手法を比較

	ベイズ階層モデル	薬物動態コンパートメントモデル
分野	ベイズ	ファーマコメトリクス
系統	Bayesian methods	Regression model
提唱年	2006	1982
提唱者	Gelman & Hill (2006); Bayesian multilevel tradition	Gibaldi & Perrier
種類	hierarchical probabilistic model	Deterministic ODE-based pharmacokinetic model
原典	Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press.	Gibaldi, M., & Perrier, D. (1982). Pharmacokinetics (2nd ed.). Marcel Dekker. ISBN: 978-0-8247-1042-2
別名	multilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling model	Mammillary Compartment Model, Multi-Compartment PK Model, Compartmental Analysis, Farmakokinetik Kompartman Modeli
関連	4	3
概要	Bayesian hierarchical modelling, popularised by Gelman and Hill (2006), is a Bayesian approach to nested data structures — such as students within schools within districts — that estimates separate parameters at each level while allowing those levels to share statistical strength through a mechanism called partial pooling. Where a classical hierarchical linear model treats group means as fixed unknown quantities, the Bayesian version places hyperprior distributions on those group means so that information flows freely across levels, producing more reliable group-level estimates whenever any individual group has few observations.	The pharmacokinetic compartment model represents the body as one or more hypothetical compartments interconnected by first-order rate processes, describing how a drug is absorbed, distributed, and eliminated over time. Systematized by Gibaldi and Perrier in 1982, these models use ordinary differential equations to characterize plasma concentration-time profiles. They are the cornerstone of drug development, dosage regimen design, and regulatory submission pharmacokinetic analyses.