Investigating the Impact of Ranked Set Sampling in Nonparametric CUSUM Control Charts

• DOI: 10.1002/qre.2000
• Publication Date: 2016-04-22T19:45:26Z
• Authors: Muhammad Abid; Hafiz Zafar Nazir; Muhammad Riaz; Zhengyan Lin
• Keywords: CUSUM; Statistical Process Control

Nonparametric control charts can be useful as an alternative in practice to the data expert when there is a lack of knowledge about underlying distribution. In this study, nonparametric cumulative sum (CUSUM) sign chart for monitoring and detecting possible deviation from process mean using ranked set sampling proposed. Ranked effective method observations are inexpensive, measurements perhaps destructive. The average run length used performance measure proposed CUSUM chart. Simulation study shows that version generally outperforms than parametric simple random scheme. An illustrative example also provided practical consideration. Copyright © 2016 John Wiley & Sons, Ltd.