Bayesian Estimation in Unrestricted Factor Analysis: A Treatment for Heywood Cases
- 1 December 1975
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 40 (4) , 505-517
- https://doi.org/10.1007/bf02291552
Abstract
A Bayesian procedure is given for estimation in unrestricted common factor analysis. A choice of the form of the prior distribution is justified. It is shown empirically that the procedure achieves its objective of avoiding inadmissible estimates of unique variances, and is reasonably insensitive to certain variations in the shape of the prior distribution.Keywords
This publication has 11 references indexed in Scilit:
- Bayesian inference and the classical test theory model: Reliability and true scoresPsychometrika, 1971
- A RAPIDLY CONVERGENT METHOD FOR MAXIMUM‐LIKELIHOOD FACTOR ANALYSISBritish Journal of Mathematical and Statistical Psychology, 1970
- A Newton-Raphson Algorithm for Maximum Likelihood Factor AnalysisPsychometrika, 1969
- ANXIETY AND EDUCATIONAL ACHIEVEMENTBritish Journal of Educational Psychology, 1968
- Some Contributions to Maximum Likelihood Factor AnalysisPsychometrika, 1967
- Inference about Variance Components in the One-Way ModelJournal of the American Statistical Association, 1965
- “Best Possible” Systematic Estimates of CommunalitiesPsychometrika, 1956
- Image Theory for the Structure of Quantitative VariatesPsychometrika, 1953
- VI.—The Estimation of Factor Loadings by the Method of Maximum LikelihoodProceedings of the Royal Society of Edinburgh, 1940
- On finite sequences of real numbersProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1931