手法を比較

	ベイズ潜在クラス分析（BLCA）	混合モデル (Mixture Modeling)
分野	統計学	統計学
系統	Latent structure	Latent structure
提唱年	1990s–2000s	1894
提唱者	Lazarsfeld (classical LCA); Bayesian formulation developed through Cheeseman & Stutz (1996) and Dunson & Xing (2009)	Karl Pearson
種類	Bayesian latent variable / finite mixture model	Latent variable / density estimation
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.	McLachlan, G. J. & Peel, D. (2000). Finite Mixture Models. Wiley-Interscience. ISBN: 978-0471006268
別名	Bayesian LCA, BLCA, Bayesian mixture of multinomials, Bayesian finite mixture model	finite mixture model, mixture distribution model, FMM, model-based clustering
関連	6	6
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.	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.