The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality

DOI10.1007/BF02289858zbMath1306.62529MaRDI QIDQ2260014

Jos M. F. ten Berge, Gregor Sočan

Publication date: 5 March 2015

Published in: Psychometrika (Search for Journal in Brave)

zbMATH Keywords

reliabilitycongeneric testunidimensionality of a test

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Applications of statistics to psychology (62P15)

Related Items

Resampling-based inference methods for comparing two coefficients alpha ⋮ Lower bounds to the reliabilities of factor score estimators ⋮ Acquiescent responding in balanced multidimensional scales and exploratory factor analysis ⋮ On the use, the misuse, and the very limited usefulness of Cronbach's alpha ⋮ Alpha, dimension-free, and model-based internal consistency reliability ⋮ Coefficients alpha, beta, omega, and the glb: comments on Sijtsma ⋮ 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 ⋮ Quantile lower bounds to reliability based on locally optimal splits

Cites Work

• On the distribution of the maximum likelihood estimator of Cronbach's alpha
• A numerical approach to the approximate and the exact minimum rank of a covariance matrix
• Statistical inference of minimum rank factor analysis
• On robustness of the normal-theory based asymptotic distributions of three reliability coefficient estimates
• To what extent can communalities reduce rank ?
• Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis
• Weighted minimum trace factor analysis
• Inequalities among lower bounds to reliability: with applications to test construction and factor analysis
• Estimation of reliability and true score variance from a split of a test into three arbitrary parts
• The rank of reduced dispersion matrices
• Computational aspects of the greatest lower bound to the reliability and constrained minimum trace factor analysis
• 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
• Internal consistency of tests: Analyses old and new
• A basis for analyzing test-retest reliability
• THE THEORETICAL FOUNDATIONS OF PRINCIPAL FACTOR ANALYSIS, CANONICAL FACTOR ANALYSIS, AND ALPHA FACTOR ANALYSIS
• The Resolution of Six Tests into Three General Factors