V2EX signed-rank

Signed-Rank

Definition / 释义

signed-rank(符号秩):统计学(非参数统计)中的一种思想/方法,把每个差值的正负号(sign)与其绝对值大小的秩(rank)结合起来,用于检验或比较(常见于Wilcoxon signed-rank test:威尔科克森符号秩检验)。常用于配对样本单样本中位数相关问题。

Pronunciation / 发音(IPA)

/sand rk/

Examples / 例句

The signed-rank test is often used when the data are not normally distributed.
当数据不服从正态分布时,常会使用符号秩检验。

After computing the differences for each pair, we assign ranks to the absolute differences and then sum the signed ranks to form the test statistic.
在计算每一对的差值后,我们对差值的绝对值进行排序并赋予秩,然后把带符号的秩相加来构造检验统计量。

Etymology / 词源

signed-rank是由 signed(带符号的)rank(秩/排名) 组合而成的复合词:先对差值大小进行“排秩”,再用原差值的正负号给这些秩加上“号”,因此得名。它在非参数方法中很常见,用来在不强依赖正态分布假设的情况下进行推断。

Related Words / 相关词汇

Literary Works / 文献与著作中的用例

  • Nonparametric Statistical Methods(Hollander, Wolfe, & Chicken)系统讲解符号秩及相关检验方法
  • Practical Nonparametric Statistics(W. J. Conover)包含signed-rank思想与Wilcoxon符号秩检验的应用示例
  • Nonparametric Statistics: A Step-by-Step Approach(Gregory W. Corder & Dale I. Foreman)以教学方式介绍符号秩检验的步骤与解释
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