Nonparametric precedence chart with repetitive sampling

Abstract

In most real‐world applications, such as production and manufacturing processes, the underlying process distribution does not always follow a normal distribution. In such cases, statistical process control literature recommends the use of nonparametric (or distribution‐free) control charts. This paper introduces a new distribution‐free precedence chart using repetitive sampling. The performance of the proposed chart is investigated in terms of the average run‐length ( ) profile. The expressions of the in‐control process probability and of the proposed chart are introduced using integral formulas. The out‐of‐control performance of the new chart is compared to that of the existing precedence charts with and without runs‐rules. A numerical example is provided using real‐life data to demonstrate the application and implementation of the new chart.