Structural equation models with continuous and polytomous variables

DOI10.1007/BF02294660zbMath0760.62099OpenAlexW2070459503MaRDI QIDQ1205770

Sik-Yum Lee, Wai-Yin Poon, Peter M. Bentler

Publication date: 1 April 1993

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294660

zbMATH Keywords

thresholdsmaximum likelihood estimatesstructural equation modelstwo-stage procedurepolytomous variablesvariancesasymptotic covariance matrix of the estimatesgeneralized least squares approachpolychoric correlationspolychoric covariancespolyserial correlationspolyserial covariancesstructural covariance model

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Applications of statistics to psychology (62P15)

Related Items (15)

Pairwise likelihood ratio tests and model selection criteria for structural equation models with ordinal variables ⋮ A Bayesian estimation of factor score in confirmatory factor model with polytomous, censored or truncated data ⋮ Pairwise likelihood estimation for factor analysis models with ordinal data ⋮ Multilevel <scp>SEM</scp> with random slopes in discrete data using the pairwise maximum likelihood ⋮ Analysis of structural equation model with ignorable missing continuous and polytomous data ⋮ A note on exploratory item factor analysis by singular value decomposition ⋮ Technical aspects of Muthén's LISCOMP approach to estimation of latent variable relations with a comprehensive measurement model ⋮ Ridge structural equation modelling with correlation matrices for ordinal and continuous data ⋮ Maximum likelihood estimation and model comparison of nonlinear structural equation models with continuous and polytomous variables ⋮ Generalized latent trait models ⋮ Latent variable models with ordinal categorical covariates ⋮ Geometric representation of association between categories ⋮ Dynamic analysis of multivariate panel data with nonlinear transformations ⋮ Bayesian Structural Equations Modeling for Ordinal Response Data with Missing Responses and Missing Covariates ⋮ Sampling of pairs in pairwise likelihood estimation for latent variable models with categorical observed variables

Uses Software

• SPSS
• LISREL
• EQS
• PRELIS
• BMDP

Cites Work

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• A study of algorithms for covariance structure analysis with specific comparisons using factor analysis
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• Matrix derivatives with chain rule and rules for simple, Hadamard, and Kronecker products
• Contributions to factor analysis of dichotomous variables
• Full maximum likelihood analysis of structural equation models with polytomous variables
• Model conditions for asymptotic robustness in the analysis of linear relations
• A Method of Generating Best Asymptotically Normal Estimates with Application to the Estimation of Bacterial Densities
• Algorithm AS 195: Multivariate Normal Probabilities with Error Bound
• Robustness of statistical inference in factor analysis and related models
• The multiplier method in constrained estimation of covariance structure models
• Asymptotically distribution‐free methods for the analysis of covariance structures

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