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| 베이지안 군집 분석× | 베이지안 잠재계층 분석 (Bayesian Latent Class Analysis, BLCA)× | |
|---|---|---|
| 분야 | 통계학 | 통계학 |
| 계열 | Latent structure | Latent structure |
| 기원 연도≠ | 1998–2002 | 1990s–2000s |
| 창시자≠ | Fraley & Raftery (model-based); Dirichlet process formulations by Ferguson (1973) and Antoniak (1974) | Lazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009) |
| 유형≠ | Probabilistic / model-based clustering | Bayesian latent variable / finite mixture model |
| 원전≠ | Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631. DOI ↗ | Dunson, D. B. & Xing, C. (2009). Nonparametric Bayes modeling of multivariate categorical data. Journal of the American Statistical Association, 104(487), 1042–1051. DOI ↗ |
| 별칭 | BCA, Bayesian clustering, probabilistic cluster analysis, Bayesian model-based clustering | Bayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model |
| 관련 | 6 | 6 |
| 요약≠ | Bayesian cluster analysis assigns observations to latent groups by combining a probabilistic model of within-cluster data with prior beliefs about cluster parameters and the number of clusters. It yields posterior probabilities of cluster membership and principled uncertainty estimates, making it more transparent than classical distance-based clustering algorithms. | Bayesian latent class analysis extends classical LCA by placing prior distributions on all model parameters and using posterior inference — typically via MCMC — to classify individuals into unobserved categorical groups, quantify uncertainty around class membership, and select the number of classes in a principled, probabilistic way. |
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