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3모수 로지스틱 문항반응이론 모형 (3PL)×확인적 요인분석(CFA)×
분야심리측정학통계학
계열Latent structureLatent structure
기원 연도19681969
창시자Allan BirnbaumKarl Jöreskog
유형Item response model / latent trait modelConfirmatory latent variable model
원전Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee's ability. In F. M. Lord & M. R. Novick (Eds.), Statistical theories of mental test scores (pp. 397–479). Addison-Wesley. link ↗Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363
별칭3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum modelDoğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model
관련54
요약The three-parameter logistic (3PL) model, introduced by Allan Birnbaum in 1968, is an item response theory model that describes the probability of a correct response to a binary test item as a function of three item-level parameters — difficulty, discrimination, and a lower asymptote representing guessing — and one person-level parameter representing latent ability.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.
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