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مدل سه پارامتری لجستیک (3PL) در نظریه پاسخ به آیتم (IRT)×آلفای کرونباخ (تحلیل پایایی)×
حوزهروان‌سنجیآمار
خانوادهLatent structureLatent structure
سال پیدایش19681951
پدیدآورAllan BirnbaumLee J. Cronbach
نوعItem response model / latent trait modelReliability / internal consistency coefficient
منبع بنیادینBirnbaum, 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 ↗Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. DOI ↗
نام‌های دیگر3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum modelcoefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha)
مرتبط54
خلاصهThe 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.Cronbach's alpha is a coefficient of internal consistency that quantifies the degree to which a set of items on a scale measures the same underlying construct. Introduced by Lee J. Cronbach in 1951, it remains the most widely reported reliability index in social-science, health, and educational research.
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ScholarGateمقایسهٔ روش‌ها: 3PL IRT · Cronbach's Alpha. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare