The asymptotic bias of minimum trace factor analysis, with applications to the greatest lower bound to reliability
From MaRDI portal
Publication:2250641
DOI10.1007/BF02296154zbMath1291.62245OpenAlexW1988538494MaRDI QIDQ2250641
Jos M. F. ten Berge, Alexander Shapiro
Publication date: 18 July 2014
Published in: Psychometrika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02296154
reliabilityasymptotic normalitysemidefinite programmingasymptotic biaslarge sample theoryminimum trace factor analysis
Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to psychology (62P15)
Related Items
Statistical inference of minimum rank factor analysis ⋮ On robustness of the normal-theory based asymptotic distributions of three reliability coefficient estimates ⋮ The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality ⋮ On the use, the misuse, and the very limited usefulness of Cronbach's alpha ⋮ Alpha, dimension-free, and model-based internal consistency reliability ⋮ Alpha, FACTT, and beyond ⋮ Rank regularized estimation of approximate factor models ⋮ Quantile lower bounds to reliability based on locally optimal splits
Cites Work
- Unnamed Item
- Unnamed Item
- Rank-reducibility of a symmetric matrix and sampling theory of minimum trace factor analysis
- Minimum rank and minimum trace of covariance matrices
- Inequalities among lower bounds to reliability: with applications to test construction and factor analysis
- A series of lower bounds to the reliability of a test
- First and second order analysis of nonlinear semidefinite programs
- Computational aspects of the greatest lower bound to the reliability and constrained minimum trace factor analysis
- Coefficient alpha and the internal structure of tests
- Internal consistency of tests: Analyses old and new
- A basis for analyzing test-retest reliability
- Semidefinite Programming
- Convex Analysis
- Linear Statistical Inference and its Applications