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Indeterminacy Problems in the Lisrel Model

Bibliographic Data

ID19291945
AuthorsG Vittadini (0000-0002-0375-9763, corresponding author)
Year1989
Volume24
Issue4
Pages397-414
Publication date1989-10-01
Open AccessNo
TypeARTICLE
VenueMultivariate Behavioral Research (JOURNAL)
Journal identifiersISSN: 0027-3171 • E-ISSN: 1532-7906
PublisherInforma UK Limited (PUBLISHER • GB)
DOI10.1207/s15327906mbr2404_1
PMID26753506
OpenAlexW2066117976
LanguageEN
Citations received5
References cited15

The latent variables and errors of the Lisrel model are indeterminate even when the parameters of the model are perfectly identified. The reason for the indeterminacy is that the Lisrel model gives a solution in terms of estimation of latent variables by means of observed variables. The indeterminacy is relevant also in practice; the minimum correlation between equivalent latent variables, is often negative in empirical examples. The degree of indeterminacy of the latent variables depends on the data. The average minimum correlation is a linear combination of the eigenvalues of the correlation matrix of solutions and it is always included in weak bounds which depend on the same eigenvalues

Canonical correlation · Correlation · Covariance matrix · Econometrics · Eigenvalues and eigenvectors · Indeterminacy (philosophy) · Indeterminate · Latent class model · Latent variable · Latent variable model · LISREL · Statistics · Structural equation modeling · Applied Mathematics · Bayesian Modeling and Causal Inference · Mathematics · Statistical and numerical algorithms · Statistical Methods and Inference

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Citations per year0.17
Citation span1996 - 2014 (19)
Highly citedNo
Open DOISci-Hub
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