手法を比較

	3パラメータロジスティックIRTモデル（3PL）	確認的因子分析（CFA）
分野	心理測定学	統計学
系統	Latent structure	Latent structure
提唱年	1968	1969
提唱者	Allan Birnbaum	Karl Jöreskog
種類	Item response model / latent trait model	Confirmatory latent variable model
原典	Birnbaum, 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.	Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363
別名	3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model	Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model
関連	5	4
概要	The 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.