手法を比較

	順序多値確認的因子分析	項目応答理論 (IRT)
分野	心理測定学	心理測定学
系統	Latent structure	Latent structure
提唱年	1984	1952–1968
提唱者	Bengt Muthen	Frederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
種類	Latent variable / confirmatory measurement model	Probabilistic measurement model
原典	Flora, D. B. & Curran, P. J. (2004). An empirical evaluation of alternative methods of estimation for confirmatory factor analysis with ordinal data. Psychological Methods, 9(4), 466–491.	Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley.
別名	CFA for ordered categories, ordinal CFA, categorical CFA, WLSMV-CFA	IRT, latent trait theory, item characteristic curve theory, modern test theory
関連	5	5
概要	Polytomous confirmatory factor analysis (CFA) tests a pre-specified factor structure when items have three or more ordered response categories (e.g., Likert scales). By working with polychoric correlations and robust estimators such as WLSMV, it avoids the distortions that arise when ordered categorical data are treated as continuous.	Item response theory models the probability that a respondent answers an item correctly (or endorses it) as a function of the respondent's latent trait level and the item's own statistical properties — difficulty, discrimination, and guessing. Unlike classical test theory, IRT places persons and items on the same scale, yielding measurement that is sample-independent for items and test-independent for persons.