On robustness of the normal-theory based asymptotic distributions of three reliability coefficient estimates

DOI10.1007/BF02294845zbMath1297.62244OpenAlexW2023390259MaRDI QIDQ463098

Peter M. Bentler, Ke-Hai Yuan

Publication date: 15 October 2014

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294845

zbMATH Keywords

asymptotic distributionkurtosisskewnessCronbach's alphamaximal reliabilitypseudo normal distributions

Mathematics Subject Classification ID

Robustness and adaptive procedures (parametric inference) (62F35) Reliability and life testing (62N05) Applications of statistics to psychology (62P15)

Related Items

McDonald's ω_t, Cronbach's α, and Generalized θ for Composite Reliability of Common Factors Structures ⋮ Asymptotic robustness of the normal theory likelihood ratio statistic for two-level covariance structure models ⋮ The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality ⋮ Mean comparison: manifest variable versus latent variable ⋮ On the estimators of model-based and maximal reliability ⋮ Quantile lower bounds to reliability based on locally optimal splits

Cites Work

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• On the distribution of the maximum likelihood estimator of Cronbach's alpha
• A method for simulating non-normal distributions
• A numerical approach to the approximate and the exact minimum rank of a covariance matrix
• Simulating multivariate nonnormal distributions
• On simulating non-normal distributions
• A unifying expression for the maximal reliability of a linear composite
• Inferences on correlation coefficients in some classes of nonnormal distributions
• Coefficient alpha and the internal structure of tests
• The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability
• Simulating correlated multivariate nonnormal distributions: extending the Fleishman power method
• Coefficients alpha and reliabilities of unrotated and rotated components
• The statistical theory of stepped-up reliability coefficients when a test has been divided into several equivalent parts
• A basis for analyzing test-retest reliability
• The multivariate skew-normal distribution