V2EX strict invariance

Strict Invariance

定义(Definition)

strict invariance(严格不变性):常见于统计学、心理测量与结构方程模型(SEM)中的“测量不变性”检验层级,指在不同群体或不同时间点之间,不仅因子载荷与截距相等,还要求测量误差/残差方差也相等。它意味着量表在各组的测量精度一致,使跨组比较更稳健。
(该术语在特定领域也可能有其他延伸用法,但最常见的是上述测量不变性语境。)

发音(Pronunciation, IPA)

/strkt nvrins/

例句(Examples)

The study tested strict invariance across age groups.
研究检验了不同年龄组之间的严格不变性。

If strict invariance holds, we can compare observed scores across groups with greater confidence because residual variances are equal.
如果严格不变性成立,由于残差方差相等,我们就能更有把握地比较不同群体的观测得分。

词源(Etymology)

strict 源自拉丁语 strictus(“拉紧的、严格的”),引申为“严格的、严密的”。invariance 由前缀 in-(“不、非”)+ variance(“变异”)构成;variance与拉丁语 variāre(“改变、变化”)相关。合起来字面意思是“严格的、不发生变化的性质”,在统计/测量语境中专指“最严格层级的不变性条件”。

相关词(Related Words)

文献与著作示例(Literary / Notable Works)

  • Meredith, W. (1993). Measurement invariance, factor analysis and factorial invariance.(讨论测量不变性框架,涉及严格层级思想)
  • Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature.(综述中常提及包括 strict invariance 在内的不变性层级)
  • Kline, R. B. Principles and Practice of Structural Equation Modeling.(SEM 教科书中常用 strict invariance 讨论多群组测量等值)
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