（英语）统计学证明问题

题目

（英语）统计学证明问题
you demonstrated that for the two-group permutation test,the same p-value resulted,regardless of whether the difference in means or the mean of one of the samples was used as the test statistic.Prove that this is true in general,i.e.,that using the mean of one sample as test statistic must yield the same p-value as using the mean difference
我题目意思并不完全了解,也不知道应该怎么证明,

答案

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你已经证明对于含有两个组的排列检验,无论样本中一个或几个用于测试统计的均值有何不同,P值的结果相同.请证明这情况普遍存在,比如：使用一个测试统计的样本均值,必会得出与 使用样本均差 相同的p值.