V2EX critical value

Critical Value

释义 Definition

critical value临界值。在统计学中指用来划分“拒绝域/接受域”的阈值;当检验统计量超过(或落入)该数值所界定的范围时,就会在给定显著性水平下拒绝原假设。(在不同检验中也可指分布分位点,如 z 临界值、t 临界值、χ 临界值等。)

发音 Pronunciation (IPA)

/krtkl vlju/

例句 Examples

The critical value at the 5% level is 1.96.
在 5% 显著性水平下,临界值是 1.96。

If the test statistic exceeds the critical value, we reject the null hypothesis and conclude the effect is statistically significant.
如果检验统计量超过临界值,我们就拒绝原假设,并认为该效应在统计上显著。

词源 Etymology

critical 源自希腊语词根 *krit-*(“判断、裁决”),经由拉丁语与法语进入英语,含“关键的、决定性的”之意;value 来自拉丁语 valere(“有价值、有效力”)。合在一起,critical value 字面即“起决定作用的数值”,在统计语境中特指用于作出决策的阈值/分界点。

相关词 Related Words

文学与著作 Literary Works

  • Statistical Inference(George Casella & Roger L. Berger)
  • Introduction to Mathematical Statistics(Robert V. Hogg, Joseph W. McKean, Allen T. Craig)
  • All of Statistics: A Concise Course in Statistical Inference(Larry Wasserman)
  • The Lady Tasting Tea: How Statistics Revolutionized Science in the Twentieth Century(David Salsburg)
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