Cited by
- 216
- References
- 1
- FWCI
- 14.85
- Type
- journal article
- Language
- en
- Open access
- closed
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