V2EX random-slope

Random-slope

释义 Definition

随机斜率:统计建模(尤其是混合效应模型/多层模型)中的一种设定,指让不同群体/个体(如班级、公司、受试者)在某个自变量上的“斜率”(影响强度、关系大小)可以各不相同,以刻画“效果在群体之间会变”的现象。(常与 random intercept 随机截距一起使用。)

发音 Pronunciation (IPA)

/rndm slop/

例句 Examples

A random-slope model lets the effect of study time vary by student.
随机斜率模型允许“学习时间”的影响在不同学生之间有所不同。

In the mixed-effects analysis, we included a random slope for temperature across sites to capture regional differences in sensitivity.
在混合效应分析中,我们为不同地点加入了“温度”的随机斜率,以捕捉各地区对温度敏感度的差异。

词源 Etymology

random 源自表示“随意/不固定”的含义,在统计学里引申为“来自总体分布、可变且带有随机性的”。slope 原意为“斜坡/斜度”,在数学与统计中表示回归线的“斜率”。合起来 random slope 就是“斜率不是一个固定值,而是允许在群体之间随机变化的斜率”。

相关词 Related Words

文献作品 Literary / Notable Works

  • Data Analysis Using Regression and Multilevel/Hierarchical Models(Gelman & Hill)多层模型中系统讨论随机斜率设定与解释
  • Multilevel Analysis: An Introduction to Basic and Advanced Multilevel Modeling(Snijders & Bosker)以随机截距/随机斜率为核心构建多层模型框架
  • Mixed-Effects Models in S and S-PLUS(Pinheiro & Bates)混合效应模型(含随机斜率)经典参考书
  • Bates et al., “Fitting Linear Mixed-Effects Models Using lme4”(Journal of Statistical Software)R 语言 lme4 中随机斜率结构的常用实现与说明
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