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잠재 계층 분석(Latent Class Analysis, LCA)×혼합 모형화×
분야통계학통계학
계열Latent structureLatent structure
기원 연도1950s–19681894
창시자Paul F. LazarsfeldKarl Pearson
유형Latent variable / person-centered classificationLatent variable / density estimation
원전Goodman, L. A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika, 61(2), 215–231. DOI ↗McLachlan, G. J. & Peel, D. (2000). Finite Mixture Models. Wiley-Interscience. ISBN: 978-0471006268
별칭LCA, latent class model, latent categorical analysis, finite mixture of multinomialsfinite mixture model, mixture distribution model, FMM, model-based clustering
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.Mixture modeling assumes that a population is composed of K unobserved subpopulations, each described by its own probability distribution. The observed data are treated as draws from a weighted combination of these component distributions. It provides a principled, model-based alternative to ad hoc clustering and supports formal comparison of solutions with different numbers of components.
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