邦费罗尼校正是什么?

邦费罗尼校正是什么?

跟单样本t检验不是对应的概念,是在多重假设的检验中使用的多种p值校正方法的一种(最保守的)。

Wekipedia:

Statistical hypothesis testing is based on rejecting the null hypothesis if the likelihood of the observed data under the null hypotheses is low. If multiple comparisons are done or multiple hypotheses are tested, the chance of a rare event increases, and therefore, the likelihood of incorrectly rejecting a null hypothesis (i.e., making a Type I error) increases.

The Bonferroni correction compensates for that increase by testing each individual hypothesis at a significance level of α/m, where α is the desired overall alpha level and m is the number of hypotheses. For example, if a trial is testing m=20 hypotheses with a desired α=0.05, then the Bonferroni correction would test each individual hypothesis at α=0.05/20=0.0025.

Bonferroni correction比较保守,容易错误的接受零假设。用的更多的是Holm's-Bonferroni,比前者要更容易发现显著差异。