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베이지안 요인 분석×마르코프 연쇄 몬테카를로 (MCMC)×
분야베이지안베이지안
계열Bayesian methodsBayesian methods
기원 연도2004
창시자Lopes & West (2004) for Bayesian model assessment in factor analysis
유형Bayesian latent variable modelPosterior sampling algorithm
원전Lopes, H. F. & West, M. (2004). Bayesian Model Assessment in Factor Analysis. Statistica Sinica, 14(1), 41–67. link ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
별칭Bayesian EFA, Bayesian CFA, Bayesçi Faktör Analizi, probabilistic factor analysismarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
관련73
요약Bayesian Factor Analysis is a probabilistic latent-variable method that places prior distributions on the factor loading matrix and the residual variances, then infers a full posterior over these parameters from the observed data. Developed prominently in the Bayesian framework by Lopes and West (2004), it extends classical exploratory and confirmatory factor analysis by quantifying uncertainty in every estimated loading rather than reporting single point estimates.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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