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잠재 계층 분석(Latent Class Analysis, LCA)×Rasch 모형×
분야통계학심리측정학
계열Latent structureLatent structure
기원 연도1950s–19681960
창시자Paul F. LazarsfeldGeorg Rasch
유형Latent variable / person-centered classificationItem Response Theory / Latent trait model
원전Goodman, L. A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika, 61(2), 215–231. DOI ↗Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests. Danish Institute for Educational Research, Copenhagen. link ↗
별칭LCA, latent class model, latent categorical analysis, finite mixture of multinomials1PL IRT, one-parameter logistic model, Rasch Modeli — 1PL IRT, 1PL model
관련66
요약Latent 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.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.
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