قارن الطرق

	أخذ العينات بطريقة جيبس متعددة المستويات	الاستدلال البايزي الهرمي
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	1990	1972 (Lindley & Smith); consolidated 1995–2013
صاحب الطريقة	Geman & Geman (1984); applied to multilevel models by Gelfand & Smith (1990)	Lindley & Smith; Gelman et al.
النوع	MCMC sampling algorithm	Bayesian multilevel model
المصدر التأسيسي	Gelman, A. & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. ISBN: 978-0521686891	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
الأسماء البديلة	hierarchical Gibbs sampler, blocked Gibbs sampling for multilevel models, multilevel MCMC via Gibbs, Gibbs sampler for mixed-effects models	multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
ذات صلة	6	6
الملخص	Multilevel Gibbs sampling applies the Gibbs MCMC algorithm to hierarchical (multilevel) Bayesian models, cycling through the conditional distributions of group-level parameters and population-level hyperparameters in turn. This exploits the conditional independence structure of the hierarchy to draw exact or near-exact samples from a posterior that would otherwise be analytically intractable.	Hierarchical Bayesian inference is a probabilistic modeling framework that organises parameters into levels, placing priors on the group-level parameters and hyperpriors on the parameters governing those priors. It enables partial pooling of information across groups, balancing the extremes of treating each group as independent or merging them into a single estimate.