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| Graded Response Model (GRM)× | Tre-parameter logistisk IRT-model (3PL)× | |
|---|---|---|
| Fagområde | Psykometri | Psykometri |
| Familie | Latent structure | Latent structure |
| Oprindelsesår≠ | 1969 | 1968 |
| Ophavsperson≠ | Fumiko Samejima | Allan Birnbaum |
| Type≠ | Item response theory / polytomous IRT model | Item response model / latent trait model |
| Oprindelig kilde≠ | Samejima, F. (1969). Estimation of Latent Ability Using a Response Pattern of Graded Scores. Psychometrika Monograph Supplement, No. 17. 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 ↗ |
| Aliasser≠ | Samejima's GRM, Derecelendirilmiş Tepki Modeli (GRM), graded IRT model | 3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model |
| Relaterede≠ | 7 | 5 |
| Resumé≠ | The Graded Response Model is an item response theory model developed by Fumiko Samejima in 1969 for ordered polytomous items such as Likert-type scales. It estimates both the discriminating power of each item and a set of threshold parameters marking the boundaries between adjacent response categories, while simultaneously placing persons on a continuous latent trait scale. | 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. |
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