The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality
From MaRDI portal
Publication:2260014
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)
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