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Model stupňované odezvy (GRM)×Model logistické teorie odpovědi na položku se třemi parametry (3PL)×
OborPsychometrikaPsychometrika
RodinaLatent structureLatent structure
Rok vzniku19691968
TvůrceFumiko SamejimaAllan Birnbaum
TypItem response theory / polytomous IRT modelItem response model / latent trait model
Původní zdrojSamejima, 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 ↗
Další názvySamejima's GRM, Derecelendirilmiş Tepki Modeli (GRM), graded IRT model3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model
Příbuzné75
ShrnutíThe 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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ScholarGatePorovnat metody: GRM · 3PL IRT. Získáno 2026-06-18 z https://scholargate.app/cs/compare