V2EX rank-sum

Rank-sum

释义 Definition

rank-sum(秩和):把数据按大小排序后赋予“秩”(名次),再把某一组的秩相加得到的秩的总和。在统计学中常用于秩和检验(如 Wilcoxon rank-sum / MannWhitney U 检验),用来比较两组数据在分布位置(如中位数)上是否有差异。

发音 Pronunciation

/rk sm/

例句 Examples

We calculated the rank-sum for the treatment group.
我们计算了治疗组的秩和。

Because the data were not normally distributed, the researcher used a rank-sum test to compare the two independent groups and reported the p-value.
由于数据不服从正态分布,研究者使用秩和检验比较两组独立样本,并报告了 p 值。

词源 Etymology

该词由 rank(秩/名次)+ sum(总和)构成,字面意思就是“名次的总和”。rank 与“排列、行列”的概念有关(历史上可追溯到法语 rang 等来源),sum 来自拉丁语 summa(总数、总额)。在统计语境中,“秩”强调用相对次序替代原始数值,因此对异常值更不敏感。

相关词 Related Words

文献与著作 Literary Works

  • Practical Nonparametric Statistics(W. J. Conover)
  • Nonparametric Statistical Methods(Myles Hollander, Douglas A. Wolfe, Eric Chicken)
  • Introduction to Mathematical Statistics(Robert V. Hogg, Allen T. Craig)
  • Nonparametrics: Statistical Methods Based on Ranks(Jean Dickinson Gibbons, Subhabrata Chakraborti)
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