Distribution-free control chart for Bivariate Process

V.B. Ghute Dept. of Statistics, Solapur University, Solapur, (MS), India [email protected]; +91 9881372729 ______________________________________________________________________________________________ Abstract Nonparametric or distribution-free control chart is useful in statistical process control when the underlying process distribution is unknown or is not likely to be normal. In this study, a distribution-free control chart based on Hodges sign test is developed for detecting the shifts in the location of a bivariate process. A simulation study is conducted to study the average run length performance of the proposed chart and is compared with the parametric control chart under normal and heavy tailed distributions. The study indicates that the proposed control chart is efficient in detecting various magnitudes of shifts when underlying process distribution is heavy tailed.