V2EX random effects

Random Effects

定义 Definition

“Random effects(随机效应)”是统计学/计量经济学中的术语,指在模型中把某些影响因素视为从总体分布中“随机抽取”的效应,用来刻画个体(如受试者、学校、公司、地区等)之间的未观测差异。常见于混合效应模型(mixed-effects models)层级/多层模型(hierarchical/multilevel models)中。除统计含义外,在其他语境中也可能字面指“随机产生的效果”,但最常用的是前者。

发音 Pronunciation (IPA)

/rndm fekts/

例句 Examples

Random effects help account for differences between patients.
随机效应有助于解释不同病人之间的差异。

We fitted a mixed-effects model with random effects for classrooms to capture correlation among students taught by the same teacher.
我们拟合了一个混合效应模型,为“班级”设置随机效应,以捕捉同一位老师教授的学生之间的相关性。

词源 Etymology

“Random”源自表示“无规则、偶然”的含义,“effects”意为“效应/影响”。在统计建模中,“随机效应”这一说法强调:这些效应不是为每个组/个体都单独估计一个固定常数,而是被假定来自某个概率分布(常见如正态分布),从而用较少参数表达组间变异并支持对总体的推断。

相关词 Related Words

文学与名著用例 Literary & Notable Works

  • Linear Mixed Models: A Practical Guide Using Statistical Software(随机效应与混合模型的入门与应用中频繁出现)
  • Data Analysis Using Regression and Multilevel/Hierarchical Models(Gelman & Hill,多层/层级模型中系统讨论 random effects)
  • Mixed-Effects Models in S and S-PLUS(Pinheiro & Bates,混合效应建模经典著作之一)
  • Applied Longitudinal Analysis(在纵向数据分析中大量使用并解释随机效应结构)
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