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مدل لجستیک دو پارامتری نظریه پاسخ به سؤال (2PL)×مدل پاسخ ردیف (GRM)×
حوزهروان‌سنجیروان‌سنجی
خانوادهLatent structureLatent structure
سال پیدایش19801969
پدیدآورFrederic M. LordFumiko Samejima
نوعItem response model / latent trait modelItem response theory / polytomous IRT model
منبع بنیادینLord, F. M. (1980). Applications of Item Response Theory to Practical Testing Problems. Erlbaum. link ↗Samejima, F. (1969). Estimation of Latent Ability Using a Response Pattern of Graded Scores. Psychometrika Monograph Supplement, No. 17. link ↗
نام‌های دیگرtwo-parameter logistic model, 2PL model, 2PL IRT — İki Parametreli Madde Tepki ModeliSamejima's GRM, Derecelendirilmiş Tepki Modeli (GRM), graded IRT model
مرتبط67
خلاصهThe two-parameter logistic item response model, formalised by Frederic Lord (1980), describes the probability that a respondent answers a binary test item correctly as a smooth S-shaped function of the respondent's latent ability. By estimating a separate discrimination parameter for each item alongside a difficulty parameter, 2PL allows items to differ in how sharply they distinguish high- from low-ability respondents — making it the standard model for large-scale educational and psychological assessments.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.
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ScholarGateمقایسهٔ روش‌ها: 2PL IRT · GRM. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare