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A common approach in nonparametric statistical method is to transform data to ranks. A ranking of n ordered observations { x 1 < x 2 <, …, < x n } will be a set of n ranks { r 1 <, …, < r n } where x i is represented by the rank r i in calculations. The rank sum is \(^1\!\!/\!_2n(n+1),\) and \(\displaystyle \sum {}{} {{r^2}} = \displaystyle \frac {{{n^3} - n}}{{12}}.\)

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Ranks

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  • 发表日期：

    2025年

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  • Elisabeth Svensson

摘要

A common approach in nonparametric statistical method is to transform data to ranks. A ranking of n ordered observations { x 1 < x 2 <, …, < x n } will be a set of n ranks { r 1 <, …, < r n } where x i is represented by the rank r i in calculations. The rank sum is \(^1\!\!/\!_2n(n+1),\) and \(\displaystyle \sum {}{} {{r^2}} = \displaystyle \frac {{{n^3} - n}}{{12}}.\)