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Modèle logistique à deux paramètres de la théorie de la réponse à l'item (2PL)×Modèle logistique à trois paramètres de la TRI (3PL)×
DomainePsychométriePsychométrie
FamilleLatent structureLatent structure
Année d'origine19801968
Auteur d'origineFrederic M. LordAllan Birnbaum
TypeItem response model / latent trait modelItem response model / latent trait model
Source fondatriceLord, F. M. (1980). Applications of Item Response Theory to Practical Testing Problems. Erlbaum. link ↗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. link ↗
Aliastwo-parameter logistic model, 2PL model, 2PL IRT — İki Parametreli Madde Tepki Modeli3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model
Apparentées65
RésuméThe two-parameter logistic item response model, formalised by Frederic Lord (1980), describes the probability that a respondent answers a binary test item correctly as a smooth S-shaped function of the respondent's latent ability. By estimating a separate discrimination parameter for each item alongside a difficulty parameter, 2PL allows items to differ in how sharply they distinguish high- from low-ability respondents — making it the standard model for large-scale educational and psychological assessments.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.
ScholarGateJeu de données
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  3. PUBLISHED

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ScholarGateComparer des méthodes: 2PL IRT · 3PL IRT. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare