基于中位数排序集抽样的Wilcoxon符号秩检验(英文)

Wilcoxon Signed Rank Test using Median Ranked Set Sampling

提出了基于中位数排序集抽样的Wilcoxon符号秩检验.证明了该检验统计量是渐近适应任意分布的,并系统地证明了该检验统计量的Pitman效率不仅高于简单随机样本的Wilcoxon符号秩统计量,还优于中位数排序集抽样的符号统计量.

This paper considers Wilcoxon signed rank test based on the median ranked set sample. For any fixed set size in the proposed sampling the asymptotic distribution-free of the test statistic is established. Then, it is proofed analytically the Pitman efficacy of the Wilcoxon signed rank test under the median ranked set sampling is not only higher than that under the simple random sampling but also superior to the sign test under the median ranked set sampling.