Порівняння методів

	Байєсівський аналіз елементів	Байєсівський конфірматорний факторний аналіз (BCFA)
Галузь	Психометрія	Психометрія
Родина	Latent structure	Latent structure
Рік появи	1990s–2000s	2007–2012
Автор методу	Originated in Bayesian psychometrics literature, developed extensively by Jean-Paul Fox and colleagues	Sik-Yum Lee; Bengt Muthén and Tihomir Asparouhov
Тип	Bayesian inference / item-level diagnostics	Bayesian latent variable model
Основоположне джерело	Fox, J.-P. (2010). Bayesian Item Response Modeling: Theory and Applications. Springer.	Lee, S.-Y. (2007). Structural Equation Modeling: A Bayesian Approach. Wiley. ISBN: 978-0470024232
Інші назви	BIA, Bayesian classical item analysis, Bayesian item statistics, Bayesian item-level diagnostics	BCFA, Bayesian CFA, Bayesian structural equation measurement model, Bayes-CFA
Пов'язані	4	4
Підсумок	Bayesian item analysis applies Bayesian inference to estimate item-level statistics — difficulty, discrimination, and distractor effectiveness — by combining observed response data with prior knowledge. It produces full posterior distributions over item parameters rather than single point estimates, providing richer uncertainty information especially with small samples.	Bayesian confirmatory factor analysis tests a pre-specified factor structure using Bayesian inference. Instead of point estimates with p-values, it produces full posterior distributions for loadings, factor correlations, and residual variances, allowing the researcher to incorporate prior knowledge and propagate parameter uncertainty naturally.