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| Drei-Parameter-Logistisches IRT-Modell (3PL)× | Bestätigende Faktorenanalyse (CFA)× | |
|---|---|---|
| Fachgebiet≠ | Psychometrie | Statistik |
| Familie | Latent structure | Latent structure |
| Entstehungsjahr≠ | 1968 | 1969 |
| Urheber≠ | Allan Birnbaum | Karl Jöreskog |
| Typ≠ | Item response model / latent trait model | Confirmatory latent variable model |
| Wegweisende Quelle≠ | 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 ↗ | Brown, T. A. (2015). Confirmatory Factor Analysis for Applied Research (2nd ed.). The Guilford Press. ISBN: 978-1462515363 |
| Aliasnamen≠ | 3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model | Doğrulayıcı Faktör Analizi (CFA), confirmatory factor analysis, measurement model |
| Verwandt≠ | 5 | 4 |
| Zusammenfassung≠ | 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. |
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