V2EX alternative-hypothesis

Alternative Hypothesis

释义 Definition

备择假设(也作“对立假设”,记作 H 或 Ha):在假设检验中,与原假设(H)相对的假设,表示研究者希望获得证据支持的结论(例如“存在差异/存在效应/存在关联”)。在数据足够支持时,检验结果会倾向于拒绝 H并支持 H。该术语在不同语境下也可指“替代性的解释/方案”,但统计学含义最常见。

发音 Pronunciation (IPA)

/ltrntv hapθss/

例句 Examples

The alternative hypothesis is that the new drug lowers blood pressure.
备择假设是:新药可以降低血压。

After running the t-test, we found evidence consistent with the alternative hypothesis that the two group means differ.
在进行 t 检验后,我们发现证据与“两个组的均值存在差异”的备择假设一致。

词源 Etymology

alternative 源自拉丁语 alternare(轮流、交替),引申为“另一种可能的选择”;hypothesis 源自希腊语 hypothesis(“放在下面的东西”,引申为“假设、前提”)。合在一起,alternative hypothesis 直译为“另一种(与原假设相对的)假设”,在统计检验中专指与 H 对立、用来代表“有效应/有差异”的假设。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Statistical Inference(Casella & Berger)系统讲解原假设与备择假设在推断框架中的角色。
  • Introduction to the Practice of Statistics(Moore, McCabe, Craig)在入门统计课程中频繁出现,用于解释检验思路与结论表述。
  • All of Statistics(Larry Wasserman)在假设检验与误差类型章节中使用该术语。
  • The Lady Tasting Tea(David Salsburg)在介绍统计思想与检验方法的发展史时涉及相关概念与语言。
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