V2EX greenhouse-geisser

Greenhouse-Geisser

Definition / 定义

GreenhouseGeisser(校正/修正):在重复测量 ANOVA 中,当数据不满足球形性(sphericity)假设时,用来调整自由度、从而使 F 检验更保守、更可靠的一种校正方法;其核心是使用 ε(epsilon)系数来缩小自由度。(另有同类方法如 HuynhFeldt 校正。)

Pronunciation / 发音

/rinhas asr/

Etymology / 词源

该术语来源于两位统计学家 Samuel GreenhouseSeymour Geisser 的姓氏。两人于 1959 年提出在重复测量设计中,当协方差结构偏离球形性时,使用 ε 系数对检验自由度进行修正,以控制第一类错误率。

Examples / 例句

If Mauchly’s test is significant, apply the GreenhouseGeisser correction.
如果 Mauchly 球形性检验显著,就应用 GreenhouseGeisser 校正。

Because sphericity was violated, we reported the GreenhouseGeisseradjusted degrees of freedom and p-value for the repeated-mesures ANOVA.
由于不满足球形性,我们在重复测量方差分析中报告了经过 GreenhouseGeisser 调整的自由度和 p 值。

Related Words / 相关词

Literary Works / 文学与学术作品

  • Greenhouse, S., & Geisser, S. (1959). On methods in the analysis of profile data. Biometrika.
  • Field, A. Discovering Statistics Using IBM SPSS Statistics(多版教材均在重复测量 ANOVA 章节讨论该校正)
  • Maxwell, S. E., & Delaney, H. D. Designing Experiments and Analyzing Data: A Model Comparison Perspective
  • Tabachnick, B. G., & Fidell, L. S. Using Multivariate Statistics
  • Keppel, G., & Wickens, T. D. Design and Analysis: A Researcher’s Handbook
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