成组设计的两样本比较秩和检验与配对设计差值的符号秩和检验——秩和检验公式的简化

The Rank Sum Test for Two Independent Samples and for Paired Data——The Simplified Formula of Rank Sum Test

目的 秩和检验是非参数检验中检验效率比较高 ,而且又是最常用的一种方法。当相同秩次较多时 ,必须利用校正公式。若能导出相应的简化公式则可以省去校正的繁琐 ,进而简化计算。方法 运用校正的思想将校正的内容融于简化公式。结果 简化公式与校正公式所得结论相同。结论 简化公式形式简单、易于理解 ,特别对非统计专业和对校正公式了解不深的人 。

Objective The rank sum test has more efficiency among the non-parameter test,and also is frequently used.When there are many same ranks,we have to use adjustment formula.If the corresponding simplified formula can be derived,we can leave out the trivial detail of adjustment,so as to simplify calculation.Methods Applying the thought of adjustment,we can make the content of adjustment into the simplified formula.Results There are the same results in both simplified formula and adjustment formula.Conclusion The simplified formula is simple in form,and easy to understand,and no doubt it is a better method.