So sánh phương pháp

	Mô hình IRT Logistic hai tham số (2PL)	Mô hình Logistic Ba Tham Số (3PL)
Lĩnh vực	Trắc lượng tâm lý	Trắc lượng tâm lý
Họ	Latent structure	Latent structure
Năm ra đời	1980	1968
Người khởi xướng	Frederic M. Lord	Allan Birnbaum
Loại	Item response model / latent trait model	Item response model / latent trait model
Công trình gốc	Lord, F. M. (1980). Applications of Item Response Theory to Practical Testing Problems. Erlbaum.	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.
Tên gọi khác	two-parameter logistic model, 2PL model, 2PL IRT — İki Parametreli Madde Tepki Modeli	3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model
Liên quan	6	5
Tóm tắt	The 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 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.