成组设计的多个样本比较与多个样本间两两比较秩和检验公式的简化

The simplification on the formula of rank sum test about the comparison of independent several and any two of several samples

目的 成组设计的多个样本比较与多个样本间两两比较的秩和检验 ,是非参数检验中用于检验多个样本比较与多个样本比较间两两比较的方法 ,而且又最常用的一种方法。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 通过校正的思想将校正的内容溶于简化公式。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理解不深的人而言 ,无疑是一种好方法。

Objective The rank sum test about the comparison of independent several samples and any two of several samples is a method used mostly in the non-parameter test. When there are many same ranks, the adjustment formula was used.If the corresponding simplification formula can be dervied, the trivial detail of adjustment can be leved, so as to simplify calculation. Methods Applying the thought of adjustment, the content of adjustment into the simplification formual can be made. Results There are the same results of both simplification formula and adjustment formula. Conclusion The simplification formula is simple in form, and easy to understand, and no doubt it is a better method.