邦佛洛尼校正
邦佛洛尼校正(英語:Bonferroni correction)是統計學中在多重比較時使用的一種校正方法,以義大利數學家卡羅·埃米利奧·邦佛洛尼的名字命名。
令為一組假設,為每一假設相對應的p值。同時,為虛無假說總數,則為實際為真的虛無假說總數。族錯誤率(familywise error rate,簡稱FWER)指拒絕至少一個實際為真的虛無假說(即出現至少一次型一錯誤)的機率。此時,邦佛洛尼校正是指拒絕所有的虛無假說。在應用邦佛洛尼校正後,FWER滿足。這一結論可以由布林不等式證明:
邦佛洛尼校正是一種相對保守的FWER控制方法,會增加出現型二錯誤的機率。
參考文獻
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