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مدل رایش چند مقوله ای×نظریه پاسخ آیت ترتیبی×
حوزهروان‌سنجیروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش1978–19821969
پدیدآورGerhard N. Masters (Partial Credit Model); David Andrich (Rating Scale Model)Fumiko Samejima (Graded Response Model, 1969); Gerhard Fischer & Georg Rasch lineage for partial credit
نوعItem response modelProbabilistic latent trait model for ordered polytomous responses
منبع بنیادینMasters, G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47(2), 149–174. DOI ↗Samejima, F. (1969). Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph Supplement, 34(4, Pt. 2), 1–97. link ↗
نام‌های دیگرPRM, Rating Scale Model, Partial Credit Model, Polytomous IRT Raschpolytomous IRT, ordinal IRT models, graded response models, ordinal latent trait models
مرتبط66
خلاصهThe Polytomous Rasch Model extends the dichotomous Rasch framework to ordered response scales with three or more categories, such as Likert items or partial-credit tasks. It estimates person ability and item difficulty on the same interval-level logit scale, and it tests whether the response categories function as intended — prerequisites for rigorous ordinal measurement.Ordinal item response theory (ordinal IRT) comprises a family of probabilistic models — most notably the Graded Response Model and the Partial Credit Model — that relate a respondent's standing on a latent trait to the probability of choosing each ordered response category on a polytomous item. It extends classical IRT beyond dichotomous items to the Likert-type and rating-scale items that dominate psychometric measurement.
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ScholarGateمقایسهٔ روش‌ها: Polytomous Rasch Model · Ordinal IRT. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare