A Control Chart Using Quartile Pair Ranked Set Sampling for Monitoring the Process Mean

Abstract

The sampling scheme plays an important role in the performance of control charts. This study leads to the development of a new Shewhart-type mean control chart to monitor the process by employing cost-effective quartile pair ranked set sampling (QPRSS) method. This competes with known mean control charts based on simple random sampling (SRS) and the existing pair ranked set sampling methods. The average run length (ARL) and the standard deviation of run length (SDRL) are utilized as performance measures to assess the efficiency of proposed QPRSS mean control chart and other considered SRS, pair ranked set sampling (PRSS) and extreme pair ranked set sampling (EPRSS) mean charts by using Monte Carlo simulations. The simulation results of the QPRSS mean control chart are better than the results obtained using SRS, PRSS and EPRSS mean control charts. The application of the proposed control chart is demonstrated with real-life data that supported the findings of the simulation study.