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| ベイズ回帰× | 混合効果モデル× | |
|---|---|---|
| 分野≠ | ベイズ | 統計学 |
| 系統≠ | Bayesian methods | Regression model |
| 提唱年≠ | — | 1982 |
| 提唱者≠ | — | Laird & Ware |
| 種類≠ | Bayesian linear model | Mixed effects regression |
| 原典≠ | 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 | Laird, N. M., & Ware, J. H. (1982). Random-effects models for longitudinal data. Biometrics, 38(4), 963–974. DOI ↗ |
| 別名≠ | bayesian linear regression, probabilistic regression, bayesian regresyon | LME, LMM, mixed model, random effects model |
| 関連≠ | 2 | 4 |
| 概要≠ | Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off. | A mixed effects model (or linear mixed model) extends ordinary regression by including both fixed effects — population-level parameters shared by all observations — and random effects that capture subject-, group-, or cluster-level variability. It is the standard tool for repeated-measures, longitudinal, and multilevel data where observations within the same unit are correlated. |
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