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Drei-Parameter-Logistisches IRT-Modell (3PL)×Exploratorische Faktorenanalyse (EFA)×
FachgebietPsychometrieStatistik
FamilieLatent structureLatent structure
Entstehungsjahr1968
UrheberAllan Birnbaum
TypItem response model / latent trait modelLatent variable / dimension reduction
Wegweisende QuelleBirnbaum, 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 ↗Fabrigar, L. R., Wegener, D. T., MacCallum, R. C. & Strahan, E. J. (1999). Evaluating the use of exploratory factor analysis in psychological research. Psychological Methods, 4(3), 272–299. DOI ↗
Aliasnamen3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum modelcommon factor analysis, açımlayıcı faktör analizi, factor analysis
Verwandt54
ZusammenfassungThe 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.Exploratory factor analysis reduces a large set of observed variables into a smaller number of latent common factors. It is widely used in scale development and psychometrics to uncover the dimensional structure that underlies a set of correlated items, without specifying that structure in advance.
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ScholarGateMethoden vergleichen: 3PL IRT · EFA. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare