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Cognitive Diagnostic Modeling×Phân tích Lớp Ẩn (LCA)×
Lĩnh vựcEducationThống kê
HọLatent structureLatent structure
Năm ra đời20101950s–1968
Người khởi xướngTatsuoka; DiBello, Roussos & Stout; Junker & Sijtsma; de la TorrePaul F. Lazarsfeld
LoạiRestricted latent class models for diagnosing mastery of discrete skillsLatent variable / person-centered classification
Công trình gốcRupp, 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 ↗
Tên gọi khácCDM, Diagnostic Classification Models, DCM, DINA / G-DINA ModelsLCA, latent class model, latent categorical analysis, finite mixture of multinomials
Liên quan46
Tóm tắtCognitive 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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