手法を比較

	ラッシュモデル	3パラメータロジスティックIRTモデル（3PL）
分野	心理測定学	心理測定学
系統	Latent structure	Latent structure
提唱年	1960	1968
提唱者	Georg Rasch	Allan Birnbaum
種類	Item Response Theory / Latent trait model	Item response model / latent trait model
原典	Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Danish Institute for Educational Research, Copenhagen.	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.
別名	1PL IRT, one-parameter logistic model, Rasch Modeli — 1PL IRT, 1PL model	3PL IRT — Üç Parametreli Madde Tepki Modeli, three-parameter logistic model, 3PLM, Birnbaum model
関連	6	5
概要	The Rasch model, introduced by Georg Rasch in 1960, is the simplest member of the Item Response Theory (IRT) family. It assigns a single difficulty parameter to each test item and places both item difficulties and person abilities on the same logit scale, enabling direct, sample-independent comparison of items and persons.	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.