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| Analisi Bayesiana dei Cluster× | Analisi Bayesiana delle Classi Latenti (BLCA)× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Latent structure | Latent structure |
| Anno di origine≠ | 1998–2002 | 1990s–2000s |
| Ideatore≠ | 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) |
| Tipo≠ | Probabilistic / model-based clustering | Bayesian latent variable / finite mixture model |
| Fonte seminale≠ | 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 ↗ |
| Alias | BCA, Bayesian clustering, probabilistic cluster analysis, Bayesian model-based clustering | Bayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model |
| Correlati | 6 | 6 |
| Sintesi≠ | 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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