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A General Structural Equation Model with Dichotomous, Ordered Categorical, and Continuous Latent Variable Indicators
Abstract
A structural equation model is proposed with a generalized measurement part, allowing for dichotomous and ordered categorical variables (indicators) in addition to continuous ones. A computationally feasible three-stage estimator is proposed for any combination of observed variable types. This approach provides large-sample chi-square tests of fit and standard errors of estimates for situations not previously covered. Two multiple-indicator modeling examples are given. One is a simultaneous analysis of two groups with a structural equation model underlying skewed Likert variables. The second is a longitudinal model with a structural model for multivariate probit regressions.
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“In order to respect the level of measurement of the proposed constructs in the form of Likert-type scales, the analyses were based on polychoric correlation matrices [69] using the SEM diagonally weighted least squares (DWLS) estimator [70].”
From The Relationship between Self-Esteem, Self-Efficacy, and Career Decision-Making Difficulties: Psychological Flourishing as a Mediator (2023) · cites this paper as [70]
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Metadata
- Authors
- Muthén, B.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1984-03
- Volume
- 49
- Issue
- 1
- Pages
- 115-132
- ISSN
- 0033-3123
- 1860-0980
- Cited by
- 1,544
- References
- 1
- Language
- en
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