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	Cognitive Diagnostic Modeling	潜在クラス分析 (LCA)
分野	Education	統計学
系統	Latent structure	Latent structure
提唱年	2010	1950s–1968
提唱者	Tatsuoka; DiBello, Roussos & Stout; Junker & Sijtsma; de la Torre	Paul F. Lazarsfeld
種類	Restricted latent class models for diagnosing mastery of discrete skills	Latent variable / person-centered classification
原典	Rupp, A. A., Templin, J., & Henson, R. A. (2010). Diagnostic Measurement: Theory, Methods, and Applications. Guilford Press. ISBN: 9781606235270	Goodman, L. A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika, 61(2), 215–231.
別名	CDM, Diagnostic Classification Models, DCM, DINA / G-DINA Models	LCA, latent class model, latent categorical analysis, finite mixture of multinomials
関連	4	6
概要	Cognitive diagnostic models (CDMs), also called diagnostic classification models, are restricted latent class models that report not a single ability score but a profile of which discrete skills or attributes a student has mastered. Each item is linked to the attributes it requires through a Q-matrix, and the model classifies every examinee into one of the possible binary mastery patterns. CDMs answer 'which specific skills does this student lack' rather than 'how much overall ability does this student have,' making them central to fine-grained diagnostic and formative assessment.	Latent class analysis identifies unobserved subgroups — latent classes — within a population by finding patterns of responses across a set of categorical observed indicators. It is the categorical-variable counterpart of cluster analysis, but grounded in an explicit probabilistic model, and is widely used in social, health, and behavioral sciences to discover typologies in survey or diagnostic data.