V2EX partial pooling

Partial Pooling

Definition / 释义

部分汇聚(部分池化):一种统计建模(常见于贝叶斯分层/多层模型)的做法,把各组数据的估计既不完全分开(no pooling),也不完全合并(complete pooling),而是让每组估计在“组内信息”和“总体信息”之间折中,从而减少小样本组的噪声、提高稳定性。

Pronunciation / 发音(IPA)

/prl pul/

Examples / 例句

Partial pooling helps stabilize estimates for small groups.
部分汇聚有助于让小组样本的估计更稳定。

Using a hierarchical model with partial pooling, the city-level effects are shrunk toward the overall mean in proportion to their uncertainty.
在采用部分汇聚的分层模型中,各城市层面的效应会根据不确定性大小向总体均值“收缩”。

Etymology / 词源

pooling 原意是“把资源/信息放进同一个池子里共享(pool ‘池子、共有资金’)”。在统计语境中,pooling 引申为“把不同组的数据合并来共同估计”。partial pooling 则强调“只合并一部分”:保留组间差异,同时借助总体信息进行“收缩”(shrinkage)。

Related Words / 相关词汇

Notable Works / 文献与作品中的用例

  • Bayesian Data Analysis(Gelman, Carlin, Stern, Dunson, Vehtari, Rubin):讨论分层模型与(部分)汇聚思想。
  • Data Analysis Using Regression and Multilevel/Hierarchical Models(Gelman & Hill):以应用案例讲解多层模型与部分汇聚。
  • Statistical Rethinking(Richard McElreath):用直观示例介绍分层建模与部分汇聚(收缩)效应。
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