Two-Sample Inference Based on One-Sample Sign Statistics
研究了一种两样本检验方法,当两个无分布假设的置信区间不相交时拒绝总体中位数相等的原假设,并比较了三种构造单样本区间的方式,推荐等置信系数的方案。
A two‐sample test is studied which rejects the null hypothesis of equal population medians when two distribution‐free confidence intervals are disjoint. A confidence interval is constructed by subtracting the endpoints of the two one‐sample confidence Intervals. Three different ways to select the one‐sample Intervals are presented. Mood's median test is shown to be one of the solutions; however, an alternative solution that specifies equal confidence coefficients for the one‐sample intervals is recommended. All solutions are shown to have the same asymptotic efficiency.