A theorem on the rank of a product of matrices with illustration of its use in goodness of fit testing

DOI10.1007/s11336-014-9438-5zbMath1329.62465OpenAlexW2071064316WikidataQ41653992 ScholiaQ41653992MaRDI QIDQ906045

Albert Satorra, Heinz Neudecker

Publication date: 29 January 2016

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11336-014-9438-5

zbMATH Keywords

matrix algebraWald teststructural equation modelingrank deficiencyaugmented moment structureschi-square goodness of fit test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Applications of statistics to psychology (62P15)

Related Items (1)

A Note on Goodness-of-Fit Test in Latent Variable Models with Categorical Variables

Cites Work

• Unnamed Item
• A matrix equality useful in goodness-of-fit testing of structural equation models
• Continuous orthogonal complement functions and distribution-free goodness of fit tests in moment structure analysis
• The nonsingularity of \(\varGamma\) in covariance structure analysis of nonnormal data
• Generalized Inverses, Wald's Method, and the Construction of Chi-Squared Tests of Fit
• ASYMPTOTIC ROBUSTNESS IN MULTIPLE GROUP LINEAR-LATENT VARIABLE MODELS
• Asymptotically distribution‐free methods for the analysis of covariance structures
• On the Continuity of the Generalized Inverse
• On Stochastic Limit and Order Relationships

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