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ベイズ潜在クラス分析(BLCA)×ベイズクラスター分析×
分野統計学統計学
系統Latent structureLatent structure
提唱年1990s–2000s1998–2002
提唱者Lazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009)Fraley & Raftery (model-based); Dirichlet process formulations by Ferguson (1973) and Antoniak (1974)
種類Bayesian latent variable / finite mixture modelProbabilistic / model-based clustering
原典Dunson, D. B. & Xing, C. (2009). Nonparametric Bayes modeling of multivariate categorical data. Journal of the American Statistical Association, 104(487), 1042–1051. DOI ↗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 ↗
別名Bayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture modelBCA, Bayesian clustering, probabilistic cluster analysis, Bayesian model-based clustering
関連66
概要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.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.
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ScholarGate手法を比較: Bayesian Latent Class Analysis · Bayesian Cluster Analysis. 2026-06-17に以下より取得 https://scholargate.app/ja/compare