Department of Statistics, Government College University, Faisalabad, Pakistan.
Department of Statistics, University of Sargodha, Sargodha, Pakistan.
PLoS One. 2018 Apr 17;13(4):e0195762. doi: 10.1371/journal.pone.0195762. eCollection 2018.
In this paper, ranked set sampling is used for developing a non-parametric location chart which is developed on the basis of Wilcoxon signed rank statistic. The average run length and some other characteristics of run length are used as the measures to assess the performance of the proposed scheme. Some selective distributions including Laplace (or double exponential), logistic, normal, contaminated normal and student's t-distributions are considered to examine the performance of the proposed Wilcoxon signed rank control chart. It has been observed that the proposed scheme shows superior shift detection ability than some of the competing counterpart schemes covered in this study. Moreover, the proposed control chart is also implemented and illustrated with a real data set.
本文采用有序样本法，基于 Wilcoxon 符号秩统计量，开发了一种非参数位置图。平均运行长度和一些其他运行长度特征被用作评估所提出方案性能的度量。考虑了一些选择分布，包括拉普拉斯（或双指数）、逻辑、正态、污染正态和学生 t 分布，以检验所提出的 Wilcoxon 符号秩控制图的性能。观察到所提出的方案比本研究中涵盖的一些竞争方案具有更好的偏移检测能力。此外，还使用实际数据集实现和说明了所提出的控制图。
