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Potwierdzająca Analiza Czynnikowa dla Danych Politomicznych×Teoria odpowiedzi na pozycje (IRT)×
DziedzinaPsychometriaPsychometria
RodzinaLatent structureLatent structure
Rok powstania19841952–1968
TwórcaBengt MuthenFrederic M. Lord (and Allan Birnbaum for the 2PL/3PL models)
TypLatent variable / confirmatory measurement modelProbabilistic measurement model
Źródło pierwotneFlora, 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. DOI ↗Lord, F. M. & Novick, M. R. (1968). Statistical Theories of Mental Test Scores. Addison-Wesley. link ↗
Inne nazwyCFA for ordered categories, ordinal CFA, categorical CFA, WLSMV-CFAIRT, latent trait theory, item characteristic curve theory, modern test theory
Pokrewne55
PodsumowaniePolytomous 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.
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ScholarGatePorównaj metody: Polytomous Confirmatory Factor Analysis · Item Response Theory. Pobrano 2026-06-18 z https://scholargate.app/pl/compare