V2EX f-distribution

F-Distribution

Definition / 定义

F 分布:一种连续概率分布,常用于比较两个总体方差是否相等,以及在方差分析(ANOVA)、回归模型的整体显著性检验等统计推断中作为检验统计量的分布。(也常写作 F distribution

Pronunciation / 发音

/f dstrbjun/

Examples / 例句

The test statistic follows an F-distribution under the null hypothesis.
在原假设成立时,该检验统计量服从 F 分布。

To compare the variances of two samples, we compute an F value and check it against the F-distribution with the appropriate degrees of freedom.
为了比较两个样本的方差,我们计算一个 F 值,并用相应自由度的 F 分布来判断其显著性。

Etymology / 词源

“F-distribution”中的 F 通常被解释为来自统计学家 Ronald A. Fisher(费舍尔) 的姓氏首字母。F 分布可由两个相互独立的卡方分布(各自除以自由度)之比推导而来,因此非常适合用于“方差之比”的检验场景。

Related Words / 相关词

Literary Works / 文学作品

  • Statistical Methods for Research Workers Ronald A. Fisher
  • The Design of Experiments Ronald A. Fisher
  • Introduction to Mathematical Statistics Robert V. Hogg & Allen T. Craig
  • Applied Linear Statistical Models Kutner, Nachtsheim, Neter & Li
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