Abstract
Profile process is a common process in the modern industry manufacturing. Profile is a method used to describe quality of product by relationship between one or more explanatory variables and reaction variable. In current literature, there is a normal distribution assumption of the error terms in majority control chart for monitoring linear profiles. In this article we focus on the assumption that he error term do not have normal distribution, do on-line monitoring on phase II linear profiles. We used log-linear model and Pearson chi square test to construct charting statistics. Then used these statistics establish a nonparametric CUSUM control chart. Thus we used statistic simulation to investigate the efficient performance about the control chart we proposed. At last, we used an example to illustrate the control chart we proposed.