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| Bayesovská faktorová analýza× | Bayesovská regresia× | Konfirmačná faktorová analýza (CFA)× | Exploratory Factor Analysis (EFA)× | |
|---|---|---|---|---|
| Odbor≠ | Bayesovské metódy | Bayesovské metódy | Štatistika | Štatistika |
| Rodina≠ | Bayesian methods | Bayesian methods | Latent structure | Latent structure |
| Rok vzniku≠ | 2004 | — | 1969 | — |
| Tvorca≠ | Lopes & West (2004) for Bayesian model assessment in factor analysis | — | Karl Jöreskog | — |
| Typ≠ | Bayesian latent variable model | Bayesian linear model | Confirmatory latent variable model | Latent variable / dimension reduction |
| Pôvodný zdroj≠ | Lopes, H. F. & West, M. (2004). Bayesian Model Assessment in Factor Analysis. Statistica Sinica, 14(1), 41–67. link ↗ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363 | Fabrigar, L. R., Wegener, D. T., MacCallum, R. C. & Strahan, E. J. (1999). Evaluating the use of exploratory factor analysis in psychological research. Psychological Methods, 4(3), 272–299. DOI ↗ |
| Ďalšie názvy≠ | Bayesian EFA, Bayesian CFA, Bayesçi Faktör Analizi, probabilistic factor analysis | bayesian linear regression, probabilistic regression, bayesian regresyon | Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model | common factor analysis, açımlayıcı faktör analizi, factor analysis |
| Príbuzné≠ | 7 | 2 | 4 | 4 |
| Zhrnutie≠ | Bayesian Factor Analysis is a probabilistic latent-variable method that places prior distributions on the factor loading matrix and the residual variances, then infers a full posterior over these parameters from the observed data. Developed prominently in the Bayesian framework by Lopes and West (2004), it extends classical exploratory and confirmatory factor analysis by quantifying uncertainty in every estimated loading rather than reporting single point estimates. | Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off. | Confirmatory factor analysis tests whether a researcher-specified factor structure fits the observed data. Formalised by Karl Jöreskog in 1969, it is the measurement-model step within structural equation modelling and is the standard tool for validating the factorial structure of scales and questionnaires before comparing groups or estimating latent relationships. | Exploratory factor analysis reduces a large set of observed variables into a smaller number of latent common factors. It is widely used in scale development and psychometrics to uncover the dimensional structure that underlies a set of correlated items, without specifying that structure in advance. |
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