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| Tre-parameter logistisk IRT-model (3PL)× | Rasch-modellen× | |
|---|---|---|
| Fagområde | Psykometri | Psykometri |
| Familie | Latent structure | Latent structure |
| Oprindelsesår≠ | 1968 | 1960 |
| Ophavsperson≠ | Allan Birnbaum | Georg Rasch |
| Type≠ | Item response model / latent trait model | Item Response Theory / Latent trait model |
| Oprindelig kilde≠ | 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 ↗ | Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Danish Institute for Educational Research, Copenhagen. link ↗ |
| Aliasser | 3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model | 1PL IRT, one-parameter logistic model, Rasch Modeli — 1PL IRT, 1PL model |
| Relaterede≠ | 5 | 6 |
| Resumé≠ | 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. | The Rasch model, introduced by Georg Rasch in 1960, is the simplest member of the Item Response Theory (IRT) family. It assigns a single difficulty parameter to each test item and places both item difficulties and person abilities on the same logit scale, enabling direct, sample-independent comparison of items and persons. |
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