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Wilcoxon signed-rank test与Mann–Whitney U test
xbinbzy 2016-6-14 10:42
参考资料: https://en.wikipedia.org/wiki/Wilcoxon_signed-rank_test https://en.wikipedia.org/wiki/Mann–Whitney_U_test https://explorable.com/mann-whitney-u-test 在统计学中,当数据符合正态分布、方差齐性时,常用参数检验,如u检验、t检验等,但当数据不符合正态分布或方差不齐时,则需要利用非参数检验。此处介绍的Wilcoxon-signed-rank-test和Mann-Whitney-U-test均属于非参检验方法。 其中,Wilcoxon-signed-rank-test主要用于成对样品。 The Wilcoxon signed-rank test is a non-parametric statistical hypothesis test used when comparing two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ (i.e. it is a paired difference test ). It can be used as an alternative to the paired Student's t-test , t -test for matched pairs, or the t -test for dependent samples when the population cannot be assumed to be normally distributed . 而 Mann-Whitney-U-test用于两组样品。 In statistics , the Mann–Whitney U test (also called the Mann–Whitney–Wilcoxon ( MWW ), Wilcoxon rank-sum test , or Wilcoxon–Mann–Whitney test ) is a nonparametric test of the null hypothesis that two samples come from the same population against an alternative hypothesis , especially that a particular population tends to have larger values than the other. Unlike the t -test it does not require the assumption of normal distributions. It is nearly as efficient as the t -test on normal distributions. 针对 Wilcoxon-signed-rank-test的数据案例如下: 针对 Mann-Whitney-U-test的数据案例如下: 这是两种方法所适用的数据类型。对于具体的计算过程中,目前在R、SAS、SPSS中均有成熟的计算代码,可直接使用。
个人分类: 数据分析|26595 次阅读|0 个评论

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