V2EX variance-component

Variance Component

Definition|释义

variance component(方差分量/方差成分):在统计建模(尤其是混合效应模型方差分析分层/随机效应模型)中,把总体变异(方差)分解为来自不同来源(如个体差异、班级差异、测量误差等)的各个“部分”。每一部分对应一个随机因素或误差项的方差。

Pronunciation|发音(IPA)

/vrins kmponnt/

Examples|例句

The variance component for schools was larger than the variance component for classrooms.
学校层面的方差分量比班级层面的方差分量更大。

In a mixed-effects model, we estimate each variance component to understand how much variability comes from subjects, settings, and residual error.
在混合效应模型中,我们估计各个方差分量,以理解变异性分别来自受试者、环境设置以及残差误差的比例。

Etymology|词源

variance 来自拉丁语 *variant-*(“变化的”),在统计学中指“变异程度/方差”;component 来自拉丁语 componere(“组合、构成”),表示“组成部分”。合起来的意思就是“构成总体方差的各个部分”,用于描述不同随机来源对总体变异贡献。

Related Words|相关词

Literary Works|文献与著作中的用例

  • Searle, Casella & McCulloch:《Variance Components》专门讨论方差分量模型与估计方法的经典教材。
  • Rao:《Linear Statistical Inference and Its Applications》在方差分量与线性模型推断相关章节中使用该术语。
  • Gelman & Hill:《Data Analysis Using Regression and Multilevel/Hierarchical Models》在多层/分层模型中讨论随机效应对应的方差分量。
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