Alpha, dimension-free, and model-based internal consistency reliability

DOI10.1007/s11336-008-9100-1zbMath1284.62684OpenAlexW2092722188WikidataQ37450304 ScholiaQ37450304MaRDI QIDQ1013061

Peter M. Bentler

Publication date: 16 April 2009

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2786226

zbMATH Keywords

commonuniqueerror scorestrue

Mathematics Subject Classification ID

Applications of statistics to psychology (62P15)

Related Items

Covariate-free and covariate-dependent reliability, McDonald's ω_t, Cronbach's α, and Generalized θ for Composite Reliability of Common Factors Structures, Resampling-based inference methods for comparing two coefficients alpha, Lower bounds to the reliabilities of factor score estimators, Reliability of summed item scores using structural equation modeling: an alternative to coefficient alpha, Reliability beyond theory and into practice, Part II: On the use, the misuse, and the very limited usefulness of Cronbach's alpha: discussing lower bounds and correlated errors, Alpha, FACTT, and beyond, A test can have multiple reliabilities., The reliability factor: modeling individual reliability with multiple items from a single assessment

Uses Software

• EQS

Cites Work

• Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis
• Minimum rank and minimum trace of covariance matrices
• On the use, the misuse, and the very limited usefulness of Cronbach's alpha
• Inequalities among lower bounds to reliability: with applications to test construction and factor analysis
• Computational aspects of the greatest lower bound to the reliability and constrained minimum trace factor analysis
• The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability
• The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality
• Cronbach's \(\alpha\), Revelle's \(\beta\), and McDonald's \(\omega_h\): their relations with each other and two alternative conceptualizations of reliability
• Statistical analysis of sets of congeneric tests
• A two‐stage estimation of structural equation models with continuous and polytomous variables