قارن الطرق

	نموذج لوجستي ثلاثي المعلمات لنظرية الاستجابة للمفردة (3PL)	ألفا كرونباخ (تحليل الموثوقية)
المجال	القياس النفسي	الإحصاء
العائلة	Latent structure	Latent structure
سنة النشأة	1968	1951
صاحب الطريقة	Allan Birnbaum	Lee J. Cronbach
النوع	Item response model / latent trait model	Reliability / internal consistency coefficient
المصدر التأسيسي	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.	Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334.
الأسماء البديلة	3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model	coefficient alpha, alpha reliability, internal consistency reliability, Güvenilirlik Analizi (Cronbach Alpha)
ذات صلة	5	4
الملخص	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.	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.