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Cognitive Diagnostic Modeling×잠재 계층 분석(Latent Class Analysis, LCA)×
분야Education통계학
계열Latent structureLatent structure
기원 연도20101950s–1968
창시자Tatsuoka; DiBello, Roussos & Stout; Junker & Sijtsma; de la TorrePaul F. Lazarsfeld
유형Restricted latent class models for diagnosing mastery of discrete skillsLatent variable / person-centered classification
원전Rupp, A. A., Templin, J., & Henson, R. A. (2010). Diagnostic Measurement: Theory, Methods, and Applications. Guilford Press. ISBN: 9781606235270Goodman, L. A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika, 61(2), 215–231. DOI ↗
별칭CDM, Diagnostic Classification Models, DCM, DINA / G-DINA ModelsLCA, latent class model, latent categorical analysis, finite mixture of multinomials
관련46
요약Cognitive 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.
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