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مدل لجستیک دو پارامتری نظریه پاسخ به سؤال (2PL)×آلفای کرونباخ (تحلیل پایایی)×
حوزهروان‌سنجیآمار
خانوادهLatent structureLatent structure
سال پیدایش19801951
پدیدآورFrederic M. LordLee J. Cronbach
نوعItem response model / latent trait modelReliability / internal consistency coefficient
منبع بنیادینLord, F. M. (1980). Applications of Item Response Theory to Practical Testing Problems. Erlbaum. link ↗Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. DOI ↗
نام‌های دیگرtwo-parameter logistic model, 2PL model, 2PL IRT — İki Parametreli Madde Tepki Modelicoefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha)
مرتبط64
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.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: 2PL IRT · Cronbach's Alpha. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare